Non-quasi-static eigenstates of Maxwell's equations in a two-constituent composite medium and their application to a calculation of the local electric field of an oscillating dipole

Asaf Farhi; David J. Bergman

doi:10.1117/12.2188035

28 August 2015 Non-quasi-static eigenstates of Maxwell's equations in a two-constituent composite medium and their application to a calculation of the local electric field of an oscillating dipole

Asaf Farhi, David J. Bergman

Author Affiliations +

Proceedings Volume 9547, Plasmonics: Metallic Nanostructures and Their Optical Properties XIII; 95471R (2015) https://doi.org/10.1117/12.2188035
Event: SPIE Nanoscience + Engineering, 2015, San Diego, California, United States

Abstract

In conventional optics the image is formed only by the propagating waves and the information encoded in the evanescent waves is lost, leading to limited resolution. A negative refractive index slab can amplify evanescent waves and enable the generation of an image by both propagating and non propagating waves, theoretically leading to unlimited resolution. Here we analyze the imaging of an oscillating dipole in a composite structure composed of an (epsilon)₁ slab surrounded by an (epsilon)₂ medium, where μ = 1 everywhere. For this purpose we calculate all the eigenstates and eigenvalues of the full Maxwell equations for the composite structure and develop an exact expansion for the local electric field E(r) in the system. Then we calculate the intensity and resolution for various permittivity values. We show that only the low order modes contribute to the expansion of the electric field which enables an efficient calculation of the physical quantities.

Conference Presentation

Citation Download Citation

Asaf Farhi and David J. Bergman "Non-quasi-static eigenstates of Maxwell's equations in a two-constituent composite medium and their application to a calculation of the local electric field of an oscillating dipole", Proc. SPIE 9547, Plasmonics: Metallic Nanostructures and Their Optical Properties XIII, 95471R (28 August 2015); https://doi.org/10.1117/12.2188035

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