MAthematica (Trademark) and the Method of Steepest Descents. Part 2

Abstract

Mathematical is a symbolic manipulator with graphical capabilities. During the fall 1990 semester, I used Mathematical on my NeXT workstation to create graphics for teaching the method of steepest descents. This required level curve plots and surface plots for the real or imaginary part of functions of a complex variable. By the end of this topic in the course, I was doing near- research-level analysis of complex valued functions. The response of my class was also very positive. In Part I of this paper, I described some of the more elementary examples presented in that class. Here, I describe the application of the technique to the problem of scattering by a half plane, including the analysis of the exponent that leads to refracted and evanescent waves in a layered medium.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1992
Accession Number
ADA252502

Entities

People

  • Norman Bleistein

Organizations

  • Colorado School of Mines

Tags

Communities of Interest

  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Acoustic Waves
  • Complex Variables
  • Computer Graphics
  • Computer Science
  • Computers
  • Conformal Mapping
  • Evanescent Waves
  • Frequency
  • Graphics
  • Integrals
  • Mathematics
  • New York
  • Numbers
  • Square Roots
  • Tools
  • Wave Phenomena
  • Waves

Readers

  • Calculus or Mathematical Analysis
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Research Science/Academic Research