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2020-02-22 | Aluminum Nitride Two-Dimensional-Resonant-Rods | In the last decades, Bulk-Acoustic-Wave (BAW) filters have been essential
components of 1G-to-4G radios. These devices rely on the high electromechanical
coupling coefficient (kt2~7%), attained by Aluminum Nitride (AlN)
Film-Bulk-Acoustic-Resonators (FBARs), to achieve a wideband and low-loss
frequency response. As the... | 2105.11232v1 |
2021-06-22 | Independently reconfigurable internal loss and resonance-shift in an interferometer-embedded optical cavity | Optical cavities find diverse uses in lasers, frequency combs, optomechanics,
and optical signal processors. Complete reconfigurability of the resonant
frequency as well as the loss enables development of generic field programmable
cavities for achieving the desired performance in these applications.
Conventional recon... | 2106.12899v3 |
2021-12-01 | Precision measurement of quasi-bound resonances in H$_2$ and the H + H scattering length | Quasi-bound resonances of H$_2$ are produced via two-photon photolysis of
H$_2$S molecules as reactive intermediates or transition states, and detected
before decay of the parent molecule into three separate atoms. As was
previously reported [K.F. Lai et al., Phys. Rev. Lett. 127, 183001 (2021)] four
centrifugally boun... | 2112.00817v1 |
2022-05-31 | Boosted second-harmonic generation in the LiNbO$\mathrm{_3}$ metasurface governed by high-Q guided resonances and bound states in the continuum | To date, second-harmonic generation (SHG) at nanoscale has been concentrated
on employing high-refractive-index nanostructures, owing to the strong field
confinement at deep subwavelength scales based on optically resonant effects.
However, low-index nanostructures generally exhibit weaker resonant effects and
lower fi... | 2205.15482v2 |
2022-10-11 | Theory of Truncation Resonances in Continuum Rod-based Phononic Crystals with Generally Asymmetric Unit Cells | Phononic crystals exhibit Bragg bandgaps, frequency regions within which wave
propagation is forbidden. In solid continua, bandgaps are the outcome of
destructive interferences resulting from periodically alternating layers. Under
certain conditions, natural frequencies emerge within these bandgaps in the
form of high-... | 2211.01423v3 |
2022-11-06 | Fano resonances in all-dielectric electromagnetic metasurfaces | We are interested in the resonant electromagnetic (EM) scattering by
all-dielectric metasurfaces made of a two-dimensional lattice of nanoparticles
with high refractive indices. In [Ammari et al., Trans. AMS, 376 (2023),
39-90], it has been shown that a single high-index nanoresonator can couple
with the incident wave ... | 2211.03224v3 |
2023-05-17 | Do different kinds of photon-pair sources have the same indistinguishability in quantum silicon photonics? | In the same silicon photonic integrated circuit, we compare two types of
integrated degenerate photon-pair sources (microring resonators or waveguides)
by means of Hong-Ou-Mandel (HOM) interference experiments. Two nominally
identical microring resonators are coupled to two nominally identical
waveguides which form the... | 2305.10066v2 |
2023-06-14 | Fano resonances for tilted linear and quadratic band touching dispersions in a harmonically driven potential well | Considering models with tilted linear and quadratic band touching
dispersions, we analyze the effect of the transverse linear tilt on the
transmission spectra through a harmonically driven potential well oriented
longitudinally. Employing the Floquet scattering matrix formalism, we find Fano
resonances as an outcome of... | 2306.08759v2 |
2024-02-23 | Variation in whispering gallery mode of resonance in a trapped and levitated liquid micro cavity | Whispering gallery mode (WGM) of resonance occurs when a traveling wave faces
grazing reflection and confinement at the inner surface of a spherical cavity.
