UNIFORM ASYMPTOTICS OF A BESSEL-FUNCTION SERIES OCCURRING IN A TRANSMISSION-LINE PROBLEM

[摘要] Consider the Bessel-function series S(theta) = J(k)(k) + 2-SIGMA(n = 1)(infinity)J(n + k)(k) cos(2n-theta), where 0 less-than-or-equal-to theta less-than-or-equal-to pi and k = i-lambda with real lambda --> infinity. We determine the complete asymptotic expansion of S(theta), uniformly valid in theta. The expansion is obtained by the method of steepest descent applied to a contour integral representation for S(theta). The result is used to establish the high-frequency asymptotics of the linear current density on a thin conducting strip that is part of a transmission line.

[发布日期] 1991-11-18

[关键词] UNIFORM ASYMPTOTIC EXPANSION;BESSEL FUNCTION;METHOD OF STEEPEST DESCENT;LINEAR CURRENT DENSITY;TRANSMISSION LINE