Accuracy tests for high frequency asymptotic solutions
Abstract
Three procedures for evaluating the accuracy of an asymptotic solution by examining its effect on satisfaction of boundary conditions are presented. Two of the procedures are suitable for assessing the accuracy of asymptotic solutions which give the surface fields of radiating or scattering bodies. Their use is illustrated by applying the procedures to proposed solutions to the problem of a magnetic dipole radiating on an infinitely long, perfectly conducting circular cylinder. The third procedure is used to evaluate the accuracy of asymptotic solutions that give the far field from a scattering or radiating body. Its use is illustrated by application to a proposed solution for the problem of scattering of an incident scalar wave by the vertex of an acoustically soft quarter-plane. In addition, two of the proposed tests can be used as an iterative equation, offering the possibility of systematic improvement of a proposed solution.
- Publication:
-
Ph.D. Thesis
- Pub Date:
- February 1979
- Bibcode:
- 1979PhDT........45T
- Keywords:
-
- Approximation;
- Asymptotic Methods;
- Electromagnetic Fields;
- High Frequencies;
- Wave Scattering;
- Accuracy;
- Acoustic Scattering;
- Far Fields;
- Iterative Solution;
- Electronics and Electrical Engineering