Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Analytical estimates of eigenfrequencies, dispersion, and field distribution in whispering gallery resonators

Not Accessible

Your library or personal account may give you access

Abstract

The problem of accurate calculation of eigenfrequencies in resonators of complex geometry is not only fundamental but also has many practical applications. In particular, a possibility for calculating the eigenfrequencies and geometry dependent dispersion of whispering gallery modes is important for optimization of dielectric microresonator-based Kerr frequency combs. In this case, the required anomalous second-order dispersion may be controlled by means of small shape variations of the resonator. Unfortunately, all uniform approximations for the eigenfrequencies do not reach the required precision for this purpose. We propose new approximations for spheroids, quartics, and toroids with better precision, which also allow for the estimation of the second-order dispersion. We also obtain analytical expressions for field distribution in microresonators and investigate the possibility of achieving better approximations by combining analytical and numerical methods.

© 2013 Optical Society of America

Full Article  |  PDF Article
More Like This
Whispering gallery modes at the rim of an axisymmetric optical resonator: Analytical versus numerical description and comparison with experiment

I. Breunig, B. Sturman, F. Sedlmeir, H. G. L. Schwefel, and K. Buse
Opt. Express 21(25) 30683-30692 (2013)

Efficient finite-element formulation for analysis of whispering-gallery-mode optical resonators

Razi Dehghannasiri, Mohammad Soltani, and Ali Adibi
J. Opt. Soc. Am. B 34(10) 2259-2265 (2017)

Analytical approach to the design of microring resonators for nonlinear four-wave mixing applications

T. Hansson, D. Modotto, and S. Wabnitz
J. Opt. Soc. Am. B 31(5) 1109-1117 (2014)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (2)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (2)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (34)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved