Analytic calculation for scattering of electromagnetic waves by linear slot array

Danhong Huang; David Wellems

doi:10.1117/12.913014

20 January 2012 Analytic calculation for scattering of electromagnetic waves by linear slot array

Danhong Huang, David Wellems

Proceedings Volume 8268, Quantum Sensing and Nanophotonic Devices IX; 826804 (2012) https://doi.org/10.1117/12.913014
Event: SPIE OPTO, 2012, San Francisco, California, United States

Abstract

For the scattering of an incident plane electromagnetic wave by a slotted metallic film, the previous analytical calculation for a single slot is generalized into a model for an arbitrary linear array of slots with variable slot width, slot separation and slot dielectric material. The advantage as well as the effectiveness of the generalized model presented in this work are best described by enabling calculation of a continuous spatial distribution of an electromagnetic field by inverting a small discrete coefficient matrix spanned by both the slot index and the sloteigenmode index for a set of linear equations. In comparisons with well-known plane-wave and finite-difference time-domain methods, inverting a large matrix, in wave number space for the former case and in real space at each time step for the latter case, can be avoided to greatly speed up numerical calculations. In addition, based on a partial-domain method, the formalism presented here can be employed to treat a composite surface (e.g., a slotted metal film with different dielectric materials in the slots).

Citation Download Citation

Danhong Huang and David Wellems "Analytic calculation for scattering of electromagnetic waves by linear slot array", Proc. SPIE 8268, Quantum Sensing and Nanophotonic Devices IX, 826804 (20 January 2012); https://doi.org/10.1117/12.913014

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