Source string | Question string | Answer string | Question_type string | Referenced_file(s) string | chunk_text string | expert_annotation string | specific to paper string | Label int64 |
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Expert | What is a stable closure phase? | A consistent phase sum around aperture triangles, indicating low noise and beam symmetry. | Fact | Carilli_2024.pdf | III. EXPERIMENTAL SETUP The Xanadu optical bench setup at the ALBA synchrotron light source was the same as that used in Torino & Iriso (2016), including aperture mask location, reimaging optics to achieve far-field equivalence, narrow band filters centered at 538 nm with a bandwidth of 10 nm, and CCD camera imaging. T... | augmentation | NO | 0 |
Expert | What is a stable closure phase? | A consistent phase sum around aperture triangles, indicating low noise and beam symmetry. | Fact | Carilli_2024.pdf | The challenge is that one cannot independently determine the gain of hole 5 from the measurements, as was done for the five hole non-redundant data, since one cannot separate the gain factor and source size from the decoherence due to redundancy. As a start to the analysis, we investigate the time variability of the vi... | augmentation | NO | 0 |
Expert | What is a stable closure phase? | A consistent phase sum around aperture triangles, indicating low noise and beam symmetry. | Fact | Carilli_2024.pdf | $$ \\mathrm { D e c o h e r e n c e } = \\mathrm { V } _ { \\mathrm { 6 H m e a s u r e d } } / ( \\gamma _ { \\mathrm { 0 , 1 } } \\mathrm { G } _ { \\mathrm { 0 } } \\mathrm { G } _ { \\mathrm { 1 } } + \\gamma _ { \\mathrm { 0 , 1 } } \\mathrm { G } _ { \\mathrm { 2 } } \\mathrm { G } _ { 5 } ) $$ Figure 29 shows th... | augmentation | NO | 0 |
Expert | What is a stable closure phase? | A consistent phase sum around aperture triangles, indicating low noise and beam symmetry. | Fact | Carilli_2024.pdf | To check if some of the decoherence of 3 ms vs 1 ms data could be caused by changing gain solutions in the joint fitting process, in Figure 25 we show the illumination values for the 5-holes derived from 1 ms vs. 3 ms data from the source fitting procedure. The illumination is defined as $\\mathrm { G a i n ^ { 2 } }$ ... | augmentation | NO | 0 |
IPAC | What is a typical diameter of a wire in a wire scanner at a free electron laser facility? | 5 µm | Fact | Hermann_et_al._-_2021_-_Electron_beam_transverse_phase_space_tomography_using_nanofabricated_wire_scanners_with_submicromete.pdf | The principle of the laser wire profile measurement is based on photoionization, as shown in Eq. 1. $$ H ^ { - } + \\gamma H ^ { 0 } + e ^ { - } $$ When the Laser intercepts with the $\\mathrm { H } ^ { - }$ beam at a certain wavelength, it causes electrons to detach from the $\\mathrm { H } ^ { - }$ . The density of ... | augmentation | NO | 0 |
IPAC | What is a typical diameter of a wire in a wire scanner at a free electron laser facility? | 5 µm | Fact | Hermann_et_al._-_2021_-_Electron_beam_transverse_phase_space_tomography_using_nanofabricated_wire_scanners_with_submicromete.pdf | File Name:WIRE_SCANNER_ASSESSMENT_OF_TR_ANSVERSE_BEAM_SIZE_IN_THE.pdf WIRE SCANNER ASSESSMENT OF TRANSVERSE BEAM SIZE IN THE FERIMLAB SIDE-COUPLED LINAC\\* E. Chen, R. Sharankova, J. Stanton, Fermi National Accelerator Laboratory, Batavia, USA Abstract The Fermilab Side-Coupled Linac contains seven 805 MHz modules acce... | augmentation | NO | 0 |
IPAC | What is a typical diameter of a wire in a wire scanner at a free electron laser facility? | 5 µm | Fact | Hermann_et_al._-_2021_-_Electron_beam_transverse_phase_space_tomography_using_nanofabricated_wire_scanners_with_submicromete.pdf | Table: Caption: Table 1: Scanning Magnet Parameters Body: <html><body><table><tr><td>Parameter</td><td>Value</td></tr><tr><td>Width</td><td>385 mm</td></tr><tr><td>Length (mechanical)</td><td>250 mm</td></tr><tr><td>Effective Length</td><td>327 mm</td></tr><tr><td>Gap</td><td>75 mm</td></tr><tr><td>Weight</td><td>140 ... | augmentation | NO | 0 |
IPAC | What is a typical diameter of a wire in a wire scanner at a free electron laser facility? | 5 µm | Fact | Hermann_et_al._-_2021_-_Electron_beam_transverse_phase_space_tomography_using_nanofabricated_wire_scanners_with_submicromete.pdf | The overall dimension of the IR-FEL facility is $1 1 \\mathrm { m }$ $\\times 1 0 \\mathrm { m }$ . Compared with FELiChEM facility [5], the primary difference is that this FEL leaves out the magnetic compressor (chicane) and redesign the buncher section while retaining the feasibility of output a high-peak-current ele... | augmentation | NO | 0 |
IPAC | What is a typical diameter of a wire in a wire scanner at a free electron laser facility? | 5 µm | Fact | Hermann_et_al._-_2021_-_Electron_beam_transverse_phase_space_tomography_using_nanofabricated_wire_scanners_with_submicromete.pdf | medium changes, thus adjusting the dispersion and the pulse width. This mechanism allows for the UV pulse width to be regulated from 145 fs (FWHM) to 210 fs (FWHM), as shown in Fig. 2. The starting width of 145 fs is due to the minimum thickness of $3 \\ \\mathrm { m m }$ of the optical wedge. However, the smallest ach... | augmentation | NO | 0 |
IPAC | What is a typical diameter of a wire in a wire scanner at a free electron laser facility? | 5 µm | Fact | Hermann_et_al._-_2021_-_Electron_beam_transverse_phase_space_tomography_using_nanofabricated_wire_scanners_with_submicromete.pdf | In this paper, we will describe our recent upgrade of the laser wire system. The previously used Q-switched laser was replaced by a customized laser system consisting of fiber-based seeders and diode-pumped solid-state amplifiers. The laser pulse width can be selected over a wide range from a few picoseconds to over 10... | augmentation | NO | 0 |
IPAC | What is a typical diameter of a wire in a wire scanner at a free electron laser facility? | 5 µm | Fact | Hermann_et_al._-_2021_-_Electron_beam_transverse_phase_space_tomography_using_nanofabricated_wire_scanners_with_submicromete.pdf | Table: Caption: Table 2: Fiber Laser Parameters Body: <html><body><table><tr><td>LaserWavelength</td><td>1054 nm</td></tr><tr><td>Laser Powerat Beamline</td><td>Up to 1 W</td></tr><tr><td>Laser Pulse Frequency</td><td>162.5 MHz</td></tr><tr><td>Laser Pulse Width (FWHM)</td><td>12 ps</td></tr></table></body></html> To ... | augmentation | NO | 0 |
IPAC | What is a typical diameter of a wire in a wire scanner at a free electron laser facility? | 5 µm | Fact | Hermann_et_al._-_2021_-_Electron_beam_transverse_phase_space_tomography_using_nanofabricated_wire_scanners_with_submicromete.pdf | Gun to Sample Design 200fC Using the results in Fig. 2, an optimised solution at $2 0 0 \\mathrm { f C }$ , including solenoidal lenses, has been designed at a gun phase of $+ 5 ^ { \\circ }$ and laser pulse length of 5 ps, and is shown in Fig. 4. The solution uses a gun solenoid lens $0 . 4 2 \\mathrm { m }$ from the ... | augmentation | NO | 0 |
