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--- |
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title: BPM |
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emoji: 📈 |
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colorFrom: green |
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colorTo: pink |
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sdk: gradio |
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sdk_version: 5.28.0 |
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app_file: app.py |
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pinned: false |
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short_description: beam go brrrr |
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--- |
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# BPM |
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Beam Propagation Method |
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**BPM** is a Python library for simulating beam propagation in integrated photonics using the Beam Propagation Method (BPM). The package provides functions to generate refractive index distributions for various structures (e.g., lenses, waveguides, and MMI splitters), a mode solver for slab waveguides, and BPM propagation routines with support for Perfectly Matched Layers (PML) for absorbing boundary conditions. |
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Currently it is 2D only, and use analytic solutions to launch slab modes. Propagation direction is upward and is called z. Transverse direction is x. |
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## Features |
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- Generate refractive index distributions: |
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- Spherical lens |
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- S-bend waveguide |
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- MMI-based splitter |
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- Solve for guided slab waveguide modes (even/odd modes) |
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- BPM propagation using a Runge-Kutta integrator |
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- PML boundary absorption |
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- [] Import from GDSII |
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## Installation |
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Clone the repository and install using pip: |
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```bash |
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git clone https://github.com/jwt625/bpm.git |
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cd bpm |
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pip install -e . |
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``` |
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## Examples |
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Slab mode solver and launcher: |
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Refractive index distribution of an MMI: |
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Simulated example MMI: |
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Simulated example S bend. The waveguide is multimode: |
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## References |
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Optical tomographic reconstruction based on multi-slice wave propagation method |
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- https://doi.org/10.1364/OE.25.022595 |
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Light propagation through microlenses: a new simulation method |
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- https://doi.org/10.1364/AO.32.004984 |
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Light propagation in graded-index optical fibers |
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- https://doi.org/10.1364/AO.17.003990 |
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- this one is a classic |
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Numerical Simulation of Optical Wave Propagation with Examples in MATLAB |
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- https://spie.org/publications/book/866274 |
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Photonic Devices for Telecommunications |
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- https://link.springer.com/book/10.1007/978-3-642-59889-0 |
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- chapter 2 |
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### Papers cited in chapter 2.2.1 of the book: |
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- Chung1990: An assessment of finite difference beam propagation method |
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- https://ieeexplore.ieee.org/abstract/document/59679 |
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- Vassallo1992: Improvement of finite difference methods for step-index optical waveguides |
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- https://digital-library.theiet.org/doi/abs/10.1049/ip-j.1992.0024 |
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