Preview
Unable to display preview. Download preview PDF.
References
L. Brekhovskikh, Waves in Layered Media, Academic Press, New York, 1960.
W. Magnus and F. Oberhettinger, Formulas and Theorems for the Functions of Mathematical Physics, Chelsea Publishing Company, New York,1954.
I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products, Academic Press, New York, 1965.
M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, Nat. Bur. St., Appl. Math. Series, 55, 1964.
P. M. Morse and H. Feshbach, Methods of Theoretical Physics, Vol. II, McGrawHill Book Company, Inc., New York, 1953.
R. Lynn and J. B. Keller, Uniform asymptotic solutions of second order linear ordinary differential equations with turning points, Comm. on Pure and Appl. Math., 23, 1970, pp. 379–408.
R. E. Langer, The asymptotic solutions of ordinary linear differential equations of the second order, with special reference to a turning point, Trans. Amer. Math. Soc., 67, 1949, pp. 461–490.
A. Erdèlyi, Asymptotic Expansions, Dover Publications,Inc., New York, 1956.
D. V. Batorsky and L. B. Felsen, Ray-optical calculation of modes exited by sources and scatterers in a weakly inhomogeneous duct, Radio Science, 6, 1971, pp. 911–923.
D. S. Ahluwalia, R. M. Lewis and J. Boersma, Uniform asymptotic theory of diffraction by a plane screen, SIAM J. Appl. Math., 16, 1968, pp. 783–807.
G. S. S. Avila and J. B. Keller, The high-frequency asymptotic field of a point source in an inhomogeneous medium, 16, 1963, pp. 363–381.
W. M. Ewing, W. S. Jardetzky and F. Press, Elastic waves in layered media, McGraw-Hill Book Company, Inc., New York, 1957.
L. B. Felsen and N. Marcuvitz, Radiation and Scattering of waves, Prentice Hall, New Jersey, 1973.
J. B. Keller and R. M. Lewis, Asymptotic theory of wave propagation and diffraction, John Wiley, New York (to be published).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1977 Springer-Verlag
About this chapter
Cite this chapter
Ahluwalia, D.S., Keller, J.B. (1977). Exact and asymptotic representations of the sound field in a stratified ocean. In: Keller, J.B., Papadakis, J.S. (eds) Wave Propagation and Underwater Acoustics. Lecture Notes in Physics, vol 70. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-08527-0_2
Download citation
DOI: https://doi.org/10.1007/3-540-08527-0_2
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-08527-0
Online ISBN: 978-3-540-36984-4
eBook Packages: Springer Book Archive