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
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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.
- Frank C. Karal Jr. and Samuel N. Karp, Diffraction of a skew plane electromagnetic wave by an absorbing right-angled wedge, Comm. Pure Appl. Math. 11 (1958), 495–533. MR 99202, DOI https://doi.org/10.1002/cpa.3160110404
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
- Samuel N. Karp and Frank C. Karal Jr., Vertex excited surface waves on both faces of a right-angled wedge, Comm. Pure Appl. Math. 12 (1959), 435–455. MR 108210, DOI https://doi.org/10.1002/cpa.3160120304
- Hans Lewy, Water waves on sloping beaches, Bull. Amer. Math. Soc. 52 (1946), 737–775. MR 22134, DOI https://doi.org/10.1090/S0002-9904-1946-08643-7
W. Magnus and F. Oberhettinger, Formulas and theorems for the special functions of mathematical physics, 2nd ed., Berlin, Springer, 1948
- J. J. Stoker, Surface waves in water of variable depth, Quart. Appl. Math. 5 (1947), 1–54. MR 22135, DOI https://doi.org/10.1090/S0033-569X-1947-22135-3
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
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
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
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)
H. Lewy, Waves on sloping beaches, Bull. AMS 52, 737 (1946)
W. Magnus and F. Oberhettinger, Formulas and theorems for the special functions of mathematical physics, 2nd ed., Berlin, Springer, 1948
J. J. Stoker, Surface waves in water of variable depth, Quart. Appl. Math. 5, 1 (1947)
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
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Article copyright:
© Copyright 1960
American Mathematical Society
