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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 19, Iss. 1 — Jan. 1, 2002
  • pp: 154–164

Dyadic formulation of morphology-dependent resonances. III. Degenerate perturbation theory

Sheung-wah Ng, Pui-tang Leung, and Kai-ming Lee  »View Author Affiliations


JOSA B, Vol. 19, Issue 1, pp. 154-164 (2002)
http://dx.doi.org/10.1364/JOSAB.19.000154


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Abstract

Based on the completeness of morphology-dependent resonances (MDRs) in a dielectric sphere and the associated MDR expansion of the transverse dyadic Green’s function, a generic perturbation theory is formulated. The method is capable of handling cases with degeneracies in the MDR frequencies, which are ubiquitous in systems with a specific symmetry. One then applies the perturbation scheme to locate the MDRs of a dielectric sphere that contains several smaller spherical inclusions. To gauge the accuracy and efficiency of the perturbation scheme, we also use a transfer-matrix method to obtain an eigenvalue equation for MDRs in these systems. The results obtained from these two methods are compared, and good agreement is found.

© 2002 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(000.4430) General : Numerical approximation and analysis
(260.2110) Physical optics : Electromagnetic optics
(260.5740) Physical optics : Resonance
(290.0290) Scattering : Scattering
(290.4020) Scattering : Mie theory

Citation
Sheung-wah Ng, Pui-tang Leung, and Kai-ming Lee, "Dyadic formulation of morphology-dependent resonances. III. Degenerate perturbation theory," J. Opt. Soc. Am. B 19, 154-164 (2002)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-19-1-154

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