The diffraction of a cylindrical pulse by a half-plane
Author:
Robert D. Turner
Journal:
Quart. Appl. Math. 14 (1956), 63-73
MSC:
Primary 81.0X
DOI:
https://doi.org/10.1090/qam/78911
MathSciNet review:
78911
Full-text PDF Free Access
References |
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Additional Information
- A. Sommerfeld, Mathematische Theorie der Diffraction, Math. Ann. 47 (1896), no. 2-3, 317–374 (German). MR 1510907, DOI https://doi.org/10.1007/BF01447273
H. M. Macdonald, Electromagnetism, G. Bell & Sons, Ltd., London, 1934, p. 79
- Joseph B. Keller and Albert Blank, Diffraction and reflection of pulses by wedges and corners, Comm. Pure Appl. Math. 4 (1951), 75–94. MR 43714, DOI https://doi.org/10.1002/cpa.3160040109
- Irvin Kay, The diffraction of an arbitrary pulse by a wedge, Comm. Pure Appl. Math. 6 (1953), 419–434. MR 58097, DOI https://doi.org/10.1002/cpa.3160060307
- Balth. van der Pol and H. Bremmer, Operational Calculus, Based on the Two-Sided Laplace Integral, Cambridge, at the University Press, 1950. MR 0038476
- Wilhelm Magnus and Fritz Oberhettinger, Formulas and Theorems for the Special Functions of Mathematical Physics, Chelsea Publishing Company, New York, N.Y., 1949. Translated by John Wermer. MR 0029000
- G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, Cambridge, England; The Macmillan Company, New York, 1944. MR 0010746
- G. A. Grünberg, Eine Methode zur Lösung einer bestimmten Klasse elektrostatischer un verwandter Probleme, Acad. Sci. USSR. J. Phys. 3 (1940), 401–416 (German). MR 0004181
M. J. Kontorowich and N. N. Lebedev, On a method of solution of some problems of the diffraction theory, J. Phys., USSR, 1, 229 (1939)
- S. N. Karp, Wiener-Hopf techniques and mixed boundary value problems, Comm. Pure Appl. Math. 3 (1950), 411–426. MR 42592, DOI https://doi.org/10.1002/cpa.3160030405
- Ruel V. Churchill, Modern Operational Mathematics in Engineering, McGraw-Hill Book Co., Inc., New York, 1944. MR 0010237
A. Sommerfeld, Mathematische Theorie der Diffraktion, Math. Ann. 47, 317 (1896)
H. M. Macdonald, Electromagnetism, G. Bell & Sons, Ltd., London, 1934, p. 79
J. B. Keller and A. Blank, Diffraction and reflection of pulses by wedges and corners, Communs. in Pure and Appl. Math. 4, 75 (1951)
I. Kay, The diffraction of an arbitrary pulse by wedge, Communs. in Pure and Appl. Math. 6, 419 (1953)
B. van der Pol and H. Bremmer, Operational calculus based on the two-sided Laplace integral, Cambridge University Press, 1950
W. Magnus and F. Oberhettinger, Formulas and theorems for the special functions of mathematical physics, Chelsea, New York, 1949
G. N. Watson, A treatise on the theory of Bessel functions, Second Ed., Macmillan, New York, 1948
G. A. Grünberg, Eine Methode zur Lösung einer bestimmten Klasse elektrostatischer und verwandter Probleme, J. Phys., USSR, 3, 401 (1940)
M. J. Kontorowich and N. N. Lebedev, On a method of solution of some problems of the diffraction theory, J. Phys., USSR, 1, 229 (1939)
S. N. Karp, Wiener-Hopf techniques and mixed boundary value problems, Communs. in Pure and Appl. Math. 3, 411 (1950)
R. V. Churchill, Modern operational mathematics in engineering, McGraw-Hill, New York, 1944
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Article copyright:
© Copyright 1956
American Mathematical Society
