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Diffraction calculations in the near field and the validity of the Fresnel approximation

Diffraction calculations in the near field and the validity of the Fresnel approximation
Diffraction calculations in the near field and the validity of the Fresnel approximation
The general theory of the diffraction and propagation of light is considered. Particular attention is paid to the case of uniformly illuminated rectangular or circular apertures, for which the derivative of the field given by the Fresnel approximation is evaluated exactly. The limitations of the Fresnel approximation are considered, and thus a useful, simple way of understanding its validity is produced. This treatment yields an estimate of the accuracy of the Fresnel approximation in the general case and a method by which a modified Fresnel treatment can be used over a substantially extended region.
1084-7529
1809-1814
Steane, A.M.
272c23f6-a7b3-4023-adf5-d352ae4ad6e7
Rutt, H.N.
e09fa327-0c01-467a-9898-4e7f0cd715fc
Steane, A.M.
272c23f6-a7b3-4023-adf5-d352ae4ad6e7
Rutt, H.N.
e09fa327-0c01-467a-9898-4e7f0cd715fc

Steane, A.M. and Rutt, H.N. (1989) Diffraction calculations in the near field and the validity of the Fresnel approximation. Journal of the Optical Society of America A, 6 (12), 1809-1814. (doi:10.1364/JOSAA.6.001809).

Record type: Article

Abstract

The general theory of the diffraction and propagation of light is considered. Particular attention is paid to the case of uniformly illuminated rectangular or circular apertures, for which the derivative of the field given by the Fresnel approximation is evaluated exactly. The limitations of the Fresnel approximation are considered, and thus a useful, simple way of understanding its validity is produced. This treatment yields an estimate of the accuracy of the Fresnel approximation in the general case and a method by which a modified Fresnel treatment can be used over a substantially extended region.

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Published date: December 1989
Organisations: Electronics & Computer Science

Identifiers

Local EPrints ID: 258494
URI: http://eprints.soton.ac.uk/id/eprint/258494
ISSN: 1084-7529
PURE UUID: cbc54aa0-528a-4207-8afe-8eceb5799d41

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Date deposited: 05 Nov 2003
Last modified: 09 Mar 2021 17:34

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Contributors

Author: A.M. Steane
Author: H.N. Rutt

University divisions

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