Waveguide Reflection Framework

Overview

This repository contains the complete code implementation for the paper:

"A Generalized Reflection-Count-Based Geometrical Optics Framework for Attenuation Analysis in Multimode Waveguides"

Mathematical Model

The total number of internal reflections in a planar waveguide is:

$$N = \frac{L \tan \theta}{2h}$$

The transmitted power is modeled as:

$$P(L, \theta) = P_0 \exp\left[-L \left( \frac{\alpha_{abs}}{\cos\theta} + \frac{\alpha_{sc} \tan\theta}{2h} \right)\right]$$

Features

• ✅ Analytical calculation of internal reflection count
• ✅ Two-parameter attenuation model
• ✅ Optimal launch angle optimization
• ✅ Mode-dependent loss (MDL) analysis
• ✅ Bending loss extension
• ✅ Wavelength-dependent analysis
• ✅ Monte Carlo ray-tracing simulation
• ✅ Comprehensive figure generation

Installation

git clone https://github.com/arazinalti/waveguide-reflection-framework.git
cd waveguide-reflection-framework
pip install -r requirements.txt

Quick Start

from src.waveguide import Waveguide
import numpy as np

wg = Waveguide(h=50e-6, alpha_abs=0.2, alpha_sc=5e-5)
N = wg.N_reflections(100, np.radians(10))
P = wg.power(100, np.radians(10))

print(f"Reflections: {N:.2e}")
print(f"Power: {P:.4f}")

Generate Paper Figures

python figures/generate_figures.py

Project Structure

waveguide-reflection-framework/
├── src/
│   └── waveguide.py
├── figures/
│   └── generate_figures.py
├── examples/
│   └── example_usage.py
├── tests/
│   └── test_waveguide.py
├── requirements.txt
├── LICENSE
└── README.md

Citation

@article{soltani2026waveguide,
  title={A Generalized Reflection-Count-Based Geometrical Optics Framework for Attenuation Analysis in Multimode Waveguides},
  author={Soltani, Abolfazl},
  journal={Journal of the Optical Society of America B},
  year={2026},
  note={Under review}
}

License

MIT License - see LICENSE file.

Contact

Abolfazl Soltani - araz.soltani2007@gmail.com