Such a resonance was observed with micrometer sized liquid droplet and with
light of sub-micron wavelength. The resonance occurs when specific boundary
conditions ... | 2402.15291v1 |
2005-02-11 | A Weakly Nonlinear Analysis of Impulsively-Forced Faraday Waves | Parametrically-excited surface waves, forced by a periodic sequence of
delta-function impulses, are considered within the framework of the
Zhang-Vi\~nals model (J. Fluid Mech. 1997). The exact impulsive-forcing
results, in the linear and weakly nonlinear regimes, are compared with
numerical results for sinusoidal and m... | 0502025v1 |
2005-01-04 | Wakes in Dark Matter Halos | I discuss the dynamical interaction of galactic disks with the surrounding
dark matter halos. In particular it is demonstrated that if the
self-gravitating shearing sheet, a model of a patch of a galactic disk, is
embedded in a live dark halo, this has a strong effect on the dynamics of
density waves in the sheet. I de... | 0501050v1 |
2006-08-10 | Charge modulations vs. strain waves in resonant x-ray scattering | A method is described for using resonant x-ray scattering to separately
quantify the charge (valence) modulation and the strain wave associated with a
charge density wave. The essence of the method is a separation of the atomic
form factor into a "raw" amplitude, fR(w), and a valence-dependent amplitude,
fD(w), which i... | 0608236v1 |
2007-03-12 | First Cross-Correlation Analysis of Interferometric and Resonant-Bar Gravitational-Wave Data for Stochastic Backgrounds | Data from the LIGO Livingston interferometer and the ALLEGRO resonant bar
detector, taken during LIGO's fourth science run, were examined for
cross-correlations indicative of a stochastic gravitational-wave background in
the frequency range 850-950 Hz, with most of the sensitivity arising between
905 Hz and 925 Hz. ALL... | 0703068v1 |
2007-02-25 | Chaotic Scattering and the $n$-bounce Resonance in Solitary Wave Interactions | We present a new and complete analysis of the n-bounce resonance and chaotic
scattering in solitary wave collisions. In these phenomena, the speed at which
a wave exits a collision depends in a complicated fractal way on its input
speed. We present a new asymptotic analysis of collective-coordinate ODEs,
reduced models... | 0702048v1 |
2005-09-26 | Role of low-$l$ component in deformed wave functions near the continuum threshold | The structure of deformed single-particle wave functions in the vicinity of
zero energy limit is studied using a schematic model with a quadrupole deformed
finite square-well potential. For this purpose, we expand the single-particle
wave functions in multipoles and seek for the bound state and the Gamow
resonance solu... | 0509068v1 |
1998-07-15 | Beam Instabilities in Magnetized Pair Plasma | Beam instabilities in the strongly magnetized electron-positron plasma of
pulsar magnetospheres are considered. We analyze the resonance conditions and
estimate the growth rates of the Cherenkov and cyclotron instabilities of the
ordinary (O), extraordinary (X) and Alfv\'{e}n modes in two limiting regimes:
kinetic and ... | 9807022v1 |
2000-11-15 | Theory of self phase-locked optical parametric oscillators | The plane-wave dynamics of 3*omega => (2*omega, omega) subharmonic optical
parametric oscillators containing a second harmonic generator of the idler wave
omega is analyzed analytically by using the meanfield approximation and
numerically by taking into account the field propagation inside the media. The
resonant Chi(2... | 0011034v1 |
2001-11-07 | Polarisation Patterns and Vectorial Defects in Type II Optical Parametric Oscillators | Previous studies of lasers and nonlinear resonators have revealed that the
polarisation degree of freedom allows for the formation of polarisation
patterns and novel localized structures, such as vectorial defects. Type II
optical parametric oscillators are characterised by the fact that the
down-converted beams are em... | 0111023v1 |
2001-11-09 | Readout and Control of a Power-recycled Interferometric Gravitational-wave Antenna | Interferometric gravitational wave antennas are based on Michelson
interferometers whose sensitivity to small differential length changes has been
enhanced by adding multiple coupled optical resonators. The use of optical
cavities is essential for reaching the required sensitivity, but sets
challenges for the control s... | 0111047v1 |
2005-10-15 | On de Broglie's soliton wave function of many particles with finite masses, energies and momenta | We consider a mass-less manifestly covariant {\it linear} Schr\"odinger
equation. First, we show that it possesses a class of non-dispersive soliton
solution with finite-size spatio-temporal support inside which the quantum
amplitude satisfies the Klein-Gordon equation with finite {\it emergent} mass.
We then proceed t... | 0510117v3 |
2006-05-17 | A quasi-Hermitian pseudopotential for higher partial wave scattering | We formulate a new quasi-Hermitian delta-shell pseudopotential for higher
partial wave scattering, and show that any such potential must have an
energy-dependent regularization. The quasi-Hermiticity of the Hamiltonian leads
to a complete set of biorthogonal wave functions that can be used as a basis to
expand and diag... | 0605147v3 |
2007-06-06 | Nonlocal Phenomenology for anisotropic MHD turbulence | A non-local cascade model for anisotropic MHD turbulence in the presence of a
guiding magnetic field is proposed. The model takes into account that (a)
energy cascades in an anisotropic manner and as a result a different estimate
for the cascade rate in the direction parallel and perpendicular to the guiding
field is m... | 0706.0816v1 |
2007-09-06 | Amplification of compressional MHD waves in systems with forced entropy oscillations | The propagation of compressional MHD waves is studied for an externally
driven system. It is assumed that the combined action of the external sources
and sinks of the entropy results in the harmonic oscillation of the entropy
(and temperature) in the system. It is found that with the appropriate resonant
conditions fas... | 0709.0846v1 |
2007-11-18 | Gamma Standing Wave in the Photonic Crystal of Resonant Rh Nuclei | In a previous report, we have shown that the rhodium lattice consisting of
resonant nuclei is an ideal photonic crystal in nature. Plenty of extraordinary
observations are attributed to the collective down conversion of the multipolar
nuclear transition; in particular the spontaneous open up of photonic band gap.
