## Iterative perturbation scheme for morphology-dependent resonances in dielectric spheres

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

http://dx.doi.org/10.1364/JOSAA.15.001383

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### Abstract

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

**Citation**

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)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-5-1383

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### References

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