Calculation of the Derivative of the Parabolic Cylinder Function.
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1996
- Accession Number
- ADA322956
Entities
People
- Robert A. Shore
- Thorkild B. Hansen
Organizations
- Rome Laboratory