Emiss... | 0711.2776v1 |
2008-01-18 | Modélisation de la propagation dans une structure fermée surdimensionnée | The propagation of an electromagnetic wave in closed structures led to
numerous applications ranging from the characterization of materials in
resonating cavities to the measurements using pregnant reverberant EMF. We
created models to study the existence of electromagnetic waves in large closed
structures. There are t... | 0801.2853v1 |
2008-05-06 | Events trigger generator for resonant spherical detectors of gravitational waves | We have set up and tested a pipeline for processing the data from a spherical
gravitational wave detector with six transducers. The algorithm exploits the
multichannel capability of the system and provides a list of candidate events
with their arrival direction. The analysis starts with the conversion of the
six detect... | 0805.0718v2 |
2008-08-14 | Resonant nonlinear optics of backward waves in negative-index metamaterials | The extraordinary properties of resonant four-wave mixing of backward waves
in doped negative-index materials are investigated. The feasibility of
independent engineering of negative refractive index and nonlinear optical
response as well as quantum control of the nonlinear propagation process in
such composites is sho... | 0808.2038v1 |
2008-09-19 | Dynamics of Asymptotically Hyperbolic Manifolds | We prove a dynamical wave trace formula for asymptotically hyperbolic (n+1)
dimensional manifolds with negative (but not necessarily constant) sectional
curvatures which equates the renormalized wave trace to the lengths of closed
geodesics. A corollary of this dynamical trace formula is a dynamical
resonance-wave trac... | 0809.3472v2 |
2008-12-28 | Propagation of extremely short electromagnetic pulses in a doubly-resonant medium | Propagation of extremely short electromagnetic pulses in a homogeneous
doubly-resonant medium is considered in the framework of the total
Maxwell-Duffing-Lorentz model, where the Duffing oscillators (anharmonic
oscillators with cubic nonlinearities) represent the dielectric response of the
medium, and the Lorentz harmo... | 0812.4794v1 |
2009-01-31 | Formation of a Direct Kolmogorov-like Cascade of Second Sound Waves in He II | Based on measurements of nonlinear second sound resonances in a high-quality
resonator, we have observed a steady-state wave energy cascade in He II
involving a flux of energy through the spectral range towards high frequencies.
We show that the energy balance in the wave system is nonlocal in K-space and
that the freq... | 0902.0029v1 |
2009-11-23 | Couplings in coupled channels versus wave functions: application to the X(3872) resonance | We perform an analytical study of the scattering matrix and bound states in
problems with many physical coupled channels. We establish the relationship of
the couplings of the states to the different channels, obtained from the
residues of the scattering matrix at the poles, with the wave functions for the
different ch... | 0911.4407v2 |
2010-01-28 | Response and Amplification of Terahertz Electromagnetic Waves in Intrinsic Josephson Junctions of Layered High-Tc Superconductor | We investigate the response of a stack of intrinsic Josephson junctions
(IJJs) to terahertz (THz) electromagnetic (EM) irradiation. A significant
amplification of the EM wave can be achieved by the IJJs stack when the
incident frequency equals to one of the cavity frequencies. The irradiation
excites pi phase kinks in ... | 1001.5119v2 |
2010-05-14 | Amplification of Acoustic Wave in GaN in the Presence of Slowly Changing Periodic Electric Field | Acoustic wave propagation in bulk GaN Semiconductor in the presence of a
slowly changing a.c electric field and a constant electric field has been
studied. Analytical expression for the attenuation (amplification) coefficient
has been obtained. It is shown that the a.c electric field is acting as a
modulator and that t... | 1005.2574v1 |
2012-01-19 | Wave Leakage and Resonant Absorption in a Loop Embedded in a Coronal Arcade | We investigate the temporal evolution of impulsively generated perturbations
in a potential coronal arcade with an embedded loop. As the initial
configuration we consider a coronal loop, represented by a density enhancement,
which is unbounded in the ignorable direction of the arcade. The linearized
time-dependent magn... | 1201.4042v1 |
2012-10-01 | Air-coupled thickness measurements of stainless steel | A method of measuring the thickness of steel plates using through
transmission of an acoustic pulse is demonstrated. This study has been done on
a stainless steel plate with regions of thickness 10:0 mm, 9:8 mm, and 9:6 mm,
using broadband pulses with energy in 200 kHz to 600 kHz band. Ultimately the
goal is to perform... | 1210.0428v1 |
2012-10-09 | N-order bright and dark rogue waves in a Resonant erbium-doped Fibre system | The rogue waves in a resonant erbium-doped fibre system governed by a coupled
