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On the theory of wave propagation through a concentrically stratified troposphere with a smooth profile

1960; The National Institute of Standards and Technology; Volume: 64D; Issue: 5 Linguagem: Inglês

10.6028/jres.064d.056

2376-5763

H. Bremmer,

Arctic and Antarctic ice dynamics

The W.K .B. approximation for t he solu tion of t he height-gain differen tial equation for a curved stratifi ed troposphere is di sc ussed in detail.The approximation depends mainly 011 a variable Ut(r) which ca n be interpreted as the height dependent contribution of the phase for a fi eld solu t ion obtain ed by separation of variables.An expansion of Ut(?) with the aid of partial in tegrations lead s to fur ther appl'oxi mations which facilitate the d etermin ation of the eigenva lu es, and of the amplitudes of t he modes connected with t he propagation problem.The iJlfluence of the r efract ive-index profile, jf assu med as s mooth, then ap pear s t o be restric ted to a dependence on the surface valu es of this index and of its gradient insofar as propagation over the grou nd is concerned.Furt ller, all height e fl' ects of elevated an t en nas can be ex pressed in term s of the di stance to the correspond ing radio hori zon .Thi s rcsults in simple relations between t h e fi elds connected with two different refract i ve-index p rofil cs, provi ded botll pr'ofiles coin cide near th e earth's surface.'Figmcs io brackets indicate the literature references at the enc! of this paper.