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The Application of Stationary Phase to Radio Propagation for Finite Limits of Integration
Author(s) -
Dougherty H. T.
Publication year - 1970
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/rs005i001p00001
Subject(s) - mathematical analysis , dimensionless quantity , phase (matter) , mathematics , directional derivative , fresnel integral , point (geometry) , function (biology) , derivative (finance) , stationary point , physics , stationary phase , optics , geometry , mechanics , quantum mechanics , fresnel diffraction , chemistry , chromatography , evolutionary biology , diffraction , financial economics , economics , biology
The application of the stationary phase method is investigated for a dimensionless line integral encountered in wave propagation. Evaluation of the integral for a first‐order point of stationary phase may be expressed, characteristically, by the Fresnel‐Kirchhoff function or its derivative. A related function is found for the isolation factor required for finite limits of integration. Curves for evaluating this factor, K ( u 2 u 1 ), are presented.