system of the nonlinear Schr\"odinger equation and the Maxwell-Bloch equation
(NLS-MB equations) are given explicitly by a Taylor series expansion about the
breather solutions of the normalized slowly varying amplitude of the complex
field en... | 1210.2522v2 |
2014-05-14 | Simultaneous Resonant Excitation of Low-frequency Eccentric Wave and Tilt Wave on Tidally Deformed Disks | Simultaneous excitation of low-frequency eccentric precessing mode (one-armed
p-mode) and tilt mode on tidally deformed disks is considered. If the orbit of
the secondary star is eccentric and its orbital plane is misaligned with the
disk plane of the primary, the above-mentioned two low-frequency oscillation
modes are... | 1405.3372v1 |
2014-07-28 | Biharmonic Split Ring Resonator Metamaterial: Artificially dispersive effective density in thin periodically perforated plates | We present in this paper a theoretical and numerical analysis of bending
waves localized on the boundary of a platonic crystal whose building blocks are
split ring resonators (SRR). We first derive the homogenized parameters of the
structured plate using a three-scale asymptotic expansion in the linearized
biharmonic e... | 1408.0004v1 |
2014-12-10 | Wave-particle interactions with parallel whistler waves: nonlinear and time-dependent effects revealed by Particle-in-Cell simulations | We present a self-consistent Particle-in-Cell simulation of the resonant
interactions between anisotropic energetic electrons and a population of
whistler waves, with parameters relevant to the Earths radiation belt. By
tracking PIC particles, and comparing with test-particle simulations we
emphasize the importance of ... | 1412.3229v2 |
2015-02-11 | Resonance expansions for tensor-valued waves on asymptotically Kerr-de Sitter spaces | In recent joint work with Vasy, we analyze the low energy behavior of
differential form-valued waves on black hole spacetimes. In order to deduce
asymptotics and decay from this, one in addition needs high energy estimates
for the wave operator acting on sections of the form bundle. The present paper
provides these on ... | 1502.03183v2 |
2015-07-01 | Modulating carrier and sideband coupling strengths in a standing wave gate beam | We control the relative coupling strength of carrier and first order motional
sideband interactions of a trapped ion by placing it in a resonant optical
standing wave. Our configuration uses the surface of a microfabricated chip
trap as a mirror, avoiding technical challenges of in-vacuum optical cavities.
Displacing t... | 1507.00381v2 |
2015-10-02 | Quantum-beat Auger spectroscopy | The concept of nonlinear quantum-beat pump-probe Auger spectroscopy is
introduced by discussing a relatively simple four-level model system. We
consider a coherent wave packet involving two low-lying states that was
prepared by an appropriate pump pulse. This wave packet is subsequently probed
by a weak, time-delayed p... | 1510.00601v1 |
2016-06-21 | On the $L^p$ boundedness of wave operators for four-dimensional Schrödinger Operators with a threshold eigenvalue | Let $H=-\Delta+V$ be a Schr\"odinger operator on $L^2(\mathbb R^4)$ with
real-valued potential $V$, and let $H_0=-\Delta$. If $V$ has sufficient
pointwise decay, the wave operators $W_{\pm}=s-\lim_{t\to \pm\infty}
e^{itH}e^{-itH_0}$ are known to be bounded on $L^p(\mathbb R^4)$ for all $1\leq
p\leq \infty$ if zero is n... | 1606.06691v2 |
2016-07-27 | Irreversible Evolution of a Wave Packet in The Rigged Hilbert Space Quantum Mechanics | It is well known that a state with complex energy cannot be the eigenstate of
a self-adjoint operator, like the Hamiltonian. Resonances, i.e. states with
exponentially decaying observables, are not vectors belonging to the
conventional Hilbert space. One can describe these resonances in an unusual
mathematical formalis... | 1607.08109v2 |
2017-12-14 | Stealth technology-based Terahertz frequency-domain ellipsometry instrumentation | We present a terahertz (THz) frequency-domain spectroscopic (FDS)
ellipsometer design which suppresses formation of standing waves by use of
stealth technology approaches. The strategy to suppress standing waves consists
of three elements \textit{geometry}, \textit{coating} and \textit{modulation}.
The instrument is ba... | 1712.05283v1 |
2018-05-07 | Bifurcation structure of periodic patterns in the Lugiato-Lefever equation with anomalous dispersion | We study the stability and bifurcation structure of spatially extended
patterns arising in nonlin- ear optical resonators with a Kerr-type
nonlinearity and anomalous group velocity dispersion, as described by the
Lugiato-Lefever equation. While there exists a one-parameter family of patterns
with different wavelengths,... | 1805.02555v1 |
2019-11-18 | Ultra-Efficient Conversion of Microwave into Ultrasound Wave through a Split Ring Resonator | Thermo-elastic conversion of electromagnetic wave into ultrasound wave has
enabled diverse biomedical applications such as photoacoustic imaging.
