POLE CONTRIBUTIONS TO ELECTROMAGNETIC FIELDS IN THE LIGHT OF A MODIFIED SADDLE POINT TECHNIQUE,
Abstract
Saddle point techniques have been used for many years to evaluate integral transforms that arise in problemf electromagnetic theory. When a pole of the integrand is close to the saddle point, as in the case of the Sommerfeld pole, one of several available modified saddle point techniques must be used. When a pole is present in the integrand, such as that corresponding to a leaky or slow wave, the approximation in common use is to take the first saddle point term obtained by ignoring the pole, plus a residue term if the pole in question has been captured in the deformation of the original path of integration. This approximation gives rise to a diagram for the pole contribution to the total solution which is present only in the wedge shaped region defined by the definition angle and the horizontal. Though this diagram has been shown to be useful for some cases, it has not as yet been clarified just when this approximation is valid. Thus it is felt that it is interesting and useful to provide such clarification. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1963
- Accession Number
- AD0427361
Entities
People
- Akira Ishimaru
- Gary D Bernard
Organizations
- University of Washington