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

Completeness and time-independent perturbation of morphology-dependent resonances in dielectric spheres

Not Accessible

Your library or personal account may give you access

Abstract

Morphology-dependent resonances commonly observed in both the elastic and the inelastic scattering of light waves from dielectric spheres are in fact direct manifestations of complex frequency poles of the scattering matrix. Time-independent solutions to the wave equation at these poles are termed quasi-normal modes, which are characterized by the outgoing wave boundary condition at infinity and cannot be normalized in the usual sense. These resonances (or quasi-normal modes) are shown to form a complete set inside the dielectric sphere, provided that there is a spatial discontinuity in the refractive index, say, at the edge of the sphere. Novel definitions of norm and inner product are introduced. In addition, a time-independent perturbation method based on this completeness relation is developed to evaluate shifts in resonance frequencies when the refractive index is changed.

© 1996 Optical Society of America

Full Article  |  PDF Article
More Like This
Dyadic formulation of morphology-dependent resonances. I. Completeness relation

K. M. Lee, P. T. Leung, and K. M. Pang
J. Opt. Soc. Am. B 16(9) 1409-1417 (1999)

Iterative perturbation scheme for morphology-dependent resonances in dielectric spheres

K. M. Lee, P. T. Leung, and K. M. Pang
J. Opt. Soc. Am. A 15(5) 1383-1393 (1998)

Dyadic formulation of morphology-dependent resonances. II. Perturbation theory

K. M. Lee, P. T. Leung, and K. M. Pang
J. Opt. Soc. Am. B 16(9) 1418-1430 (1999)

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 (7)

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

Equations (83)

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