expert | What is a typical diameter of a wire in a wire scanner at a free electron laser facility? | 5 µm | Fact | Hermann_et_al._-_2021_-_Electron_beam_transverse_phase_space_tomography_using_nanofabricated_wire_scanners_with_submicromete.pdf | assume a specific shape (e.g., Gaussian) of the distribution, asymmetries, double-peaks, or halos of the distribution can be reconstructed (an example is shown in Appendix C). Properties of the transverse phase space including, transverse emittance in both planes, astigmatism and Twiss parameters can be calculated from... | 2 | NO | 0 |
expert | What is a typical diameter of a wire in a wire scanner at a free electron laser facility? | 5 µm | Fact | Hermann_et_al._-_2021_-_Electron_beam_transverse_phase_space_tomography_using_nanofabricated_wire_scanners_with_submicromete.pdf | Table: Caption: TABLE I. Normalized emittance $\\varepsilon _ { n }$ , Twiss $\\beta$ -function at the waist $\\beta ^ { * }$ , and corresponding beam size $\\sigma ^ { * }$ of the reconstructed transverse phase space distribution. Body: <html><body><table><tr><td></td><td>εn (nm rad)</td><td>β*(cm)</td><td>0* (μm)... | 1 | NO | 0 |
IPAC | What is a typical diameter of a wire in a wire scanner at a free electron laser facility? | 5 µm | Fact | Hermann_et_al._-_2021_-_Electron_beam_transverse_phase_space_tomography_using_nanofabricated_wire_scanners_with_submicromete.pdf | Other heating mechanisms are, for instance, ohmic heating due to currents flowing through the wire or electromagnetic discharge between the wire and the accelerator components. Cooling The two principal cooling mechanisms are radiative and thermionic emissions. The heat capacity of the wire plays an important role for ... | 5 | NO | 1 |
expert | What is a typical diameter of a wire in a wire scanner at a free electron laser facility? | 5 µm | Fact | Hermann_et_al._-_2021_-_Electron_beam_transverse_phase_space_tomography_using_nanofabricated_wire_scanners_with_submicromete.pdf | At the SLAC Final Focus Test Beam experiment a laserCompton monitor was used to characterize a $7 0 \\ \\mathrm { n m }$ wide beam along one dimension [25]. The cost and complexity of this system, especially for multiangle measurements, are its main drawbacks. Concerning radiation hardness of the nanofabricated wire sc... | 2 | NO | 0 |
IPAC | What is a typical diameter of a wire in a wire scanner at a free electron laser facility? | 5 µm | Fact | Hermann_et_al._-_2021_-_Electron_beam_transverse_phase_space_tomography_using_nanofabricated_wire_scanners_with_submicromete.pdf | Countermeasures The remedies to wire breakage are: reduction of prestress, usage of di!erent wire material (e.g. carbon fiber will withstand the beam intensity and the prestress), and the scan speed increase. The solution currently applied is the installation of a thinner wire, which will lead to lower scan temperature... | 2 | NO | 0 |
expert | What is a typical diameter of a wire in a wire scanner at a free electron laser facility? | 5 µm | Fact | Hermann_et_al._-_2021_-_Electron_beam_transverse_phase_space_tomography_using_nanofabricated_wire_scanners_with_submicromete.pdf | APPENDIX B: TERMINATION CRITERIONFOR RECONSTRUCTION ALGORITHM The algorithm to reconstruct the phase space from wire scan measurements iteratively approximates the distribution that fits best to all measurements (see Sec. III). The iteration is stopped when a criterion based on the relative change from the current to t... | augmentation | NO | 0 |
expert | What is a typical diameter of a wire in a wire scanner at a free electron laser facility? | 5 µm | Fact | Hermann_et_al._-_2021_-_Electron_beam_transverse_phase_space_tomography_using_nanofabricated_wire_scanners_with_submicromete.pdf | 2. Amplitude errors Jitter to the BLM signal is introduced by read-out noise of the PMT $( < 1 \\% )$ , charge fluctuations of the machine and halo-particles scattering at other elements of the accelerator. The charge measured by the BPMs fluctuated by $1 . 3 \\%$ (rms) during the measurement. The signal-to-noise ratio... | augmentation | NO | 0 |
expert | What is a typical diameter of a wire in a wire scanner at a free electron laser facility? | 5 µm | Fact | Hermann_et_al._-_2021_-_Electron_beam_transverse_phase_space_tomography_using_nanofabricated_wire_scanners_with_submicromete.pdf | V. DISCUSSION The reconstructed phase space represents the average distribution of many shots, since shot-to-shot fluctuations in the density cannot be characterized with multishot measurements like wire scans. Errors induced by total bunch charge fluctuations and position jitter of the electron beam could be corrected... | augmentation | NO | 0 |
expert | What is a typical diameter of a wire in a wire scanner at a free electron laser facility? | 5 µm | Fact | Hermann_et_al._-_2021_-_Electron_beam_transverse_phase_space_tomography_using_nanofabricated_wire_scanners_with_submicromete.pdf | The reconstructed normalized emittances are up to a factor of two larger than the normalized emittances measured after the second bunch compressor. This emittance increase can be attributed to various reasons. Within a distance of $1 0 3 \\mathrm { ~ m ~ }$ the electron beam is accelerated from $2 . 3 { \\mathrm { G e ... | augmentation | NO | 0 |
expert | What is a typical diameter of a wire in a wire scanner at a free electron laser facility? | 5 µm | Fact | Hermann_et_al._-_2021_-_Electron_beam_transverse_phase_space_tomography_using_nanofabricated_wire_scanners_with_submicromete.pdf | $$ \\sigma ( z ) = \\sqrt { \\beta ( z ) \\varepsilon _ { n } ( z ) / \\gamma ( z ) } , $$ where $\\beta$ denotes the Twiss (or Courant-Snyder) parameter of the magnetic lattice, $\\gamma$ is the relativistic Lorentz factor of the electrons and $\\varepsilon _ { n }$ is the normalized emittance of the beam. With an opt... | augmentation | NO | 0 |
expert | What is a typical diameter of a wire in a wire scanner at a free electron laser facility? | 5 µm | Fact | Hermann_et_al._-_2021_-_Electron_beam_transverse_phase_space_tomography_using_nanofabricated_wire_scanners_with_submicromete.pdf | The ensemble of particles is iteratively optimized so that their projections match with the set of measured projections. The algorithm starts from a homogeneous particle distribution. One iteration consists of the following operations. (i) Transport $T ( z )$ (ii) Rotation $R ( \\theta )$ (iii) Histogram of the transpo... | augmentation | NO | 0 |
IPAC | What is radiation damping? | The process by which synchrotron radiation emission causes a reduction in transverse and longitudinal emittances. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | File Name:MEASUREMENTSOFLONGITUDINALLOSSOFLANDAUDAMPINGIN.pdf MEASUREMENTS OF LONGITUDINAL LOSS OF LANDAU DAMPING IN THE CERN PROTON SYNCHROTRON L. Intelisano‚àó1, H. Damerau, I. Karpov, CERN, Geneva, Switzerland 1also at Sapienza Universit√† di Roma, Rome, Italy Abstract Landau damping represents the most efficient st... | augmentation | NO | 0 |
