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Pré-Publication, Document De Travail Année : 2019

Mathematical analysis of whispering gallery modes in graded index optical micro-disk resonators

Résumé

We study from a theoretical point of view whispering gallery modes (WGM) in graded index micro-disk resonators where the refractive optical index varies with the radial position. Using a quantum mechanical analogy, we highlight three different behaviors for the WGM depending on the sign of a key parameter expressed as the ratio of the refractive index value to its derivative at the cavity boundary. This results in three asymptotic expansions of the resonances for large polar mode index providing first-approximations of WGM in a simple and quick way.
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Dates et versions

hal-02157635 , version 1 (17-06-2019)
hal-02157635 , version 2 (04-09-2020)

Identifiants

  • HAL Id : hal-02157635 , version 1

Citer

Stéphane Balac, Monique Dauge, Yannick Dumeige, Patrice Féron, Zoïs Moitier. Mathematical analysis of whispering gallery modes in graded index optical micro-disk resonators. 2019. ⟨hal-02157635v1⟩
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