WGMode : A Matlab toolbox for whispering gallery modes volume computation in spherical optical micro-resonators

Stéphane Balac (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

We present a Matlab toolbox aimed at studying Whispering Gallery Modes (WGM) in spherical optical micro-resonators. Whispering gallery modes are specific resonances of an optical wave trapped inside a dielectric cavity with smooth edges due to continuous total internal reflection of light. The novelty of the work stands in the implementation of analytical formulas to compute the volume of a WGM in a spherical cavity while only approximate asymptotic expressions or purely numerical computations based on the Finite Element Method were previously available. The toolbox also provides Matlab programs to compute and visualize WGM.

Mots clés: optical micro-resonators; mode volume; whispering gallery modes

Domaines: Analyse numérique [math.NA]; Physique Numérique [physics.comp-ph]; Optique [physics.optics]; Logiciel mathématique [cs.MS]

Stéphane Balac. WGMode : A Matlab toolbox for whispering gallery modes volume computation in spherical optical micro-resonators. Computer Physics Communications, 2019, 243, pp.121-134. ⟨10.1016/j.cpc.2019.05.002⟩. ⟨hal-02129778⟩