Mathematical Fundamentals of Modern Linear Optics

Mathematical Fundamentals of Modern Linear Optics

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 princip...

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Main Author: Andrey V. Gitin
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:International Journal of Antennas and Propagation
Online Access:http://dx.doi.org/10.1155/2012/273107
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spelling doaj-f33d20cda60a4065b4c40d9673a3a0352020-11-24T22:33:49ZengHindawi LimitedInternational Journal of Antennas and Propagation1687-58691687-58772012-01-01201210.1155/2012/273107273107Mathematical Fundamentals of Modern Linear OpticsAndrey V. Gitin0Department B3: High Power Lasers, Max-Born-Institute for Nonlinear Optics and Short Pulse Spectroscopy, Max-Born-Straße 2a, 12489 Berlin, GermanyAll 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.http://dx.doi.org/10.1155/2012/273107
collection DOAJ
language English
format Article
sources DOAJ
author Andrey V. Gitin
spellingShingle Andrey V. Gitin
Mathematical Fundamentals of Modern Linear Optics
International Journal of Antennas and Propagation
author_facet Andrey V. Gitin
author_sort Andrey V. Gitin
title Mathematical Fundamentals of Modern Linear Optics
title_short Mathematical Fundamentals of Modern Linear Optics
title_full Mathematical Fundamentals of Modern Linear Optics
title_fullStr Mathematical Fundamentals of Modern Linear Optics
title_full_unstemmed Mathematical Fundamentals of Modern Linear Optics
title_sort mathematical fundamentals of modern linear optics
publisher Hindawi Limited
series International Journal of Antennas and Propagation
issn 1687-5869
1687-5877
publishDate 2012-01-01
description 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.
url http://dx.doi.org/10.1155/2012/273107
work_keys_str_mv AT andreyvgitin mathematicalfundamentalsofmodernlinearoptics
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