IPAC | What is radiation damping? | The process by which synchrotron radiation emission causes a reduction in transverse and longitudinal emittances. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | CONCLUSION AND PLANS We conducted computational investigation of the higher order mode suppression in a C-band high gradient accelerating structure with distributed coupling. The suppression is achieved with four damping manifolds running the length of the structure. We computed the Q-factors and the products of kick f... | augmentation | NO | 0 |
expert | What is radiation damping? | The process by which synchrotron radiation emission causes a reduction in transverse and longitudinal emittances. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | $$ After the emission of a photon, the action of our single electron is $$ \\begin{array} { r c l } { { J _ { y } ^ { \\prime } } } & { { = } } & { { \\displaystyle \\frac { 1 } { 2 } \\gamma _ { y } y ^ { 2 } + \\alpha _ { y } y p _ { y } \\left( 1 - \\frac { d p } { P _ { 0 } } \\right) + \\frac { 1 } { 2 } \\beta _ ... | 4 | NO | 1 |
expert | What is radiation damping? | The process by which synchrotron radiation emission causes a reduction in transverse and longitudinal emittances. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | $$ where $P _ { 0 }$ is the momentum of the reference particle. Since $\\vec { p }$ and $d \\vec { p }$ are collinear, the same relation can be written for the $y$ component of $\\vec { p }$ , $p _ { y }$ $$ p _ { y } ^ { \\prime } \\approx p _ { y } \\left( 1 - \\frac { d p } { P _ { 0 } } \\right) . $$ In order to an... | 4 | NO | 1 |
expert | What is radiation damping? | The process by which synchrotron radiation emission causes a reduction in transverse and longitudinal emittances. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | Why is the North Pole the preferred site for this experiment? What will be the circumference of this storage ring? Calculate the radiated power per electron! How would the situation change if we used protons with the same momentum? I.10.7.9 Permanent magnet undulators Which options exist to tune the photon energy of co... | 1 | NO | 0 |
expert | What is radiation damping? | The process by which synchrotron radiation emission causes a reduction in transverse and longitudinal emittances. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | $$ where $E _ { \\mathrm { n o m } }$ is the nominal beam energy and $$ C _ { \\gamma } = \\frac { e ^ { 2 } } { 3 \\varepsilon _ { 0 } ( m _ { e } c ^ { 2 } ) ^ { 4 } } . $$ We define the following integral as the second synchrotron radiation integral $$ I _ { 2 } : = \\oint \\frac { 1 } { \\rho ^ { 2 } } d s . $$ Fro... | 4 | NO | 1 |
expert | What is radiation damping? | The process by which synchrotron radiation emission causes a reduction in transverse and longitudinal emittances. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | ‚Äì The required magnetic field in the dipoles, ‚Äì The losses through synchrotron radiation per particle per turn. How would the situation change for electrons of the same energy? Calculate the required magnetic field in the dipoles, and the synchrotron losses! I.10.7.43 A particle accelerator on the Moon Imagine a pa... | 1 | NO | 0 |
expert | What is radiation damping? | The process by which synchrotron radiation emission causes a reduction in transverse and longitudinal emittances. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | applications in Section I.10.6. The total radiated power per particle, obtained by integrating over the spectrum, is $$ P _ { \\\\gamma } = \\\\frac { e ^ { 2 } c } { 6 \\\\pi \\\\varepsilon _ { 0 } } \\\\frac { \\\\beta ^ { 4 } \\\\gamma ^ { 4 } } { \\\\rho ^ { 2 } } . $$ The energy lost by a particle on a circular or... | 1 | NO | 0 |
expert | What is radiation damping? | The process by which synchrotron radiation emission causes a reduction in transverse and longitudinal emittances. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | The scattering amplitude $I _ { 0 }$ can be calculated from classic electromagnetism. For non-relativistic electrons, it is sufficient to consider the electric component of the incoming wave. The Thomson scattering cross section is equal to $$ \\sigma _ { T } = { \\frac { 8 \\pi } { 3 } } \\left( { \\frac { e ^ { 2 } }... | augmentation | NO | 0 |
expert | What is radiation damping? | The process by which synchrotron radiation emission causes a reduction in transverse and longitudinal emittances. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | File Name:Ischebeck_-_2024_-_I.10_‚Äî_Synchrotron_radiation.pdf Chapter I.10 Synchrotron radiation Rasmus Ischebeck Paul Scherrer Institut, Villigen, Switzerland Electrons circulating in a storage ring emit synchrotron radiation. The spectrum of this powerful radiation spans from the far infrared to the $\\boldsymbol {... | augmentation | NO | 0 |
expert | What is radiation damping? | The process by which synchrotron radiation emission causes a reduction in transverse and longitudinal emittances. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | $$ \\\\lambda _ { n } = \\\\frac { \\\\lambda _ { u } } { 2 n \\\\gamma ^ { 2 } } \\\\left( 1 + \\\\frac { K ^ { 2 } } { 2 } \\\\right) , $$ while we have destructive interference for even harmonics $n = 2 m , m \\\\in \\\\mathbb { N }$ . If we observe the radiation under a small angle $\\\\vartheta$ from the beam axis... | augmentation | NO | 0 |
expert | What is radiation damping? | The process by which synchrotron radiation emission causes a reduction in transverse and longitudinal emittances. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | $$ and $$ \\vec { A } ( \\vec { x } , t ) = \\frac { 1 } { 4 \\pi \\varepsilon _ { 0 } C ^ { 2 } } \\int d ^ { 3 } \\vec { x } ^ { \\prime } \\int d t ^ { \\prime } \\frac { \\vec { j } ( \\vec { x } ^ { \\prime } , t ) } { | \\vec { x } - \\vec { x } ^ { \\prime } | } \\delta \\left( t ^ { \\prime } + \\frac { \\vec {... | augmentation | NO | 0 |
expert | What is radiation damping? | The process by which synchrotron radiation emission causes a reduction in transverse and longitudinal emittances. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | ‚Äì Longitudinal gradient bends: these are dipole magnets whose magnetic field varies along their length. By providing a variable field strength along the bend, longitudinal gradient bends (LGBs) concentrate the highest magnetic field in the middle, where the dispersion reaches a minimum. This further reduces the horiz... | augmentation | NO | 0 |
