Mathematical aspects of the problem of acoustic waves in a plane stratified medium
Author:
G. M. Wing
Journal:
Quart. Appl. Math. 19 (1962), 309-319
MSC:
Primary 76.44
DOI:
https://doi.org/10.1090/qam/144580
MathSciNet review:
144580
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Additional Information
- C. L. Pekeris, Theory of propagation of sound in a half-space of variable sound velocity under conditions of formation of a shadow zone, J. Acoust. Soc. Amer. 18 (1946), 295–315. MR 18083, DOI https://doi.org/10.1121/1.1916366
C. L. Pekeris, Theory of propagation of explosive sound in shallow water, Geol. Soc. Amer. Memoir 27, 1948
- Isadore Rudnick, The propagation of an acoustic wave along a boundary, J. Acoust. Soc. Amer. 19 (1947), 348–356; errata, 20, 149 (1948). MR 23697, DOI https://doi.org/10.1121/1.1916490
- N. A. Haskell, Asymptotic approximation for the normal modes in sound channel wave propagation, J. Appl. Phys. 22 (1951), 157–168. MR 43672
- Ian N. Sneddon, Fourier Transforms, McGraw-Hill Book Co., Inc., New York, Toronto, London, 1951. MR 0041963
- G. N. Watson, A treatise on the theory of Bessel functions, Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1995. Reprint of the second (1944) edition. MR 1349110
- E. C. Titchmarsh, The theory of functions, Oxford University Press, Oxford, 1958. Reprint of the second (1939) edition. MR 3155290
H. Lamb, On the propagation of tremors over the surface of an elastic solid, Phil. Trans. Roy. Soc. 203, 1 (1904)
C. L. Pekeris, Theory of propagation of sound in a half space of variable sound velocity, J. Acoust. Soc. Amer. 18, 295 (1946)
C. L. Pekeris, Theory of propagation of explosive sound in shallow water, Geol. Soc. Amer. Memoir 27, 1948
I. Rudnick, The propagation of an acoustic wave along a boundary, J. Acoust. Soc. Amer. 18, 348 (1947)
N. A. Haskell, Asymptotic approximation for the normal modes in sound channel wave propagation, J. Appl. Phys. 22, 157 (1951)
I. N. Sneddon, Fourier transforms, McGraw-Hill, New York, 1951
G. N. Watson, A treatise on the theory of Bessel functions, Cambridge Press, 1958
E. C. Titchmarsh, The Theory of functions, Oxford Press, 1952
H. Lamb, On the propagation of tremors over the surface of an elastic solid, Phil. Trans. Roy. Soc. 203, 1 (1904)
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Article copyright:
© Copyright 1962
American Mathematical Society
