Vertex excited surface waves on one face of a right angled wedge-Reference-Cited by-同舟云学术

Vertex excited surface waves on one face of a right angled wedge

Published:1960 Issue:3 Volume:18 Page:235-243
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Karp S. N.,Karal F. C.

Abstract

The problem of the propagation of electromagnetic waves by a magnetic line dipole source located at the corner of a right angled wedge is considered. It is assumed that an impedance or mixed boundary condition is prescribed on one of the wedge surfaces and that a homogeneous boundary condition is prescribed on the other. The impedance boundary condition is such that surface waves are generated. The amplitude of the surface wave generated is determined. A comparison is made between the magnitude of the surface wave for this problem and that of a magnetic-line dipole source located at the corner of a right angled wedge with the same impedance boundary condition prescribed on both* surfaces. The far field amplitude of the radiated electromagnetic field is also given as an elementary function of the angle of observation.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1960-18-03/S0033-569X-1960-0115596-7/S0033-569X-1960-0115596-7.pdf

Reference7 articles.

1. Diffraction of a skew plane electromagnetic wave by an absorbing right-angled wedge;Karal, Frank C., Jr.;Comm. Pure Appl. Math.,1958

2. S. N. Karp, Two dimensional Green’s function for a right angled wedge under an impedance boundary condition, N. Y. U., Inst. Math. Sci., Div. EM Res. Rept. No. EM-129

3. Vertex excited surface waves on both faces of a right-angled wedge;Karp, Samuel N.;Comm. Pure Appl. Math.,1959

4. Water waves on sloping beaches;Lewy, Hans;Bull. Amer. Math. Soc.,1946

5. W. Magnus and F. Oberhettinger, Formulas and theorems for the special functions of mathematical physics, 2nd ed., Berlin, Springer, 1948

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. Phenomenological theory of multimode surface waves for plane structures;Quarterly of Applied Mathematics;1966

2. A note on diffraction by a right-angled wedge;Mathematical Proceedings of the Cambridge Philosophical Society;1965-01

3. Diffraction of a plane wave by a right angled wedge which sustains surface waves on one face;Quarterly of Applied Mathematics;1962