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Optica Publishing Group
  • Conference on Lasers and Electro-Optics
  • OSA Technical Digest (Optica Publishing Group, 2002),
  • paper JTuE7

Mie Scattering by Concentric Multilayers

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Abstract

The Mie formulation for homogeneous spheres is generalized to handle core/shell systems and multiple concentric layers in a manner that exploits an analogy with stratified planar systems. This analogy enables core/shell and concentric multilayered structures to be treated as photonic bandgap (PBG) materials. In this case the PBG relates to spherical waves rather than plane waves. However there are important differences we will discuss that may give these systems more design flexibility. In particular the decomposition of plane waves into superpositions of vector spherical harmonics provides an extra degree of freedom in dielectric structure design. For example, each spherical wave may have it’s own PBG, enabling control of the scattering profile, and filtering of unwanted multipoles. Representative results from a Mie code employing this analogy will be presented. This methodology provides better intuition than other approaches such as finite difference time-domain or previous applications of modal analysis, and allows planar PBG designs to be adapted to spherical systems. We will discuss methods for designing concentrically stratified particles to control the angular scattering profile, interference structure, and ripple structure of small particles. We will show that large absorbing cores with quarter-wave dielectric shells result in PBGs in the scattered light. The main effect of the concentric quarter-wave stack is to change the angular intensity distribution such that backward scattering is enhanced within the gap, while forward scattering is enhanced outside the gap, in direct analogy with planar multilayers. PBGs can be easily observed in the backscattering, asymmetry parameter, and albedo. Concentric multi-layers also affect the interference and ripple structure (morphological dependent resonances) in the overall extinction efficiency both through the PBG and via the optical theorem.

© 2002 Optical Society of America

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