Abstract
This paper is devoted to the derivation of the differential equations for rays in an inhomogeneous medium which moves with a velocity W(z). The velocity of sound propagation in this medium is assumed to be a function of one variable a(z). The discussion is based on the Snell's generalized law which has been derived by a new method.References
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[8] E. T. KORNHAUSER, Ray theory for moving fluid, JASA, 945-949 (1953).
[9] J. LIGHTHILL, The propagation of sound through moving fluids, J. Sound a Vibr., 24, 471-493 (1972).
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[15] C. H. E. WARREN, A note on the refraction of sound in a moving gas, J. Sound Vibr., 1, 175-178 (1964).
[2] A. BIESTEK, Acoustic explosions in inhomogeneous atmosphere (in Polish), Postępy Astronautyki, 2, 59-72 (1970).
[3] D. I. BLOKHINCEV, Acoustics of a nonhomogeneous moving medium, JASA, 18, 322-328 (1946).
[4] E. H. BARTON, On the refraction of sound by wind, Phil. Mag., 1 (1901).
[5] C. I. CHESSEL, On three-dimensional acoustic-ray tracing in an inhomogeneous anisotroping atmosphere using Hamiltons equation, JASA, 53, 83-87 (1973).
[6] S. FUJIWHARA, On the abnormal propagation of sound waves in the atmosphere, Bull. Centr. Met. Obs. Tokyo, 2 (1916).
[7] J. HASELGROVE, Ray theory and a new method for ray tracing, Rep. of Conf. on Physics of Ionosphere, London Physical Society, London 1954.
[8] E. T. KORNHAUSER, Ray theory for moving fluid, JASA, 945-949 (1953).
[9] J. LIGHTHILL, The propagation of sound through moving fluids, J. Sound a Vibr., 24, 471-493 (1972).
[10] E. A. MILNE, Sound waves in the atmosphere, Phil. Mag., 17, 96-114 (1921).
[11] R. MAKAREWICZ, The equation of acoustic ray in inhomogeneous moving medium (in Polish), Proceedings of 20th Open Seminar on Acoustics. Part I, 194-196, Poznań 1973.
[12] L. K. SZUBERT, Numerical study of sound refraction by jet flow, JASA, 51, 439-446 (1972).
[13] R. J. THOMPSON, Ray theory for an inhomogeneous moving medium, JASA, 51, 1675-1682 (1972).
[14] P. UGINCIUS, Ray acoustic and Fermat's principle in a moving inhomogeneous medium, JASA, 51, 1759-1763 (1972).
[15] C. H. E. WARREN, A note on the refraction of sound in a moving gas, J. Sound Vibr., 1, 175-178 (1964).
