Abstract
The reflection and transmission coefficients of plane monochromatic waves have several universal properties which do not depend on the type of medium stratification. We begin this chapter with a discussion of the symmetry properties of the transmission coefficient which are retained upon reversion of the direction of wave propagation [6.1].
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O.A. Godin: Modifikatsiya Uravneniya Rasprostraneniya Zvuka v Sloistoi Srede“ (Modification of the equation governing sound propagation in a layered medium) in Akusticheskiye Volny y Okeane (Acoustic waves in the ocean) ed. by I.B. Andreeva, L.M. Brekhovskikh (Nauka, Moscow 1987) pp. 34–40
L.A. Chemov: Zh. Tekn. Fiz. 16, 733–736 (1946)
M.E. Goldstein: Aeroacoustics (McGraw-Hill, New York 1976)
K.P. Scharnhorst: J. Acoust. Soc. Am. 74, 1883–1886 (1983)
L.D. Faddeev: Usp. Mat. Nauk 14, 57–119 (1959)
V. ëerveny, R. Ravindra: Theory of Seismic Head Waves (Univ. Toronto, Toronto 1971)
C.W. Frazier: Geophysics 35, 197–219 (1970)
E.R. Lapwood, J.A. Hudson: Geophys. J. Roy. Astron. Soc. 40, 255–268 (1975)
B.LN. Kennett, NJ. Kerry, J.H. Woodhouse: Goephys. J. Roy. Astron. Soc. 52, 215–229 (1978)
R.K. Bullough, PJ. Caudrey (eds.): Solitons, Topics Curr. Phys. (Springer, Berlin, Heidelberg 1980)
G.L. Lamb, Jr.: Elements of Soliton Theory (Wiley, New York 1980)
L.M. Brekhovskikh: Izv. Akad. Nauk SSSR Ser. Fiz. 13, 505–545 (1949)
E.T. Whittaker, G.N. Watson: A Course of Modern Analysis (Cambridge Univ. Press, Cambridge 1952)
M. Lavrentiev, B. Chabat: Méthodes de la Théorie des Fonctions d’une Variable Complexe, 2nd ed. (Mir, Moscow 1977)
M. Abramovitz, I.A. Stegun (eds.): Handbook of Mathematical Functions with Formulas, Graphs and Tables, Appl. Math. Ser., Vol.55 (National Bureau of Standards, Washington 1964)
L.M. Brekhovskikh: Waves in Layered Media, 2nd ed. (Academic, New York 1980)
W.M. Ewing, W.S. Jardetzky, F. Press: Elastic Waves in Layered Media (McGraw-Hill, New York 1957)
L.B. Felsen, N. Marcuvitz: Radiation and Scattering of Waves (Prentice-Hall, Englewood Cliffs, NJ. 1973)
E. Kamke: Handbook of Ordinary Differential Equations (Chelsea, New York 1971)
W. Kofink: Ann. Phys. (Leipzig) 1, 119–132 (1947)
M. Razavy: J. Acoust. Soc. Am. 58, 956–963 (1975)
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Brekhovskikh, L.M., Godin, O.A. (1990). Universal Properties of the Plane-Wave Reflection and Transmission Coefficients. In: Acoustics of Layered Media I. Springer Series on Wave Phenomena, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-52369-4_6
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DOI: https://doi.org/10.1007/978-3-642-52369-4_6
Publisher Name: Springer, Berlin, Heidelberg
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