
Impact of Kerr nonlinearity on the whispering gallery modes of a microsphere
Author(s) -
Shovasis Kumar Biswas,
Shiva Kumar
Publication year - 2015
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.23.026738
Subject(s) - kerr effect , whispering gallery wave , nonlinear system , physics , optics , amplitude , magneto optic kerr effect , kerr nonlinearity , nonlinear optics , quantum mechanics , laser
To describe the temporal evolution of the mode amplitude of a spherical microcavity, a nonlinear equation is developed by considering loss and Kerr nonlinear effect as perturbations. In order to study the impact of Kerr nonlinearity, the tensor components of χ((3)) in spherical coordinates are calculated. To describe the impact of Kerr nonlinearity, effective mode volume and effective nonlinear coefficient are defined. We found that the resonant modes undergo a negative frequency shift proportional to the injected energy, consistant with the reported experimental observations.