Abstract
The magnetic (or electric) fields of morphology-dependent resonances of a dielectric sphere are shown to form an orthogonal complete set for expanding divergence-free vectorial functions inside the dielectric sphere, provided that there is a spatial discontinuity in its refractive index, say, at the edge of the sphere. A transverse projection dyad that picks up the divergence-free part (or its generalization) of a vector is defined and shown to be expandable in terms of the magnetic (or electric) fields of these morphology-dependent resonances. Moreover, the transverse dyadic Green’s function in these dielectric spheres is in turn expressed as a sum of tensor products of relevant morphology-dependent resonance fields. Each term in the sum manifests itself as a resonant response to external perturbations. Thus the morphology-dependent resonance expansion provides a powerful tool to analyze various optical phenomena in dielectric spheres.
© 1999 Optical Society of America
Full Article | PDF ArticleMore Like This
K. M. Lee, P. T. Leung, and K. M. Pang
J. Opt. Soc. Am. B 16(9) 1418-1430 (1999)
Sheung-wah Ng, Pui-tang Leung, and Kai-ming Lee
J. Opt. Soc. Am. B 19(1) 154-164 (2002)
P. T. Leung and K. M. Pang
J. Opt. Soc. Am. B 13(5) 805-817 (1996)