WGrin: A Matlab toolbox for computing whispering gallery modes in graded index optical resonators
Published: 26 May 2026| Version 1 | DOI: 10.17632/27sdvfs7yp.1
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Description
WGrin is a Matlab toolbox aimed at studying Whispering Gallery Modes (WGM) in graded index (GRIN) optical micro-resonators. Such resonators have a dielectric cavity with a spatially varying refractive index. WGrin deals with dielectric cavities the shape of which is a disk or a sphere and the refractive index varies with the radial position. For these two geometries of practical interest, the resonance problem can be formulated in the unique form of a one-dimensional problem in the radial variable. This resonance problem is solved by the Finite Difference Method with Perfectly Matched Layer (PML). WGrin allows the computation of resonance wavelengths and the visualization of WGM in GRIN micro-disk and micro-sphere resonators.
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Computational Physics, Finite Difference Method, Optical Resonator