A functional and efficient python implementation of the 3D version of Maxwell's equations

Overview

py-maxwell-fdfd

Solving Maxwell's equations via A python implementation of the 3D curl-curl E-field equations. This code contains additional work to engineer the eignspectrum for better convergence with iterative solvers (using the Beltrami-Laplace operator). You can control this in the main function through the input parameter $s = {0,-1,1}$

There is also a preconditioners to render the system matrix symmetric.

important notes about implementation

  1. Note that arrays are ordered using column-major (or Fortan) ordering whereas numpy is natively row-major or C ordering. You will see this in operations like reshape where I specify ordering.

Examples

  1. Plane Wave

  2. Dipole in Vacuum

Future

Expect integration of this with ceviche for autograd

Owner
Nathan Zhao
applied physics PhD student at Stanford University
Nathan Zhao
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