General eigenstates of Maxwell's equations in a two-constituent composite medium and their application to a calculation of the local electric field in a flat-slab microstructure

Asaf Farhi; David J. Bergman

doi:10.1117/12.2236639

17 September 2016 General eigenstates of Maxwell's equations in a two-constituent composite medium and their application to a calculation of the local electric field in a flat-slab microstructure

Asaf Farhi, David J. Bergman

Author Affiliations +

Proceedings Volume 9921, Plasmonics: Design, Materials, Fabrication, Characterization, and Applications XIV; 99210E (2016) https://doi.org/10.1117/12.2236639
Event: SPIE Nanoscience + Engineering, 2016, San Diego, California, United States

Abstract

An exact calculation of the local electric field E(r) is described for the case of an external current or plane wave source in a setup of an E₁, μ₁ slab in an E₂, μ₂ medium. For this purpose we first calculate all the general eigenstates of the full Maxwell equations. These eigenstates are then used to develop an exact expansion for the physical values of E(r) in the system characterized by physical values of E₁, E₂, μ₁, and μ₂. Results are compared with those of a previous calculation of the local field where μ = 1 everywhere. Numerical results are shown for the eigenvalues in practically important configurations where attaining an optical image with sub-wavelength resolution has practical significance. We show that the k ≫ k₂ components are enhanced for the TM field when E₁/E₂= −1 and for the TE field when μ₁/μ₂ = −1 where the enhancement of the evanescent waves starts from lower k values as we approach a setup with both E₁/E₂ = −1 and μ₁/μ₂ = −1. We also show that the eigenfunctions for the setup where μ = 1 everywhere correspond to configurations of 3D phased arrays.

Conference Presentation

Citation Download Citation

Asaf Farhi and David J. Bergman "General eigenstates of Maxwell's equations in a two-constituent composite medium and their application to a calculation of the local electric field in a flat-slab microstructure", Proc. SPIE 9921, Plasmonics: Design, Materials, Fabrication, Characterization, and Applications XIV, 99210E (17 September 2016); https://doi.org/10.1117/12.2236639

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