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Three different kinds of Fraunhofer approximations: 1. Propagation of the field amplitude
Author(s) -
Carter William H.
Publication year - 1988
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/rs023i006p01085
Subject(s) - amplitude , scalar (mathematics) , approximations of π , diffraction , physics , scalar field , radiation , field (mathematics) , radiation pattern , optics , antenna (radio) , mathematics , computational physics , mathematical analysis , computer science , classical mechanics , telecommunications , geometry , pure mathematics
The Fraunhofer approximations as usually used in diffraction, radiation, and antenna theories have some important and very useful differences. This paper examines three kinds of Fraunhofer approximations in applications to the propagation of a scalar field amplitude from sources to detectors. Each of the three approximations is examined to make clear the differences in their conditions for validity and mathematical structure. Some differences in their applications are also discussed.