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Focusing of Waves in Ducts
Author(s) -
Sodha M. S.,
Ghatak A. K.,
Tewari D. P.,
Dubey P. K.
Publication year - 1972
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/rs007i011p01005
Subject(s) - dimensionless quantity , physics , diffraction , constant (computer programming) , propagation constant , geometrical optics , electromagnetic radiation , gaussian , function (biology) , optics , gaussian beam , dielectric , field (mathematics) , wave propagation , beam (structure) , mathematical analysis , computational physics , mathematics , quantum mechanics , evolutionary biology , computer science , biology , programming language , pure mathematics
This paper presents an investigation of the propagation of cylindrical waves (the field being independent of x) along the z direction inducts described bywhere c(y, z) is the wave velocity, C 0 and ϵ 0 are constants, ϵ 2 (z) is an arbitrary function of z, and ϵ corresponds to the dielectric constant for electromagnetic waves. It has been shown that the intensity A 0 2 of the wave is in general given bywhere E 0 is a constant, y o is a constant, F is an arbitrary function of [y/y o ƒ(z)L], and ƒ(z) is a dimensionless beam‐width parameter given byin the geometrical optics approximation. The nature of the variations of ƒ with z has been discussed for some simple profiles of ϵ z (z) in the geometrical optics approximation; diffraction has also been taken into account when the beam ( F ) is Gaussian.