Microwave, which has ~10 cm long wavelength, can penetrate deeper into tissue
than photons, heralding exciting applications such as deep tissue imaging via
thermo-acoustic to... | 1911.07887v1 |
2014-06-06 | Damping of quasiparticles in a Bose-Einstein condensate coupled to an optical cavity | We present a general theory for calculating the damping rate of elementary
density wave excitations in a Bose-Einstein condensate strongly coupled to a
single radiation field mode of an optical cavity. Thereby we give a detailed
derivation of the huge resonant enhancement in the Beliaev damping of a density
wave mode, ... | 1406.1669v1 |
2020-04-28 | Acoustomagnetoelectric effect in two-dimensional materials: Geometric resonances and Weiss oscillations | We study electron transport in two-dimensional materials with parabolic and
linear (graphene) dispersions of the carriers in the presence of surface
acoustic waves and an external magnetic field using semiclassical Boltzmann
equations approach. We observe an oscillatory behavior of both the longitudinal
and Hall electr... | 2004.13275v1 |
2016-03-07 | Ripplon Laser | Energy exchange between light and sound was first suggested by Brillouin in
1922. After Townes established the phonon maser theory, coherent generation of
intense hypersonic waves was observed together with stimulated Brillouin
Scattering. Here we repeat these experiments, but with capillary-waves that are
unique to th... | 1603.02218v2 |
2016-03-23 | Correlations of $\boldsymbol{πN}$ Partial Waves for Multi-Reaction Analyses | In the search for missing baryonic resonances, many analyses include data
from a variety of pion- and photon-induced reactions. For elastic $\pi N$
scattering, however, usually the partial waves of the SAID or other groups are
fitted, instead of data. We provide the partial-wave covariance matrices needed
to perform co... | 1603.07265v3 |
2016-12-13 | An estimate of Alpha decay half-life from the poles of S-matrix of an exactly solvable potential | We develop a versatile and analytically solvable potential which fairly
reproduces the combined potential of an $\alpha+$nucleus system resulting from
both the attractive nuclear and repulsive electrostatic potentials. The
potential is expressed in terms of the radial position, mass and proton number
of the $\alpha$-pa... | 1612.04135v1 |
2017-02-09 | Dynamics of the localized nonlinear waves in spin-1 Bose-Einstein condensates with time-space modulation | We investigate the dynamics of the localized nonlinear matter wave in spin-1
Bose-Einstein condensates with trapping potentials and nonlinearities dependent
on time and space. We solve the three coupled Gross-Pitaevskii equation by
similarity transformation and obtain two families of exact matter wave
solutions in term... | 1702.04628v1 |
2005-10-28 | Negative-coupling resonances in pump-coupled lasers | We consider coupled lasers, where the intensity deviations from the steady
state, modulate the pump of the other lasers. Most of our results are for two
lasers where the coupling constants are of opposite sign. This leads to a Hopf
bifurcation to periodic output for weak coupling. As the magnitude of the
coupling const... | 0510072v1 |
2024-04-09 | Dynamics of large oscillator populations with random interactions | We explore large populations of phase oscillators interacting via random
coupling functions. Two types of coupling terms, the Kuramoto-Daido coupling
and the Winfree coupling, are considered. Under the assumption of statistical
independence of the phases and the couplings, we derive reduced averaged
equations with effe... | 2404.06193v1 |
2022-06-12 | Occasional coupling enhances amplitude death in delay-coupled oscillators | This paper aims to study amplitude death in time delay coupled oscillators
using the occasional coupling scheme that implies the intermittent interaction
among the oscillators. An enhancement of amplitude death regions (i.e., an
increment of the width of the amplitude death regions along the control
parameter axis) can... | 2206.05774v2 |
2017-10-27 | A note on faithful coupling of Markov chains | One often needs to turn a coupling $(X_i, Y_i)_{i\geq 0}$ of a Markov chain
into a sticky coupling where once $X_T = Y_T$ at some $T$, then from then on,
at each subsequent time step $T'\geq T$, we shall have $X_{T'} = Y_{T'}$.
