عنوان

Acoustics of Layered Media II :

3662027763

9783662027769

b579238

Acoustics of Layered Media II :

[Book]

Point Sources and Bounded Beams

by Leonid M. Brekhovskikh, Oleg A. Godin.

Berlin, Heidelberg

Springer Berlin Heidelberg

1992

(xi, 395 pages)

Springer series on wave phenomena, 10.

1. Reflection and Refraction of Spherical Waves --; 2. Reflection of Bounded Wave Beams --; 3. The Lateral Wave --; 4. Exact Theory of the Sound Field in Inhomogeneous Moving Media --; 5. High Frequency Sound Fields --; 6. The Field at and near a Caustic --; 7. Wave Propagation in a Range Dependent Waveguide --; Appendix. The Reference Integrals Method --; A.1 The Method of Steepest Descent --; A.1.1 Integrals over an Infinite Contour --; A.1.2 Integrals over Semi-infinite Contours --; A.1.3 Integrals with Finite Limits --; A.1.4 The Contribution of Branch Points --; A.1.5 Integrals with Saddle Points of Higher Orders --; A.1.6 Several Saddle Points --; A.1.7 Concluding Remarks --; A.2 Integrals over a Real Variable --; A.2.1 Asymptotics of Laplace Integrals --; A.2.2 Stationary Phase Method. Asymptotics of Fourier Integrals --; A.2.3 Asymptotics of Multiple Fourier Integrals --; A.2.4 Asymptotics of Multiple Laplace Integrals --; A.2.5 Contributions of Critical Points on a Boundary --; A.3 Uniform Asymptotics of Integrals --; A.3.1 The Concept of Uniform Asymptotics --; A.3.2 A Pole and a Simple Stationary Point --; A.3.3 A Single Simple Stationary Point and a Branch Point --; A.3.4 Semi-infinite Contours --; A.3.5 Other Cases --; A.3.6 Concluding Remarks --; References.

The theory of propagation of spherical waves in layered media is presented in this companion volume to the successful Acoustics of Layered Media I, which covers plane wave propagation. Acad. Brekhovskikh and Dr. Godin have been mathematically rigorous, but have kept a constant eye on the physical usefulness and logic of the theory, in application to both natural (e.g. geological) and manmade structures. Both moving and stationary media, discretely and continuously layered, are treated for various types of acoustic wave sources. Detailed appendices provide further background on the mathematical methods.

Acoustics.

Physical geography.

Physics.

by Leonid M. Brekhovskikh, Oleg A. Godin.

Leonid M Brekhovskikh

Oleg A Godin

[Book]

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