Acoustics of Layered Media II [E-Book] : Point Sources and Bounded Beams / by Leonid M. Brekhovskikh, Oleg A. Godin.
This is the sequel to our book Acoustics of Layered Media I: Plane and Quasi Plane Waves (Springer Ser. Wave Phenom. , Vol. 5). Taken together, these two monographs present a systematic exposition of the theory of sound propagation in inhomogeneous media, which starts from first principles and incl...
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Full text |
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Personal Name(s): | Brekhovskikh, Leonid M., author |
Godin, Oleg A., author | |
Imprint: |
Berlin, Heidelberg :
Springer,
1992
|
Physical Description: |
XI, 395 p. online resource. |
Note: |
englisch |
ISBN: |
9783662027769 |
DOI: |
10.1007/978-3-662-02776-9 |
Series Title: |
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Springer Series on Wave Phenomena ;
10 |
Subject (LOC): |
- 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.