A Simple Proof of Damien’s Theorem and Duality in Theory of the Zero-Distance Phase Front

Duality plays the main role in all mathematical theories. In wave optics based on the concept of “the zero-distance phase front,” duality takes the form of Damien’s theorem and the mirror symmetry between the conic refracting surfaces with the plane zero-distance phase front and the plane refracting...

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Bibliographic Details
Main Author: Andrey Valerievich Gitin
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:International Journal of Antennas and Propagation
Online Access:http://dx.doi.org/10.1155/2015/478580
Description
Summary:Duality plays the main role in all mathematical theories. In wave optics based on the concept of “the zero-distance phase front,” duality takes the form of Damien’s theorem and the mirror symmetry between the conic refracting surfaces with the plane zero-distance phase front and the plane refracting surfaces with the conic zero-distance phase front. A systematic study of these dualities has been performed.
ISSN:1687-5869
1687-5877