maxwell_fdfd

Two point sources

Gaussian source

Summary

A general matrix equation solver for 2D Yee grids, supporting perfectly matched layers (PMLs).

In principle this could be applied to any differential matrix equation, e.g. the heat equation.

Here we apply it to Maxwell's equations in the frequency domain (hence, finite difference frequency domain, or FDFD). See Raymond Rumpf's educational resources on computational electromagnetics if you need a refresher.

Mode solver

You can add arbitrary materials to the grid, e.g. a Si waveguide or lens (with the correct relative permittivity $\epsilon_r$ and permeability $\mu_r$ at their respective component grid points). You can then solve for the optical eigenmodes of the system (e.g., a waveguide cross section). E.g., see /demos/scalarModes2D.m.

Differential matrix equation solver

You can add, also, arbitrary light sources to the grid, solve the corresponding matrix equation, and step the phase to see the light propagating through your system. E.g., see /demos/unidirectionalGaussianSourceDemo.m

An astute observer may consider solving for the modes of a waveguide and then using these as light sources for a larger system...! As this is simply a general solver, the limit is your time and creativity (and ability to compose the correct equations; but the two main scenarios of interest have already been discussed).

Installation

Just install Matlab (after getting a license...) and you're good to clone! Get started in the /demos folder.