expert | What is radiation damping? | The process by which synchrotron radiation emission causes a reduction in transverse and longitudinal emittances. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | $$ If the phase of the radiation wave advances by $\\pi$ between $A$ and $B$ , the electromagnetic field of the radiation adds coherently3. The light moves on a straight line $\\overline { { A B } }$ that is slightly shorter than the sinusoidal electron trajectory $\\widetilde { A B }$ $$ { \\frac { \\lambda } { 2 c } ... | augmentation | NO | 0 |
expert | What is radiation damping? | The process by which synchrotron radiation emission causes a reduction in transverse and longitudinal emittances. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | Synchrotron sources, with their intense and coherent X-ray beams, play a crucial role in both tomographic imaging and ptychography. They provide the necessary beam brightness and coherence, enabling the capture of high-resolution data and facilitating the reconstruction processes. I.10.7 Collection of exercises The sub... | augmentation | NO | 0 |
expert | What is radiation damping? | The process by which synchrotron radiation emission causes a reduction in transverse and longitudinal emittances. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | in matter? I.10.7.49 Diffraction A scientist wants to record a diffraction pattern of crystalline tungsten at a photon energy of $2 0 \\mathrm { k e V . }$ What is the optimum thickness of the crystal, that maximizes the intensity of the diffracted spot? Derive the formula for the intensity $I$ of the diffracted spot a... | augmentation | NO | 0 |
expert | What is radiation damping? | The process by which synchrotron radiation emission causes a reduction in transverse and longitudinal emittances. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | Two important aspects: ‚Äì The photon energy is proportional to the square of the energy of the electrons; ‚Äì The photon energy decreases with higher magnetic field.4 We are looking at spontaneous radiation, thus the total energy loss of the electrons is proportional to the distance travelled. Consequently, the total ... | augmentation | NO | 0 |
expert | What is radiation damping? | The process by which synchrotron radiation emission causes a reduction in transverse and longitudinal emittances. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | I.10.6.2 Spectroscopy Spectroscopic methods are used for investigating the electronic structure, chemical composition, and dynamic properties of matter. X-ray absorption spectroscopy (XAS) techniques, including X-ray absorption near edge structure (XANES), Extended X-ray Absorption Fine Structure (EXAFS) and Near Edge ... | augmentation | NO | 0 |
expert | What is radiation damping? | The process by which synchrotron radiation emission causes a reduction in transverse and longitudinal emittances. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | $$ where a dimensionless undulator parameter has been introduced, $$ K = \\frac { e B _ { 0 } } { m _ { e } c k _ { u } } . $$ The electron follows a sinusoidal trajectory $$ x ( z ) = - \\frac { K } { k _ { u } \\gamma \\beta _ { z } } \\sin ( k _ { u } z ) . $$ Synchrotron radiation is emitted by relativistic electro... | augmentation | NO | 0 |
expert | What is radiation damping? | The process by which synchrotron radiation emission causes a reduction in transverse and longitudinal emittances. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | $$ The critical angle is defined as $$ \\vartheta _ { c } = \\frac { 1 } { \\gamma } \\left( \\frac { \\omega _ { c } } { \\omega } \\right) ^ { 1 / 3 } . $$ Higher frequencies have a smaller critical angle. For frequencies much larger than the critical frequency, and for angles much larger than the critical angle, the... | augmentation | NO | 0 |
IPAC | What is synchrotron radiation? | Synchrotron radiation is electromagnetic radiation emitted by charged particles when they are accelerated radially, typically within a synchrotron or storage ring. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | $$ \\eta _ { s } = \\alpha _ { s } - 1 / \\gamma ^ { 2 } $$ where it is clear to see that if $\\eta _ { s } < 0$ , the particles that have higher momentum will have a higher revolution frequency, and if $\\eta _ { s } > 0$ the particles that have lower momentum will have a lower revolution frequency therefore at transi... | augmentation | NO | 0 |
expert | What is synchrotron radiation? | Synchrotron radiation is electromagnetic radiation emitted by charged particles when they are accelerated radially, typically within a synchrotron or storage ring. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | The term diffraction-limited refers to a system, typically in optics or imaging, where the resolution or image detail is primarily restricted by the fundamental diffraction of light rather than by imperfections or aberrations in the source, or in imaging components. In such a system, the performance reaches the theoret... | 2 | NO | 0 |
expert | What is synchrotron radiation? | Synchrotron radiation is electromagnetic radiation emitted by charged particles when they are accelerated radially, typically within a synchrotron or storage ring. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | $$ for any natural number $n$ . $$ A B = B C = { \\frac { d } { \\sin \\vartheta } } $$ and $$ \\ A C = { \\frac { 2 d } { \\tan \\vartheta } } , $$ from which follows $$ A C ^ { \\prime } = A C \\cos \\vartheta = { \\frac { 2 d } { \\tan \\vartheta } } \\cos \\vartheta = { \\frac { 2 d } { \\sin \\vartheta } } \\cos ^... | 1 | NO | 0 |
expert | What is synchrotron radiation? | Synchrotron radiation is electromagnetic radiation emitted by charged particles when they are accelerated radially, typically within a synchrotron or storage ring. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | ‚Äì The wavelength of radiation emitted on axis, ‚Äì The relative bandwidth, ‚Äì The photon flux (hint: if your calculator cannot evaluate Bessel functions, you may read the value of $Q _ { n } ( K )$ from the plot in the lecture), ‚Äì The electron beam size and divergence, ‚Äì The effective source size and divergence,... | 4 | NO | 1 |
expert | What is synchrotron radiation? | Synchrotron radiation is electromagnetic radiation emitted by charged particles when they are accelerated radially, typically within a synchrotron or storage ring. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | ‚Äì The required magnetic field in the dipoles, ‚Äì The losses through synchrotron radiation per particle per turn. How would the situation change for electrons of the same energy? Calculate the required magnetic field in the dipoles, and the synchrotron losses! I.10.7.43 A particle accelerator on the Moon Imagine a pa... | 1 | NO | 0 |
