Acoustics of Layered Media I

1. Front Matter

   Pages I-X

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2. Basic Equations for Wave Processes in Fluids and Solids

   • Leonid M. Brekhovskikh, Oleg A. Godin

   Pages 1-16

3. Plane Waves in Discretely Layered Fluids

   • Leonid M. Brekhovskikh, Oleg A. Godin

   Pages 17-40

4. Monochromatic Plane-Wave Reflection from Continuously Layered Media

   • Leonid M. Brekhovskikh, Oleg A. Godin

   Pages 41-86

5. Plane-Wave Reflection from the Boundaries of Solids

   • Leonid M. Brekhovskikh, Oleg A. Godin

   Pages 87-112

6. Reflection of Sound Pulses

   • Leonid M. Brekhovskikh, Oleg A. Godin

   Pages 113-125

7. Universal Properties of the Plane-Wave Reflection and Transmission Coefficients

   • Leonid M. Brekhovskikh, Oleg A. Godin

   Pages 126-143

8. Acoustic Waves in Absorbing Anisotropic Media

   • Leonid M. Brekhovskikh, Oleg A. Godin

   Pages 144-164

9. Geometrical Acoustics. WKB Approximation

   • Leonid M. Brekhovskikh, Oleg A. Godin

   Pages 165-178

10. The Sound Field in the Case of Turning Horizons and Resonance Interaction with a Flow

    • Leonid M. Brekhovskikh, Oleg A. Godin

    Pages 179-204

11. Sound Reflection from a Medium with Arbitrarily Varying Parameters

    • Leonid M. Brekhovskikh, Oleg A. Godin

    Pages 205-225

12. Back Matter

    Pages 227-240

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This monograph is devoted to the systematic presentation of the theory of sound­ wave propagation in layered structures. These structures can be man-made, such as ultrasonic filters, lenses, surface-wave delay lines, or natural media, such as the ocean and the atmosphere, with their marked horizontal stratification. A related problem is the propagation of elastic (seismic) waves in the earth's crust These topics have been treated rather completely in the book by L. M. Brek­ hovskikh, Waves in Layered Media, the English version of the second edition of which was published by Academic Press in 1980. Due to progress in experimental and computer technology it has become possible to analyze the influence of factors such as medium motion and density stratification upon the propagation of sound waves. Much attention has been paid to propagation theory in near-stratified media, Le. , media with small deviations from strict stratification. Interesting results have also been obtained in the fields of acoustics which had been previously considered to be "completely" developed. For these reasons, and also because of the inflow of researchers from the related fields of physics and mathematics, the circle of persons and research groups engaged in the study of sound propagation has rather expanded. Therefore, the appearance of a new summary review of the field of acoustics of layered media has become highly desirable. Since Waves in Layered Media became quite popular, we have tried to retain its positive features and general structure.

• Ocean
• acoustics
• electromagnetic wave
• material
• ultrasound

"The two books are characterized by scholasticity in the analytical treatment. The analysis is rigorous and complete. This could be attributed to the 'Russian school' where both authors belong to, offering an excellent framework for the study of problems of Mathematical Physics. ...In general, the books are considered valuable for researchers interested in the mathematical modeling of wave phenomena as they provide the readers with a comprehensive coverage of practically all the analytical aspects of the forward problem of acoustic wave propagation. In addition, throughout the books, they will meet many references to non-standard issues, as the propogation in moving media and energy conservation." Michael Taroudakis, Acustica United with Acta Acus, 2000/86/6

• P.P. Shirshov Institute of Oceanology, USSR Academy of Sciences, Moscow, USSR

  Leonid M. Brekhovskikh, Oleg A. Godin

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