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Effective multipole expansion for scattering of particles on a highly conductive substrate

Mike Li, A*STAR, Singapore

In this model, we simulate a light wave scatters off a silicon hemisphere on a PEC boundary and decompose the scattering to a set of 'effective multipoles' so that the scattering properties can be understood. This model is a simple extension of the multipole expansion model contributed by Grahn et al ( It applies well to a class of problems, where the substrates, which the scattering particle is sitting on or elevated from, can be approximated as a perfect electric conductor. For example, substrates made of gold and silver in the mid-infrared frequencies.
A slight modification of this model can be used to describe scatterers on metallic substrates in the optical frequencies as well. In addition, it works on arbitrary background field, including oblique incidence of light. The derivation of the effective multipole coefficients and the result of this simulation is discussed in the following reference ('Generalized Method of Images and Reflective Color Generation from Ultrathin Multipole Resonators' by S.Q. Li et al, ACS Photonics, 2018. It is applicable to design meta-atoms for various applications.

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蔚暄 张
Nov 10, 2018 at 10:49am UTC

Comment removed by 蔚暄 张.

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