Photonic Coupled-Mode Optimization

This project implements numerical optimization of 1D dielectric waveguide gratings using coupled-mode theory. It computes optimized detuning and coupling profiles for desired reflection and transmission characteristics.

📄 Overview

This repository includes:

• Photonic_Optimization_Notebook.ipynb – Interactive Jupyter notebook for transmission and reflection optimization.
• CoupledMode.jl – Coupled-mode equation definition and solver.
• Objectives.jl – Objective functions for optimization (amplitude + phase).
• Visualization.jl – Minimal publication-quality plots.
• FieldMapPlot.jl – Transmission field map over (z, δ).
• Project.toml – Julia environment file (optional, not generated here).

🔧 Requirements

• Julia ≥ 1.9
• Packages:
  • DifferentialEquations
  • Optimization, OptimizationBBO
  • Plots
  • Interpolations
  • CSV, DataFrames

Install dependencies by activating the environment:

using Pkg
Pkg.activate(".")
Pkg.instantiate()

🚀 Usage

Launch the notebook using:

jupyter notebook Photonic_Optimization_Notebook.ipynb

or run from the Julia REPL with Pluto.jl:

import Pluto
Pluto.run()

📈 Output

The notebook produces:

• Amplitude and phase plots of optimized reflection and transmission spectra
• A field map (|B(z, δ)|²) visualization of the transmitted wave
• Plots suitable for scientific publication

📚 Reference

Theory follows the coupled-mode formalism outlined in:

Joannopoulos et al., Photonic Crystals: Molding the Flow of Light, Ch. 4 and 7

🧑‍💻 Author

This code is part of a Master's thesis project in photonic inverse design.