A Simple Proof of Damien’s Theorem and Duality in Theory of the Zero-Distance Phase Front
Author(s) -
A. V. Gitin
Publication year - 2015
Publication title -
international journal of antennas and propagation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.282
H-Index - 37
eISSN - 1687-5877
pISSN - 1687-5869
DOI - 10.1155/2015/478580
Subject(s) - conic section , duality (order theory) , zero (linguistics) , phase (matter) , plane (geometry) , symmetry (geometry) , front (military) , mathematics , physics , geometry , optics , mathematical analysis , theoretical physics , pure mathematics , quantum mechanics , philosophy , linguistics , meteorology
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
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