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Acoustical Physics, Vol. 49, No. 2, 2003, pp. 236–238. Translated from AkusticheskiÏ Zhurnal, Vol. 49, No. 2, 2003, pp. 284–286. Original Russian Text Copyright © 2003 by Byrdin. LETTER TO THE EDITOR Self-Focusing and Other Anomalous Effects in Media with Backward Waves V. M. Byrdin Ul. Éngel’s 134-6, Taganrog, Rostov oblast, 347900 Russia e-mail: V_M_Byrdin@mail.ru Received April 4, 2002 1. The possibility of an anomalous negative refrac- Statement 1. The first and second modified Snell– tion of a backward wave because of the opposition of Descartes laws expressed in terms of the projections of its phase and group velocities was predicted for the wave vectors and group velocities onto the boundary first time by L.I. Mandel’shtam in the 1940s [1, 2]. [onto the z axis of the x0z incidence plane (Fig. 1)] and Since that time, investigations of backward waves and onto the normal (the x coordinate) have the forms their practical applications have been carried out in k = k , U /U < 0 (the first law) and k = refl, Z inc, Z refl, X inc, X refr, Z many fields of science and technology, in Russia and k , U /U > 0 (the second
Acoustical Physics – Springer Journals
Published: Mar 1, 2003
Keywords: Acoustics
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