expert | What is synchrotron radiation? | Synchrotron radiation is electromagnetic radiation emitted by charged particles when they are accelerated radially, typically within a synchrotron or storage ring. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | ‚Äì Photoelectric absorption: absorption by electrons bound to atoms; ‚Äì Thomson scattering: elastic scattering, i.e. scattering without energy transfer between the X-ray and a free electron; ‚Äì Compton scattering: inelastic scattering, where energy is transferred from the X-ray photon to an electron. I.10.5.1 Intera... | augmentation | NO | 0 |
expert | What is synchrotron radiation? | Synchrotron radiation is electromagnetic radiation emitted by charged particles when they are accelerated radially, typically within a synchrotron or storage ring. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | ‚Äì Elastic scattering: in contrast to Thomson scattering, which occurs for free electrons, Rayleigh scattering describes the scattering on bound electrons, incorporating the quantum mechanical nature of the atoms; ‚Äì Inelastic scattering: while we looked at free electrons previously, Compton scattering can still occu... | augmentation | NO | 0 |
expert | What is synchrotron radiation? | Synchrotron radiation is electromagnetic radiation emitted by charged particles when they are accelerated radially, typically within a synchrotron or storage ring. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | How would you measure this radiation? I.10.7.27 Superconducting undulators What is the advantage of using undulators made with superconducting coils, in comparison to permanentmagnet arrays? What are drawbacks? I.10.7.28 In-vacuum undulators What are the advantages of using in-vacuum undulators? What are possible diffi... | augmentation | NO | 0 |
expert | What is synchrotron radiation? | Synchrotron radiation is electromagnetic radiation emitted by charged particles when they are accelerated radially, typically within a synchrotron or storage ring. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | ‚Äì What range can be reached with the fundamental photon energy? ‚Äì What brilliance can be reached at the fundamental photon energy? ‚Äì Is there a significant flux higher harmonics? I.10.7.20 Emittance and energy spread The equilibrium emittance of an electron bunch in a storage ring occurs when factors increasing $... | augmentation | NO | 0 |
expert | What is synchrotron radiation? | Synchrotron radiation is electromagnetic radiation emitted by charged particles when they are accelerated radially, typically within a synchrotron or storage ring. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | $$ When deriving the equations for the beam dynamics in the horizontal phase space, we need to consider: ‚Äì Change in momentum: the emission of radiation leads to a recoil of the electron. This change in momentum is the same that we considered in the vertical phase space; ‚Äì Dispersion: the emission of radiation resu... | augmentation | NO | 0 |
expert | What is synchrotron radiation? | Synchrotron radiation is electromagnetic radiation emitted by charged particles when they are accelerated radially, typically within a synchrotron or storage ring. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | Why is the North Pole the preferred site for this experiment? What will be the circumference of this storage ring? Calculate the radiated power per electron! How would the situation change if we used protons with the same momentum? I.10.7.9 Permanent magnet undulators Which options exist to tune the photon energy of co... | augmentation | NO | 0 |
expert | What is synchrotron radiation? | Synchrotron radiation is electromagnetic radiation emitted by charged particles when they are accelerated radially, typically within a synchrotron or storage ring. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | $$ which is Bragg‚Äôs law. Note that contrary to the diffraction on a two-dimensional surface, which is often considered fir visible light, $\\mathrm { \\Delta } \\mathrm { X }$ -rays diffract on a three-dimensional crystal lattice. In this case, not only the exit angle matters, but also the incoming angle must fulfill... | augmentation | NO | 0 |
expert | What is synchrotron radiation? | Synchrotron radiation is electromagnetic radiation emitted by charged particles when they are accelerated radially, typically within a synchrotron or storage ring. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | The natural energy spread $\\Delta E / E$ is given by $$ \\frac { \\Delta E } { E } = \\sqrt { \\frac { C _ { q } \\gamma ^ { 2 } } { 2 j _ { z } \\langle \\rho \\rangle } } , $$ where $\\langle \\rho \\rangle$ is the average radius of curvature in the storage ring. Finally, in the vertical phase space of accelerators,... | augmentation | NO | 0 |
expert | What is synchrotron radiation? | Synchrotron radiation is electromagnetic radiation emitted by charged particles when they are accelerated radially, typically within a synchrotron or storage ring. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | $$ with a horizontal damping time $$ \\tau _ { x } = \\frac { 2 } { j _ { x } } \\frac { E _ { 0 } } { U _ { 0 } } T _ { 0 } . $$ All effects related to the dispersion are summarized in the horizontal partition number $j _ { x }$ $$ j _ { x } = 1 - { \\frac { I _ { 4 } } { I _ { 2 } } } . $$ The second synchrotron radi... | augmentation | NO | 0 |
expert | What is synchrotron radiation? | Synchrotron radiation is electromagnetic radiation emitted by charged particles when they are accelerated radially, typically within a synchrotron or storage ring. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | $$ \\vec { B } ( 0 , 0 , z ) = \\vec { u } _ { y } B _ { 0 } \\sin ( k _ { u } z ) , $$ where $k _ { u } = 2 \\pi / \\lambda _ { u }$ with $\\lambda _ { u }$ the period of the magnetic field, $B _ { 0 }$ is the maximum field and $\\vec { u } _ { y }$ is the unit vector in $y$ direction. Due to the Maxwell equations, th... | augmentation | NO | 0 |
expert | What is synchrotron radiation? | Synchrotron radiation is electromagnetic radiation emitted by charged particles when they are accelerated radially, typically within a synchrotron or storage ring. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | $$ where $P _ { 0 }$ is the momentum of the reference particle. Since $\\vec { p }$ and $d \\vec { p }$ are collinear, the same relation can be written for the $y$ component of $\\vec { p }$ , $p _ { y }$ $$ p _ { y } ^ { \\prime } \\approx p _ { y } \\left( 1 - \\frac { d p } { P _ { 0 } } \\right) . $$ In order to an... | augmentation | NO | 0 |
expert | What is synchrotron radiation? | Synchrotron radiation is electromagnetic radiation emitted by charged particles when they are accelerated radially, typically within a synchrotron or storage ring. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | The scattering amplitude $I _ { 0 }$ can be calculated from classic electromagnetism. For non-relativistic electrons, it is sufficient to consider the electric component of the incoming wave. The Thomson scattering cross section is equal to $$ \\sigma _ { T } = { \\frac { 8 \\pi } { 3 } } \\left( { \\frac { e ^ { 2 } }... | augmentation | NO | 0 |