However, not all of what are considered couplings in literature, even Markovian
couplings, c... | 1710.10026v1 |
2020-07-01 | Coupling Learning of Complex Interactions | Complex applications such as big data analytics involve different forms of
coupling relationships that reflect interactions between factors related to
technical, business (domain-specific) and environmental (including
socio-cultural and economic) aspects. There are diverse forms of couplings
embedded in poor-structured... | 2007.13534v1 |
2022-01-24 | The Coupled Rejection Sampler | We propose a coupled rejection-sampling method for sampling from couplings of
arbitrary distributions. The method relies on accepting or rejecting coupled
samples coming from dominating marginals. Contrary to existing
acceptance-rejection coupling methods, the variance of the execution time of
the proposed method is li... | 2201.09585v2 |
2001-10-19 | Spectral Properties and Synchronization in Coupled Map Lattices | Spectral properties of Coupled Map Lattices are described. Conditions for the
stability of spatially homogeneous chaotic solutions are derived using linear
stability analysis. Global stability analysis results are also presented. The
analytical results are supplemented with numerical examples. The quadratic map
is used... | 0110037v1 |
2004-07-07 | Stabilization of causally and non-causally coupled map lattices | Two-dimensional coupled map lattices have global stability properties that
depend on the coupling between individual maps and their neighborhood. The
action of the neighborhood on individual maps can be implemented in terms of
"causal" coupling (to spatially distant past states) or "non-causal" coupling
(to spatially d... | 0407011v1 |
2011-10-03 | Solutions of Several Coupled Discrete Models in terms of Lame Polynomials of Order One and Two | Coupled discrete models abound in several areas of physics. Here we provide
an extensive set of exact quasiperiodic solutions of a number of coupled
discrete models in terms of Lame polynomials of order one and two. Some of the
models discussed are (i) coupled Salerno model, (ii) coupled Ablowitz-Ladik
model, (iii) cou... | 1110.0540v1 |
2017-10-26 | Markovian Maximal Coupling of Markov Processes | Markovian maximal couplings of Markov processes are characterized by an
equality of total variation and a distance of Wasserstein type. If a Markovian
maximal coupling is a Feller process, the generator can be calculated, e.g. for
reflection coupled Brownian motion. Apart from processes with continuous paths
also jump ... | 1710.09654v1 |
2017-11-11 | Completion of the integrable coupling systems | In this paper, we proposed an procedure to construct the completion of the
integrable system by adding a perturbation to the generalized matrix problem,
which can be used to continuous integrable couplings, discrete integrable
couplings and super integrable couplings. As example, we construct the
completion of the Kaup... | 1711.04073v1 |
2014-10-17 | A definition of the coupled-product for multivariate coupled-exponentials | The coupled-product and coupled-exponential of the generalized calculus of
nonextensive statistical mechanics are defined for multivariate functions. The
nonlinear statistical coupling is indexed such that k_d = k/(1+dk), where d is
the dimensions of the argument of the multivariate coupled-exponential. The
coupled-Gau... | 1410.4727v3 |
2022-01-10 | Character of couple and couple-stress in continuum mechanics | In this paper, the concept of moment and couple in mechanics is examined from
a fundamental perspective. It turns out that although representing a couple by
its moment vector is very useful in rigid body mechanics and strength of
materials, it has been very misleading in continuum mechanics. To specify the
effect of a ... | 2202.02152v1 |
2006-07-13 | Generalized Synchronization in Ginzburg-Landau Equations with Local Coupling | The establishment of generalized chaotic synchronization in Ginzburg-Landau
equations unidirectionally coupled at discrete points of space (local coupling)
has been studied. It is shown that generalized syn-chronization regimes are
also established with this type of coupling, but the necessary intensity of
coupling iss... | 0607024v1 |
2008-03-17 | Partially Locked States in Coupled Oscillators due to Inhomogeneous Coupling | We investigate coupled identical phase oscillators with scale-free
distribution of coupling strength. It is shown that partially locked states can
occur due to the inhomogeneity in coupling and some properties of the coupling
function. Various quantities of the partially locked states are computed
through a self-consis... | 0803.2426v2 |
2022-02-01 | Approximate boundary synchronization by groups for a coupled system of wave equations with coupled Robin boundary conditions | In this paper, we first give an algebraic characterization of uniqueness of
continuation for a coupled system of wave equations with coupled Robin boundary
conditions. Then, the approximate boundary controllability and the approximate
boundary synchronization by groups for a coupled system of wave equations with
couple... | 2202.00746v1 |
2017-03-23 | Dimensional-invariance principles in coupled dynamical systems-- A unified analysis and applications | In this paper we study coupled dynamical systems and investigate dimension
properties of the subspace spanned by solutions of each individual system.
