Waveguide Mode Solver

Version 2.0.0 (35 KB) by Thomas Murphy
Calculate the electromagnetic modes of optical waveguides.
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Updated 3 Jan 2026

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Calculate the electromagnetic eigenmodes and propagation constants of optical waveguides using the finite difference method. Features:
1. Includes vector, semivector, and scalar versions.
2. Can solve for all components of E and H.
3. Allows for perfectly-matched boundary layers.
4. Can model transverse anisotropic materials.
5. Several examples included
Also available at:
http://www.photonics.umd.edu/software/wgmodes/
Published in:
A. B. Fallahkhair, K. S. Li and T. E. Murphy, "Vector Finite Difference Modesolver for Anisotropic Dielectric Waveguides", J. Lightwave Technol. 26(11), 1423-1431, (2008).

Cite As

Thomas Murphy (2026). Waveguide Mode Solver (https://uk.mathworks.com/matlabcentral/fileexchange/12734-waveguide-mode-solver), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2009b
Compatible with any release
Platform Compatibility
Windows macOS Linux
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Acknowledgements

Inspired: FFT Beam Propagation Method

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Version Published Release Notes
2.0.0

Updated to version 2.0.0. Source code now hosted on github
1.2.0.0

Corrected bug in stretchmesh routine for south and west boundaries. Also corrected a bug in wgmodes and svmodes in which dy was incorrected conjugated.

(Thanks to Jiri Petracek for discovering this bug.)
1.1.0.0

Minor modifications in the examples, and contour plotting subroutine.
1.0.0.0

Corrected an algebraic error in the expressions for the coefficients Axy(E), Axy(W), Axy(N) and Axy(S). Many thanks to yuchunlu_china@hotmail.com for pointing out this bug.