expert | What is synchrotron radiation? | Synchrotron radiation is electromagnetic radiation emitted by charged particles when they are accelerated radially, typically within a synchrotron or storage ring. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | $$ where $\\vartheta$ is the angle at which the photon is scattered. I.10.5.2 Scattering of $\\mathbf { X }$ -rays on atoms In the case of photon energies less than a few keV, the wavelength is longer than the size of the atom. The scattering is then coherent, i.e., the phases of the scattered waves from different part... | augmentation | NO | 0 |
IPAC | What is the Wideroe condition? | the synchronization of optical near fields to relativistic electrons | definition | Beam_Dynamics_in_Dielectric_Laser_Acceleration.pdf | $$ \\left\\{ \\begin{array} { l l } { \\nu ^ { B } } & { = \\gamma \\cdot G , } \\\\ { \\nu ^ { E } } & { = \\beta ^ { 2 } \\gamma \\cdot \\left( \\frac { 1 } { \\gamma ^ { 2 } - 1 } - G \\right) . } \\end{array} \\right. $$ The “frozen spin” condition, by requiring the spin-rotation relative to the momentum rotati... | augmentation | NO | 0 |
IPAC | What is the Wideroe condition? | the synchronization of optical near fields to relativistic electrons | definition | Beam_Dynamics_in_Dielectric_Laser_Acceleration.pdf | $$ The equation for $\\nu _ { 0 }$ follows from the requirement of the existence of a nonzero solution of equation (4): $$ d e t \\big \\{ \\widehat { D } ( k , \\nu _ { 0 } ) \\big \\} = 0 $$ The uniqueness of the solution of eq. (6) is provided by the additional initial conditions. In the presence of a highly conduct... | augmentation | NO | 0 |
IPAC | What is the Wideroe condition? | the synchronization of optical near fields to relativistic electrons | definition | Beam_Dynamics_in_Dielectric_Laser_Acceleration.pdf | $$ Intuitively, at very short time, we would expect the fields generated by a given particle to look like free-space radiation, allowing us to further break up $\\mathbf { E } _ { c }$ into $$ \\mathbf { E } _ { c } ( \\mathbf { r } , t ) = \\mathbf { E } _ { 0 } ( \\mathbf { r } , t ) + \\mathbf { E } _ { \\mathrm { q... | augmentation | NO | 0 |
IPAC | What is the Wideroe condition? | the synchronization of optical near fields to relativistic electrons | definition | Beam_Dynamics_in_Dielectric_Laser_Acceleration.pdf | File Name:SEXTUPOLE_MISALIGNMENT_AND_DEFECT_IDENTIFICATION_AND.pdf SEXTUPOLE MISALIGNMENT AND DEFECT IDENTIFICATION AND REMEDIATION IN IOTA ∗ J. N. Wieland †1, A. L. Romanov, Fermilab, Batavia IL, USA 1also at Michigan State University, East Lansing MI, USA Abstract The nonlinear integrable optics studies at the in... | augmentation | NO | 0 |
IPAC | What is the Wideroe condition? | the synchronization of optical near fields to relativistic electrons | definition | Beam_Dynamics_in_Dielectric_Laser_Acceleration.pdf | File Name:ARBITRARY_TRANSVERSE_AND_LONGITUDINAL_CORRELATION.pdf ARBITRARY TRANSVERSE AND LONGITUDINAL CORRELATIONGENERATION USING TRANSVERSE WIGGLER AND WAKEFIELDSTRUCTURES G. Ha‚Üí, Northern Illinois University, Dekalb, IL, USA Abstract Transverse wigglers and wakefield structures are promising candidates for impartin... | augmentation | NO | 0 |
expert | What is the Wideroe condition? | the synchronization of optical near fields to relativistic electrons | definition | Beam_Dynamics_in_Dielectric_Laser_Acceleration.pdf | 3 Alternating Phase Focusing DLA 3.1 Principle and Nanophotonic Structures The advantage of high gradient in DLA comes with the drawback of non-uniform driving optical nearfields across the beam channel. The electron beam, which usually fills the entire channel, is therefore defocused. The defocusing is resonant, i.e. ... | 2 | NO | 0 |
expert | What is the Wideroe condition? | the synchronization of optical near fields to relativistic electrons | definition | Beam_Dynamics_in_Dielectric_Laser_Acceleration.pdf | Efficient operation of the DLA undulator requires a design with optimized cell geometry to maximize the interaction of the electron beam with the laser field. Figure 11 shows simulation results for a parameter scan of the tilt angle $\\alpha$ and the fill factor $r _ { \\mathrm { f } }$ which is the tooth width divided... | 1 | NO | 0 |
expert | What is the Wideroe condition? | the synchronization of optical near fields to relativistic electrons | definition | Beam_Dynamics_in_Dielectric_Laser_Acceleration.pdf | $$ K _ { \\mathrm { z } } = a _ { \\mathrm { z } } { \\frac { k _ { \\mathrm { x } } } { k _ { \\mathrm { u } } } } = { \\frac { q } { m _ { 0 } c ^ { 2 } } } { \\frac { k _ { \\mathrm { z } } } { k k _ { \\mathrm { u } } } } \\left| e _ { 1 } \\left( \\alpha \\right) \\right| \\tan \\alpha \\ . $$ Figure $1 3 \\mathrm... | 5 | NO | 1 |
expert | What is the Wideroe condition? | the synchronization of optical near fields to relativistic electrons | definition | Beam_Dynamics_in_Dielectric_Laser_Acceleration.pdf | Key to the high gradients in DLA is the synchronization of optical near fields to relativistic electrons, expressed by the Wideroe condition $$ \\lambda _ { g } = m \\beta \\lambda $$ where $\\lambda _ { g }$ is the grating period, $\\lambda$ is the laser wavelength, and $\\beta = \\nu / c$ is the the electron velocity... | 5 | NO | 1 |
expert | What is the Wideroe condition? | the synchronization of optical near fields to relativistic electrons | definition | Beam_Dynamics_in_Dielectric_Laser_Acceleration.pdf | In fact, with a full control over amplitude and phase seen by the particles the question becomes how to best optimize the drive pulse. At this purpose, it is envisioned adopting machine learning algorithms to optimize the 2D mask which gets applied to the laser drive pulse by the liquid crystal modulator [48]. 5 DLA Un... | 4 | NO | 1 |
expert | What is the Wideroe condition? | the synchronization of optical near fields to relativistic electrons | definition | Beam_Dynamics_in_Dielectric_Laser_Acceleration.pdf | The spatial harmonic focusing scheme is much less efficient than APF, since most of the damage threshold limited laser power goes into focusing rather than into acceleration gradient. However, when equipped with a focusing scheme imprinted on the laser pulse by a liquid crystal phase mask, it can operate on a generic, ... | augmentation | NO | 0 |
expert | What is the Wideroe condition? | the synchronization of optical near fields to relativistic electrons | definition | Beam_Dynamics_in_Dielectric_Laser_Acceleration.pdf | 6 Conclusion For the study of beam dynamics in DLA, computer simulations will remain essential. With combined numerical and experimental approaches, the challenges of higher initial brightness and brightness preservation along the beamline can be tackled. The electron sources available from electron microscopy technolo... | augmentation | NO | 0 |
