AN ALTERNATIE APPROACH TO THE SOLUTION OF A CLASS OF WIENER-HOPF AND RELATED PROBLEMS.
ILLINOIS UNIV URBANA ANTENNA LAB
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A method is presented for solving a class of radiation and diffraction problems which have conventionally been formulated in terms of the Wiener-Hopf approach. The problem is formulated by representating the fields in terms of a modal expansion. The modal expansion for the field in the open regions is characterized by continuous eigenvalues and for the closed regions the fields are representated in terms of the discrete eigenvectors. Matching of the fields to the boundaries and across the aperture results in an equation which is solved by a technique developed in this article. The technique is an extension of the function-theoretic method necessitated by the field representation in the open regions inherent in the problems. The solutions of an open-ended parallel plate waveguide is used to demonstrate the method. Applications to other geometries are indicated. Author
- Numerical Mathematics
- Electricity and Magnetism