Open AccessMathematical Fundamentals of Modern Linear Optics
Author(s) -
A. V. Gitin
Publication year - 2012
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 - 10.1155/2012/273107
Subject(s) - geometrical optics , physical optics , fermat's last theorem , path integral formulation , quantum optics , fourier transform , physics , optics , feynman diagram , gaussian optics , mathematics , quantum , quantum mechanics , paraxial approximation , beam (structure) , discrete mathematics
All known quantum-mechanical approaches to wave and statistical optics are united into a single theory, using Feynman's path integral as a fundamental principle. In short-wave approximations, this principle, the Fourier transformations, and concepts of the theory reproduce Fermat's principle, the Legendre transformations, and concepts of Hamilton's optics and radiometry in a one-to-one fashion
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