expert | What is the Wideroe condition? | the synchronization of optical near fields to relativistic electrons | definition | Beam_Dynamics_in_Dielectric_Laser_Acceleration.pdf | $$ The first term recovers the tracking equation of DLATrack6D (see ref. [9]). The correction terms contribute less than $1 \\%$ for the investigated structures. Figure 14 a) compares tracking results for the particle at the beam center of a synchronous and a non-synchronous DLA undulator. In the synchronous undulator ... | augmentation | NO | 0 |
expert | What is the Wideroe condition? | the synchronization of optical near fields to relativistic electrons | definition | Beam_Dynamics_in_Dielectric_Laser_Acceleration.pdf | $ { 0 . 4 \\mathrm { m m } }$ with a throughput of roughly $5 0 \\%$ . As shown in Fig. 4, multiple acceleration stages can be arranged on a single SOI chip. Each stage roughly doubles the energy and is characterized by the laser pulse front tilt angle, corresponding to an ’average’ beam velocity in the stage (See ... | augmentation | NO | 0 |
expert | What is the Wideroe condition? | the synchronization of optical near fields to relativistic electrons | definition | Beam_Dynamics_in_Dielectric_Laser_Acceleration.pdf | $$ \\mathbf { a } \\left( x , y , z , c t \\right) = a _ { \\mathrm { z } } \\cosh \\left( k _ { \\mathrm { y } } y \\right) \\sin \\left( k c t - k _ { \\mathrm { z } } z + k _ { \\mathrm { x } } x \\right) \\mathbf { e } _ { \\mathrm { z } } $$ with the reciprocal grating vectors of the tilted DLA cell $k _ { \\mathr... | augmentation | NO | 0 |
expert | What is the Wideroe condition? | the synchronization of optical near fields to relativistic electrons | definition | Beam_Dynamics_in_Dielectric_Laser_Acceleration.pdf | Looking towards applications of dielectric laser acceleration, electron diffraction and the generation of light with particular properties are the most catching items, besides the omnipresent goal of creating a TeV collider for elementary particle physics. As such we will look into DLA-type laser driven undulators, whi... | augmentation | NO | 0 |
expert | What is the Wideroe condition? | the synchronization of optical near fields to relativistic electrons | definition | Beam_Dynamics_in_Dielectric_Laser_Acceleration.pdf | Figure $1 4 \\mathrm { b }$ ) shows the width $\\sigma _ { \\mathrm { y } }$ for an electron beam passing the DLA undulator without particle losses. A transversal geometric emittance of $\\varepsilon _ { \\mathrm { y } } = 1 0 \\mathrm { p m }$ ensures $1 0 0 \\%$ transmission. The simulations use an electron beam with... | augmentation | NO | 0 |
expert | What is the Wideroe condition? | the synchronization of optical near fields to relativistic electrons | definition | Beam_Dynamics_in_Dielectric_Laser_Acceleration.pdf | Moving forward, there are possibilities of increasing the acceleration gradients in DC biased electron sources through the use of novel electrode materials and preparation [25, 27] to 20 to 70 $\\mathbf { k V / m m }$ or greater gradients. These higher gradients, combined with the local field enhancement at a nanotip e... | augmentation | NO | 0 |
expert | What is the Wideroe condition? | the synchronization of optical near fields to relativistic electrons | definition | Beam_Dynamics_in_Dielectric_Laser_Acceleration.pdf | Usually the laser pulses are impinging laterally on the structures, with the polarization in the direction of electron beam propagation. Short pulses thus allow interaction with the electron beam only over a short distance. This lack of length scalability can be overcome by pulse front tilt (PFT), which can be obtained... | augmentation | NO | 0 |
expert | What is the Wideroe condition? | the synchronization of optical near fields to relativistic electrons | definition | Beam_Dynamics_in_Dielectric_Laser_Acceleration.pdf | There have been two major approaches to producing injectors of sufficiently high brightness. The first approach uses a nanotip cold field or Schottky emitter in an electron microscope column that has been modified for laser access to the cathode [14, 21, 22]. One can then leverage the decades of development that have b... | augmentation | NO | 0 |
IPAC | What is the Robinson theorem? | The sum of the damping partition numbers equals 4. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | $$ \\begin{array} { r l } & { \\quad \\displaystyle \\int _ { - \\infty } ^ { t } \\mathrm { d } t ^ { \\prime } \\beta ( t ^ { \\prime } ) \\frac { \\partial ^ { 2 } } { \\partial \\phi ^ { 2 } } \\mathcal { S } ( \\phi ) } \\\\ & { = \\beta ( t ) \\frac { \\partial t ^ { \\prime } } { \\partial \\phi } | _ { t ^ { \... | augmentation | NO | 0 |
IPAC | What is the Robinson theorem? | The sum of the damping partition numbers equals 4. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | $$ From this equation we may either (i) find the elements $F _ { i , j }$ of column $j$ of matrix $\\mathbf { F }$ by performing the inverse $\\textbf { \\em z }$ -transform; or (ii) investigate the recursion as a function of $j$ and $p$ ; we do the latter. For example, when $M = 0$ (i.e. no lift) then $d _ { n + 1 } =... | augmentation | NO | 0 |
expert | What is the Robinson theorem? | The sum of the damping partition numbers equals 4. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | $$ where we have used the Twiss parameter identity $\\alpha _ { y } ^ { 2 } = \\beta _ { y } \\gamma _ { y }$ . The change in emittance is thus proportional to the emittance, with a proportionality factor $- d p / P _ { 0 }$ . We thus have an exponentially decreasing emittance (the factor 2 is by convention) $$ \\varep... | 1 | NO | 0 |
expert | What is the Robinson theorem? | The sum of the damping partition numbers equals 4. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | ‚Äì Fourtihogneneexrtartaiocnti:oFnr.oAmccthoerd2i0n1g0lsyonewiatrhdes.r tAhlseoskonuorwcne assizdeiffnraocrtitohneliamnitgeudlsatrorage rings (DLSsRpsr),etahde sewfearciel itoiepstifematiuzreds iagsn ifaicra natsl ytrhed urcaedihaotiriozno nitsa lceomnicttearnnce,di.ncreasing the coherent flux siVgenirfyi casnotloy.n ... | 1 | NO | 0 |
expert | What is the Robinson theorem? | The sum of the damping partition numbers equals 4. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | $$ Shifting our view to a broader perspective, we now consider the properties of the entire electron bunch. By definition, the emittance is given as the ensemble average of the action. The change in emittance follows thus from the change in action $$ \\begin{array} { r c l } { d \\varepsilon _ { y } } & { = } & { \\lan... | 1 | NO | 0 |
