2023Unpublished venueRequires access

Electromagnetic Plane Wave Propagation through a Chiral Fresnel Zone Plate

Nagi Buaossa, Monish R. Chatterjee

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Abstract

A methodology based on electromagnetic (EM) propagation across planar chiral slabs resulting in the computation of Fresnel coefficients (FCs), is applied to the case of a Fresnel zone plate (FZP) where the standard, clear circular zones are replaced with a magnetic, chiral material. Using appropriate amplitude transmission profiles across the zones, EM diffraction past the FZP is examined using a modified version of the Fresnel-Kirchhoff integral in near- and far-fields, and the emergence of multiple focal planes along the longitudinal axis is tracked based on both hard paraxial and also more general off-axis approximations. The resulting defocusing effects in the transverse planes at and near individual focal planes are also examined for point sources and 2D transparencies.

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What this paper is about

A methodology based on electromagnetic (EM) propagation across planar chiral slabs resulting in the computation of Fresnel coefficients (FCs), is applied to the case of a Fresnel zone plate (FZP) where the standard, clear circular zones are replaced with a magnetic, chiral material. Using appropriate amplitude transmission profiles across the zones, EM diffraction past the FZP is examined using a modified version of the Fresnel-Kirchhoff integral in near- and far-fields, and the emergence of multiple focal planes along the longitudinal axis is tracked based on both hard paraxial and also more general off-axis approximations. The resulting defocusing effects in the transverse planes at and near individual focal planes are also examined for point sources and 2D transparencies.

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Available abstract

A methodology based on electromagnetic (EM) propagation across planar chiral slabs resulting in the computation of Fresnel coefficients (FCs), is applied to the case of a Fresnel zone plate (FZP) where the standard, clear circular zones are replaced with a magnetic, chiral material. Using appropriate amplitude transmission profiles across the zones, EM diffraction past the FZP is examined using a modified version of the Fresnel-Kirchhoff integral in near- and far-fields, and the emergence of multiple focal planes along the longitudinal axis is tracked based on both hard paraxial and also more general off-axis approximations. The resulting defocusing effects in the transverse planes at and near individual focal planes are also examined for point sources and 2D transparencies.

Key concepts: Fresnel zone, Zone plate, Fresnel zone antenna, Fresnel diffraction, Fresnel number, Paraxial approximation, Optics, Diffraction

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