Optimization of conformal whispering gallery modes in lima\c{c}on-shaped transformation cavities
Abstract
In lima\c{c}on-shaped gradient index dielectric cavities designed by conformal transformation optics, the variation of Q-factors and emission directionality of resonant modes was traced in their system parameter space. For these cavities, their boundary shapes and refractive index profiles are determined in each case by a chosen conformal mapping which is taken as a coordinate transformation. Through the numerical exploration, we found that bidirectionality factors of generic high-Q resonant modes are not directly proportional to their Q-factors. The optimal system parameters for the coexistence of strong bidirectionality and a high Q-factor was obtained for anisotropic whispering gallery modes supported by total internal reflection.
Keywords
Cite
@article{arxiv.1901.03083,
title = {Optimization of conformal whispering gallery modes in lima\c{c}on-shaped transformation cavities},
author = {Jung-Wan Ryu and Jinhang Cho and Inbo Kim and Muhan Choi},
journal= {arXiv preprint arXiv:1901.03083},
year = {2019}
}
Comments
18 pages, 8 figures