Acoustics of Layered Media II: Point Sources and Bounded Beams - Softcover

Softcover

ISBN 10: 3662027771 ISBN 13: 9783662027776

Publisher: Springer, 2014

Synopsis

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.

Edition details

• Publisher: Springer
• Publication date: 2014
• Language: English
• ISBN 10: 3662027771
• ISBN 13: 9783662027776
• Binding: Paperback
• Number of pages: 408
• Editor: Brekhovskikh Leonid M, Godin Oleg