2013•Unpublished venueOpen access

Fresnel region asymptotics of near-field to far-field transformation: The cylindrical case

Yu. V. Krivosheev, A. V. Shishlov

Abstract

Asymptotic behavior of near-field to far-field transformation based on cylindrical wave expansion, applied to Fresnel-field measurements, is considered. Far field is represented as a linear combination of Fresnel-field samples with coefficients expressed in terms of Fresnel integrals. The results agree with the known Fresnel-field to far-field transformation based on Kirchhoff approximation.

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Key concepts: Fresnel integral, Fresnel number, Field (mathematics), Fresnel diffraction, Fresnel zone, Transformation (genetics), Near and far field, Fresnel equations