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Self-focusing and other anomalous effects in media with backward waves

Self-focusing and other anomalous effects in media with backward waves 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 http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acoustical Physics Springer Journals

Self-focusing and other anomalous effects in media with backward waves

Acoustical Physics , Volume 49 (2): 3 – Mar 1, 2003

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References (21)

Publisher
Springer Journals
Copyright
2003 MAIK "Nauka/Interperiodica"
ISSN
1063-7710
eISSN
1562-6865
DOI
10.1134/1.1560388
Publisher site
See Article on Publisher Site

Abstract

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

Journal

Acoustical PhysicsSpringer Journals

Published: Mar 1, 2003

Keywords: Acoustics

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