expert | What is the Robinson theorem? | The sum of the damping partition numbers equals 4. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | The natural energy spread $\\Delta E / E$ is given by $$ \\frac { \\Delta E } { E } = \\sqrt { \\frac { C _ { q } \\gamma ^ { 2 } } { 2 j _ { z } \\langle \\rho \\rangle } } , $$ where $\\langle \\rho \\rangle$ is the average radius of curvature in the storage ring. Finally, in the vertical phase space of accelerators,... | 1 | NO | 0 |
expert | What is the Robinson theorem? | The sum of the damping partition numbers equals 4. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | $$ Figure I.10.2 shows the development of the peak brilliance of $\\mathrm { \\Delta X }$ -ray sources during the last century. Scientists working in synchrotron radiation facilities have gotten accustomed to an extremely high flux, as well as an excellent stability of their X-ray source. The flux is controlled on the ... | 1 | NO | 0 |
IPAC | What is the Robinson theorem? | The sum of the damping partition numbers equals 4. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | $$ However, there is one remaining term that neither groups with any factor of $z$ or $\\delta$ on the right-hand side nor does it appear to fit into the form of the derivative on the left. In order to allow for this additional constraint on the system, we define a new function $\\mathcal { F }$ , such that $$ \\frac {... | 1 | NO | 0 |
expert | What is the Robinson theorem? | The sum of the damping partition numbers equals 4. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | ‚Äì Photoelectric absorption: absorption by electrons bound to atoms; ‚Äì Thomson scattering: elastic scattering, i.e. scattering without energy transfer between the X-ray and a free electron; ‚Äì Compton scattering: inelastic scattering, where energy is transferred from the X-ray photon to an electron. I.10.5.1 Intera... | augmentation | NO | 0 |
expert | What is the Robinson theorem? | The sum of the damping partition numbers equals 4. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | $$ where $J$ is the Bessel function of the first kind. As $K$ increases, the higher harmonics play a more signicificant role, but the fundamental harmonic always has the highest flux. I.10.3 Effects of the emission of radiation on beam dynamics In this section, we will delve deeper into the interplay between the radiat... | augmentation | NO | 0 |
expert | What is the Robinson theorem? | The sum of the damping partition numbers equals 4. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | ‚Äì The Lorentz factor $\\gamma$ , ‚Äì The magnetic field to bend the beam (assume for simplicity that the ring consists of a uniform dipole field), ‚Äì The critical energy of the synchrotron radiation, ‚Äì The energy emitted by each electron through synchrotron radiation in one turn. I.10.7.7 Future Circular Collider:... | augmentation | NO | 0 |
expert | What is the Robinson theorem? | The sum of the damping partition numbers equals 4. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | File Name:Ischebeck_-_2024_-_I.10_‚Äî_Synchrotron_radiation.pdf Chapter I.10 Synchrotron radiation Rasmus Ischebeck Paul Scherrer Institut, Villigen, Switzerland Electrons circulating in a storage ring emit synchrotron radiation. The spectrum of this powerful radiation spans from the far infrared to the $\\boldsymbol {... | augmentation | NO | 0 |
expert | What is the Robinson theorem? | The sum of the damping partition numbers equals 4. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | ring. We start with the radiation power $$ P _ { \\gamma } = \\frac { C _ { \\gamma } } { 2 \\pi } c \\frac { E ^ { 4 } } { \\rho ^ { 2 } } . $$ As the energy spread and the change in energy around one turn will be small, we can replace the particle energy $E$ by the nominal energy $E _ { \\mathrm { n o m } }$ . The em... | augmentation | NO | 0 |
expert | What is the Robinson theorem? | The sum of the damping partition numbers equals 4. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | ‚Äì Free electrons, ‚Äì Electrons bound to an atom, ‚Äì Crystals. The interaction of X-rays with matter is determined by the cross-section, which is itself proportional to the square of the so-called Thomson radius. The Thomson radius, in turn, is inversely proportional to the mass of the charged particle. Consequently... | augmentation | NO | 0 |
expert | What is the Robinson theorem? | The sum of the damping partition numbers equals 4. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | ‚Äì The required magnetic field in the dipoles, ‚Äì The losses through synchrotron radiation per particle per turn. How would the situation change for electrons of the same energy? Calculate the required magnetic field in the dipoles, and the synchrotron losses! I.10.7.43 A particle accelerator on the Moon Imagine a pa... | augmentation | NO | 0 |
expert | What is the Robinson theorem? | The sum of the damping partition numbers equals 4. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | $$ where $E _ { \\mathrm { n o m } }$ is the nominal beam energy and $$ C _ { \\gamma } = \\frac { e ^ { 2 } } { 3 \\varepsilon _ { 0 } ( m _ { e } c ^ { 2 } ) ^ { 4 } } . $$ We define the following integral as the second synchrotron radiation integral $$ I _ { 2 } : = \\oint \\frac { 1 } { \\rho ^ { 2 } } d s . $$ Fro... | augmentation | NO | 0 |
expert | What is the Robinson theorem? | The sum of the damping partition numbers equals 4. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | ‚Äì Elastic scattering: in contrast to Thomson scattering, which occurs for free electrons, Rayleigh scattering describes the scattering on bound electrons, incorporating the quantum mechanical nature of the atoms; ‚Äì Inelastic scattering: while we looked at free electrons previously, Compton scattering can still occu... | augmentation | NO | 0 |
expert | What is the Robinson theorem? | The sum of the damping partition numbers equals 4. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | The term diffraction-limited refers to a system, typically in optics or imaging, where the resolution or image detail is primarily restricted by the fundamental diffraction of light rather than by imperfections or aberrations in the source, or in imaging components. In such a system, the performance reaches the theoret... | augmentation | NO | 0 |
expert | What is the Robinson theorem? | The sum of the damping partition numbers equals 4. | Definition | Ischebeck_-_2024_-_I.10_—_Synchrotron_radiation | I.10.7.55 Practical applications of synchrotron radiation The Italian Light Source Elettra is a 3rd generation synchrotron source with $2 5 9 \\mathrm { m }$ circumference, and can operate at beam energies of either $2 . 0 \\mathrm { G e V }$ or $2 . 4 \\mathrm { G e V } ,$ with beam currents of $3 1 0 \\mathrm { m A }... | augmentation | NO | 0 |
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