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

Authors:
S. N. Karp and F. C. Karal Jr.

Journal:
Quart. Appl. Math. **18** (1960), 235-243

MSC:
Primary 78.00

DOI:
https://doi.org/10.1090/qam/115596

MathSciNet review:
115596

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.

**[1]**F. C. Karal and S. N. Karp,*Diffraction of a skew plane electromagnetic wave by an absorbing right angled wedge*, Communs. Pure Appl. Math.**11**, No. 4, (Nov. 1958); also, N. Y. U., Inst. Math. Sci. Div. EM Research, Research Rept. No. EM-111, Feb. 1958 MR**0099202****[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]**S. N. Karp and F. C.*Karal, Surface waves on a right angled wedge*, N. Y. U., Inst. Math. Sci., Div. EM Res., Research Rept. EM-116, Aug. 1958. Condensed version: 1958 IRE Wescon Convention Record, Part I, 101-103, Communs. Pure Appl. Math.**12**, 3 (1959) (amended title:*Vertex excited surface waves on both faces of a right angled wedge*) MR**0108210****[4]**H. Lewy,*Waves on sloping beaches*, Bull. AMS**52**, 737 (1946) MR**0022134****[5]**W. Magnus and F. Oberhettinger,*Formulas and theorems for the special functions of mathematical physics*, 2nd ed., Berlin, Springer, 1948**[6]**J. J. Stoker,*Surface waves in water of variable depth*, Quart. Appl. Math.**5**, 1 (1947) MR**0022135****[7]**F. C. Karal and S. N. Karp,*Diffraction of a plane wave by a right angled wedge which sustains surface waves on one face*, N. Y. U., Inst. Math. Sci., Div. EM Res., Research Rept. No. EM-123, Jan. 1959

Retrieve articles in *Quarterly of Applied Mathematics*
with MSC:
78.00

Retrieve articles in all journals with MSC: 78.00

Additional Information

DOI:
https://doi.org/10.1090/qam/115596

Article copyright:
© Copyright 1960
American Mathematical Society