Relevant problems on \textit{collinear dynamical systems} and their variations
are discussed recently by Montenbruck et. al. in \cite{collinear2017SCL}, while
in this pap... | 1703.07955v2 |
2021-02-20 | Multi-Phase Locking Value: A Generalized Method for Determining Instantaneous Multi-frequency Phase Coupling | Many physical, biological and neural systems behave as coupled oscillators,
with characteristic phase coupling across different frequencies. Methods such
as $n:m$ phase locking value and bi-phase locking value have previously been
proposed to quantify phase coupling between two resonant frequencies (e.g. $f$,
$2f/3$) a... | 2102.10471v2 |
2021-10-21 | Array Element Coupling in Radio Interferometry I: A Semi-Analytic Approach | We derive a general formalism for interferometric visibilities, which
considers first-order antenna-antenna coupling and assumes steady-state,
incident radiation. We simulate such coupling features for non-polarized skies
on a compact, redundantly-spaced array and present a phenomenological analysis
of the coupling fea... | 2110.10879v2 |
2020-07-27 | A critical quartet for queuing couples | We enumerate arrangements of $n$ couples, i.e. pairs of people, placed in a
single-file queue, and consider four statistics from the vantage point of a
distinguished given couple. In how many arrangements are exactly $p$ of the
$n-1$ other couples i) interlaced with the given couple, ii) contained within
them, iii) con... | 2007.13868v2 |
2002-01-27 | Self-organized and driven phase synchronization in coupled map scale free networks | As a model of evolving networks, we study coupled logistic maps on scale free
networks. For small coupling strengths nodes show turbulent behavior but form
phase synchronized clusters as coupling increases. We identify two different
ways of cluster formation. For small coupling strengths we get {\it
self-organized clus... | 0201051v1 |
2013-02-21 | Stochastic coupling in two modes systems: the weak-strong coupling transition | We investigate the weak-strong coupling transition of two linearly coupled
systems under the influence of a phase fluctuating coupling. In the weak
coupling regime the exponential decay of quantum properties is well known. A
different scenario occurs in the strong coupling regime, the inhibition of the
dynamics which t... | 1302.5385v1 |
2015-04-18 | Strongly coupled quantum heat machines | Quantum heat machines (QHMs) models generally assume a weak coupling to the
baths. This supposition is grounded in the separability principle between
systems and allows the derivation of the evolution equation for this case. In
the weak coupling regime, the machine's output is limited by the coupling
strength, restrict... | 1504.04744v1 |
2017-06-12 | Tunable coupling-induced resonance splitting in self-coupled Silicon ring cavity with robust spectral characteristics | We propose and demonstrate a self-coupled microring resonator for resonance
splitting by mutual mode coupling of cavity mode and counter-propagating mode
in Silicon-on-Insulator platform The resonator is constructed with a
self-coupling region that can excite counter-propagating mode. We
experimentally study the effect... | 1706.03810v1 |
2018-03-05 | Coupling tunable D-band directional coupler for millimeter-wave applications | A coupling tunable D-band directional coupler is designed based on a novel
coupling grid structure proposed in this letter. The designed directional
coupler has excellent performance with ultra-wideband. The coupling can be
tuned from -28.2 dB to -33.2 dB at 140 GHz by changing the angle of the
coupling grid, and the d... | 1803.03668v1 |
2018-12-10 | Collective dynamics of evanescently coupled excitable lasers with saturable absorber | We present a numerical study of the collective dynamics in a population of
coupled excitable lasers with saturable absorber. At variance with previous
studies where real-valued (lossy) coupling was considered, we focus here on the
purely imaginary coupling (evanescent wave coupling). We show that evanescently
coupled e... | 1812.03691v1 |
2021-08-19 | Observation of mode-mixing in the eigenmodes of an optical microcavity | We present a method to determine the complex coupling parameter of a
two-coupled-modes system by directly measuring the coupled eigenmodes rather
than their eigenvalues. This method is useful because mode-mixing can be
observed even if frequency shifts can not be measured. It also allows to
determine the complex coupli... | 2108.08764v1 |
2023-05-23 | Paradox with Phase-Coupled Interferometers | A pair of interferometers can be coupled by allowing one path from each to
overlap such that if the particles meet in this overlap region, they
annihilate. It was shown by one of us over thirty years ago that such
annihilation-coupled interferometers can exhibit apparently paradoxical
behaviour. More recently, Bose et ... | 2305.14241v2 |
2012-12-07 | Coupling, local times, immersions | This paper answers a question of \'{E}mery [In S\'{e}minaire de
Probabilit\'{e}s XLII (2009) 383-396 Springer] by constructing an explicit
coupling of two copies of the Bene\v{s} et al. [In Applied Stochastic Analysis
(1991) 121-156 Gordon & Breach] diffusion (BKR diffusion), neither of which
starts at the origin, and ... | 1212.1670v4 |
1998-10-23 | Negative Josephson coupling in the Kondo strong coupling limit | We Show that pair hopping through a Kondo singlet give rise to a negative
Josephson coupling. Thus, our calculation supports the existance of staggered
pair correlations in the strong coupling limit of a one dimensional Kondo
lattice. | 9810321v1 |
2016-08-04 | On maximal agreement couplings | We call a coupling of two stochastic processes which maximizes the time until
the first disagreement a maximal agreement coupling. We show that such a
coupling always exists. Furthermore, it is possible to construct a lower bound
on the disagreement time which is independent of one of the two processes. | 1608.01511v1 |
2017-10-27 | Probabilistic Couplings for Probabilistic Reasoning | This thesis explores proofs by coupling from the perspective of formal
verification. Long employed in probability theory and theoretical computer
science, these proofs construct couplings between the output distributions of
