Surface wave incidence on a plane structure having a multi-mode discontinuity in impedance

Author:

Morgan Richard C.,Karp Samuel N.

Abstract

The phenomenological theory of multi-mode surface wave propagation is applied to a plane structure having a multi-mode discontinuity in impedance. The resulting boundary-value problem is reduced to the solution of a Wiener–Hopf equation whose factorization is given in terms of the factorization that occurred in the one-mode case. Despite the complexity of the solution, the magnitudes of the surface wave excitation coefficients are elementary functions, as is the cylindrical power flow.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Reference14 articles.

1. S. N. Karp and F. C. Karal, Phenonenological theory of muliti-mode surface wave structures, in Quasi-optics symposium, Brooklyn Polytechnic Institute, John Wiley, New York, 1964.

2. F. C. Karal and S. N. Karp, Phenomenological theory of multi-mode surface waves for plane structures, Res. Rep. EM-198, Courant Institute of Mathematical Sciences, New York University, New York, 1964

3. condensed version, Quart. Appl. Math. 24, 239-247 (1966)

4. R. C. Morgan, S. N. Karp, and F. C. Karal, Solution to the phenomenological problem of a magnetic line source above a plane structure that supports N excited modes, SIAM J. Appl. Math. 15, 1363–1377 (1967)

5. S. N. Karp and F. C. Karal, Generalized impedance boundary conditions with applications to surface wave structures, in Proc. URSI, Comm. VI Conference, Delft, The Netherlands, 1965.

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Multi-mode cylindrical surface wave excitation;International Journal of Engineering Science;1978-01

2. Multi-mode surface wave phenomena;International Journal of Engineering Science;1975-07

3. Multi-Mode Surface Wave Diffraction by a Wedge;SIAM Journal on Applied Mathematics;1974-05

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