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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 15, Iss. 5 — May. 1, 1998
  • pp: 1383–1393

Iterative perturbation scheme for morphology-dependent resonances in dielectric spheres

K. M. Lee, P. T. Leung, and K. M. Pang  »View Author Affiliations

JOSA A, Vol. 15, Issue 5, pp. 1383-1393 (1998)

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The properties of morphology-dependent resonances observed in the scattering of electromagnetic waves from dielectric spheres have recently been investigated intensively, and a second-order perturbative expansion for these resonances has also been derived. Nevertheless, it is still desirable to obtain higher-order corrections to their eigenfrequencies, which will become important for strong enough perturbations. Conventional explicit expressions for higher-order corrections inevitably involve multiple sums over intermediate states, which are computationally cumbersome. In this analysis an efficient iterative scheme is developed to evaluate the higher-order perturbation results. This scheme, together with the optimal truncation rule and the Padé resummation, yields accurate numerical results for eigenfrequencies of morphology-dependent resonances even if the dielectric sphere in consideration deviates strongly from a uniform one. It is also interesting to find that a spatial discontinuity in the refractive index, say, at the edge of the dielectric sphere, is crucial to the validity of the perturbative expansion.

© 1998 Optical Society of America

OCIS Codes
(010.1110) Atmospheric and oceanic optics : Aerosols
(260.5740) Physical optics : Resonance
(290.4020) Scattering : Mie theory

Original Manuscript: July 22, 1997
Manuscript Accepted: December 19, 1997
Published: May 1, 1998

K. M. Lee, P. T. Leung, and K. M. Pang, "Iterative perturbation scheme for morphology-dependent resonances in dielectric spheres," J. Opt. Soc. Am. A 15, 1383-1393 (1998)

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