two probabilistic processes. Couplings can imply various guarantees comparing
two runs of a prob... | 1710.09951v2 |
2021-08-16 | Environment-assisted strong coupling regime | Strong coupling regime takes place in open hybrid systems consisting of two
or more physical subsystems when the coupling strength between subsystems
exceeds the relaxation rate. The relaxation arises due to the interaction of
the system with environment. For this reason, it is usually believed that the
enhancement of ... | 2108.07248v3 |
2023-06-18 | Manifestation of strong and ultra-strong coupling in high-order correlation function | Strong and ultra-strong coupling in "cavity - single atom" system are of
great interest for both fundamental and applied physics. It is considered that
the increase in the coupling strength between a cavity mode and an atom leads,
first, to transition from weak to strong coupling and, second, to ultra-strong
coupling r... | 2306.10573v1 |
2008-08-26 | Interaction between negative and positive index medium waveguides | The coupling between negative and positive index medium waveguides is
investigated theoretically in this paper. A coupled mode theory is developed
for such a waveguide system and its validity is verified. Interesting phenomena
in the coupled waveguides are demonstrated, which occur in the case when the
negative index m... | 0808.3528v1 |
2011-05-25 | Strong-Coupling Bose-Einstein Condensation | We extend the theory of Bose-Einstein condensation from Bogoliubov's
weak-coupling regime to arbirarily strong couplings. | 1105.5115v1 |
2014-08-07 | Coupling of Plasmon Modes in Graphene Microstructures | A variety of different graphene plasmonic structures and devices have been
proposed and demonstrated experimentally. Plasmon modes in graphene
microstructures interact strongly via the depolarization fields. An accurate
quantitative description of the coupling between plasmon modes is required for
designing and underst... | 1408.1734v1 |
2015-06-02 | Erosion of synchronization: Coupling heterogeneity and network structure | We study the dynamics of network-coupled phase oscillators in the presence of
coupling frustration. It was recently demonstrated that in heterogeneous
network topologies, the presence of coupling frustration causes perfect phase
synchronization to become unattainable even in the limit of infinite coupling
strength. Her... | 1506.00889v1 |
2018-03-10 | Distinct collective states due to the trade-off between attractive and repulsive couplings | We investigate the effect of repulsive coupling together with an attractive
coupling in a network of nonlocally coupled oscillators. To understand the
complex interaction between these two couplings we introduce a control
parameter in the repulsive coupling which plays a crucial role in inducing
distinct complex collec... | 1803.03808v1 |
2019-12-02 | Full-Vectorial Mode Coupling in Optical Fibers | Optical full vectorial modes have closely attracted much attention because of
their unique optical features and thus may develop the fundamental researches
and new functionalities of light. Beyond the conventional linear polarization
modal coupling, we thoroughly investigate the inherent polarizationdependence
and pola... | 1912.02023v2 |
2019-12-15 | Pairwise Near-maximal Grand Coupling of Brownian Motions | The well-known reflection coupling gives a maximal coupling of two
one-dimensional Brownian motions with different starting points. Nevertheless,
the reflection coupling does not generalize to more than two Brownian motions.
In this paper, we construct a coupling of all Brownian motions with all
possible starting point... | 1912.06956v1 |
2020-09-17 | Development of a coupling between a system thermal-hydraulic code and a reduced order CFD model | The nuclear community has coupled several three-dimensional Computational
Fluid Dynamics (CFD) solvers with one-dimensional system thermal-hydraulic
(STH) codes. This work proposes to replace the CFD solver by a reduced order
model (ROM) to reduce the computational cost. The system code RELAP5-MOD3.3 and
a ROM of the f... | 2009.10817v2 |
2020-07-21 | Unsupervised Heterogeneous Coupling Learning for Categorical Representation | Complex categorical data is often hierarchically coupled with heterogeneous
relationships between attributes and attribute values and the couplings between
objects. Such value-to-object couplings are heterogeneous with complementary
and inconsistent interactions and distributions. Limited research exists on
unlabeled c... | 2007.10720v1 |
2022-02-21 | Commuting to work and gender-conforming social norms: evidence from same-sex couples | We analyze work commute time by sexual orientation of partnered or married
individuals, using the American Community Survey 2008-2019. Women in same-sex
couples have a longer commute to work than working women in different-sex
couples, whereas the commute to work of men in same-sex couples is shorter than
the one of wo... | 2202.10344v1 |
2022-12-02 | Synchronization in repulsively coupled oscillators | A long-standing expectation is that two repulsively coupled oscillators tend
to oscillate in opposite directions. It has been difficult to achieve complete
synchrony in coupled identical oscillators with purely repulsive coupling.
Here, we introduce a general coupling condition based on the linear matrix of
dynamical s... | 2212.00988v1 |
2023-06-08 | Phonon-phonon coupling in bismuth vanadate over a large temperature range across the monoclinic phase | In this work we study phonon-phonon coupling in bismuth vanadate (BiVO4),
known for its second-order transition involving a variety of coupling
mechanisms. Using Raman spectroscopy as a probe, we identify two optical
coupled phonon modes of the VO4 tetrahedron and study them by varying light
polarization and temperatur... | 2306.05226v1 |
2009-12-03 | Nonlinear statistical coupling | By considering a nonlinear combination of the probabilities of a system, a
physical interpretation of Tsallis statistics as representing the nonlinear
coupling or decoupling of statistical states is proposed. The escort
probability is interpreted as the coupled probability, with Q = 1 - q defined
as the degree of nonli... | 0912.0748v1 |
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