Accession Number : ADA322956
Title : Calculation of the Derivative of the Parabolic Cylinder Function.
Descriptive Note : In-house rept. Apr-Dec 95,
Corporate Author : ROME LAB HANSCOM AFB MA
Personal Author(s) : Shore, Robert A. ; Hansen, Thorkild B.
PDF Url : ADA322956
Report Date : MAY 1996
Pagination or Media Count : 14
Abstract : The numerical evaluation of the derivative of the parabolic cylinder function, D'p(z), is described for the argument z = x exp(-i(pi)/4) and order p = 1/2 + iy, with x and y real. The case is needed for calculating,the currents excited on a parabolic cylinder by a transverse electric plane wave, and for calculating the scattered far field pattern. Numerically accurate and efficient expressions for D'p (z) are presented for each of five regions into which the xy plane is divided.
Descriptors : *DERIVATIVES(MATHEMATICS), ACCURACY, ELECTRIC FIELDS, FAR FIELD, PARTIAL DIFFERENTIAL EQUATIONS, TRANSVERSE WAVES, COMPLEX NUMBERS, APPLIED MATHEMATICS, SPECIAL FUNCTIONS(MATHEMATICS), PLANE WAVES.
Subject Categories : Numerical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE