Documentation for Rigorous Coupled Wave Analysis

Contents:

• Examples using RCWA
  • Bragg Mirror Reflection Spectra
  • Reflection from a Dispersive Interface (Silicon)
  • Reflection from a Dispersive Interface (SiO2)
  • Ellipsometry of bare Si wafer [BROKEN]
  • Rectangular Lattice Photonic Crystal with Triangular Shape
  • Rectangular Diffraction Grating
• rcwa API
• Materials in rcwa
  • Interpolation and Extrapolation
  • Imaginary Sign Convention
  • Example Tabulated Data Files
  • Material Examples
• Mathematics of RCWA
  • Definitions and Conventions
  • Fields and Field Coefficients
  • Field Coefficients
  • Mode Coefficients
  • Scattering Matrices couple Mode Coefficients
  • Finding Mode coefficients inside an arbitrary layer
  • Find E/H Coefficients inside an arbitrary Layer
  • Finding the electric and magnetic fields inside an arbitrary layer

Getting Started

Installation

The recommended way to install this software is with pip:

pip install rcwa

And that’s it!

Hello World Program

To run a simple example, run:

python -m rcwa.examples.bragg_mirror

This should run an example with a 10-layer bragg mirror (also known as a [dielectric mirror](https://en.wikipedia.org/wiki/Dielectric_mirror)), which can have very high reflectance near its design wavelength, and output the reflectance and transmission as a function of wavelength.

2D Photonic Crystal Example

The examples folder also contains a 2D photonic crystal example called triangular_photonic_crystal.py. Running it will print the reflection and transmission coefficients, but diving into the example you can extract any quantities of interest: amplitude reflection coefficients, diffraction efficiencies for each harmonic, etc.

Features

• Implements 1D Transfer Matrix Method for homogenous layers

• Implements full rectangular 2D RCWA for periodic layers

• Arbitrary incident wave polarization (circular, linear, elliptical)

• Arbitrary incident wave angle of incidence

• Exactly solves Maxwell’s Equations for arbitrary layer stacks of any thickness

• Compute reflected power, transmitted power, and S-parameters

• Easy to use class-based syntax

• Large, fast-to-run test suite

Documentation

This project is documented on [Read The Docs](https://rcwa.readthedocs.io/en/latest/). For additional information, including downloading examples, you can view this project on [github](https://github.com/edmundsj/RCWA).

Author: Jordan Edmunds, UC Irvine Alumnus, UC Berkeley Ph.D. Student

Date Started: 2020/01/05

License

This project is distributed under the [MIT license](https://mit-license.org/).

Indices and tables

• Index

• Module Index

• Search Page