Rays, Waves, and Scattering : : Topics in Classical Mathematical Physics /

Rays, Waves, and Scattering : : Topics in Classical Mathematical Physics / / John A. Adam.

This one-of-a-kind book presents many of the mathematical concepts, structures, and techniques used in the study of rays, waves, and scattering. Panoramic in scope, it includes discussions of how ocean waves are refracted around islands and underwater ridges, how seismic waves are refracted in the e...

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Superior document:Title is part of eBook package: De Gruyter Princeton Series in Applied Mathematics eBook-Package
VerfasserIn:
Adam, John A.,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2017]
©2017
Year of Publication:2017
Language:English
Series:Princeton Series in Applied Mathematics ; 56
Online Access:
Physical Description:1 online resource (616 p.) :; 126 line illus.
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019 |a (OCoLC)984992698 
020 |a 9781400885404 
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245 1 0 |a Rays, Waves, and Scattering :  |b Topics in Classical Mathematical Physics /  |c John A. Adam. 
264 1 |a Princeton, NJ :   |b Princeton University Press,   |c [2017] 
264 4 |c ©2017 
300 |a 1 online resource (616 p.) :  |b 126 line illus. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
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490 0 |a Princeton Series in Applied Mathematics ;  |v 56 
505 0 0 |t Frontmatter --   |t Contents --   |t Preface --   |t Acknowledgments --   |t Chapter 1. Introduction --   |t Part I. Rays --   |t Chapter 2. Introduction to the "Physics" of Rays --   |t Chapter 3. Introduction to the Mathematics of Rays --   |t Chapter 4. Ray Optics: The Classical Rainbow --   |t Chapter 5. An Improvement over Ray Optics: Airy's Rainbow --   |t Chapter 6. Diffraction Catastrophes --   |t Chapter 7. Introduction to the WKB(J) Approximation: All Things Airy --   |t Chapter 8. Island Rays --   |t Chapter 9. Seismic Rays --   |t Part II. Waves --   |t Chapter 10. Elastic Waves --   |t Chapter 11. Surface Gravity Waves --   |t Chapter 12. Ocean Acoustics --   |t Chapter 13. Tsunamis --   |t Chapter 14. Atmospheric Waves --   |t Part III. Classical Scattering --   |t Chapter 15. The Classical Connection --   |t Chapter 16. Gravitational Scattering --   |t Chapter 17. Scattering of Surface Gravity Waves by Islands, Reefs, and Barriers --   |t Chapter 18. Acoustic Scattering --   |t Chapter 19. Electromagnetic Scattering: The Mie Solution --   |t Chapter 20. Diffraction of Plane Electromagnetic Waves by a Cylinder --   |t Part IV. Semiclassical Scattering --   |t Chapter 21. The Classical-to-Semiclassical Connection --   |t Chapter 22. The WKB(J) Approximation Revisited --   |t Chapter 23. A Sturm-Liouville Equation: The Time-Independent One-Dimensional Schrödinger Equation --   |t Part V. Special Topics in Scattering Theory --   |t Chapter 24. The S-Matrix and Its Analysis --   |t Chapter 25. The Jost Solutions: Technical Details --   |t Chapter 26. One-Dimensional Jost Solutions: The S-Matrix Revisited --   |t Chapter 27. Morphology-Dependent Resonances: The Effective Potential --   |t Chapter 28. Back Where We Started --   |t Appendices --   |t Bibliography --   |t Index 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
520 |a This one-of-a-kind book presents many of the mathematical concepts, structures, and techniques used in the study of rays, waves, and scattering. Panoramic in scope, it includes discussions of how ocean waves are refracted around islands and underwater ridges, how seismic waves are refracted in the earth's interior, how atmospheric waves are scattered by mountains and ridges, how the scattering of light waves produces the blue sky, and meteorological phenomena such as rainbows and coronas.Rays, Waves, and Scattering is a valuable resource for practitioners, graduate students, and advanced undergraduates in applied mathematics, theoretical physics, and engineering. Bridging the gap between advanced treatments of the subject written for specialists and less mathematical books aimed at beginners, this unique mathematical compendium features problems and exercises throughout that are geared to various levels of sophistication, covering everything from Ptolemy's theorem to Airy integrals (as well as more technical material), and several informative appendixes.Provides a panoramic look at wave motion in many different contextsFeatures problems and exercises throughoutIncludes numerous appendixes, some on topics not often coveredAn ideal reference book for practitionersCan also serve as a supplemental text in classical applied mathematics, particularly wave theory and mathematical methods in physics and engineeringAccessible to anyone with a strong background in ordinary differential equations, partial differential equations, and functions of a complex variable 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) 
650 0 |a Mathematical physics. 
650 7 |a MATHEMATICS / Applied.  |2 bisacsh 
653 |a Airy approximation. 
653 |a Airy functions. 
653 |a Airy integral. 
653 |a Airy theory. 
653 |a Airy wavefront. 
653 |a Alexander's dark band. 
653 |a Bessel functions. 
653 |a Earth. 
653 |a Fermat's principle. 
653 |a Fresnel integrals. 
653 |a Hamilton's principle. 
653 |a Hamilton-Jacobi equation. 
653 |a Hamilton-Jacobi theory. 
653 |a Hamiltonian. 
653 |a Hooke's law. 
653 |a Kepler's laws of planetary motion. 
653 |a Lagrangian. 
653 |a Liouville transformation. 
653 |a Love waves. 
653 |a Navier equations. 
653 |a Ptolemy's theorem. 
653 |a Rayleigh scattering. 
653 |a Schrödinger equation. 
653 |a Sir George Biddle Airy. 
653 |a Snell's laws. 
653 |a Taylor-Goldstein equation. 
653 |a WKB(J) approximation. 
653 |a Wiechert-Herglotz inverse problem. 
653 |a acoustic wave propagation. 
653 |a action. 
653 |a angle of minimum deviation. 
653 |a applied mathematics. 
653 |a atmospheric waves. 
653 |a billow clouds. 
653 |a boundary-value problem. 
653 |a buoyancy waves. 
653 |a caustics. 
653 |a classical mechanics. 
653 |a classical wave equation. 
653 |a colors. 
653 |a complex plane. 
653 |a constant phase lines. 
653 |a contours. 
653 |a corona. 
653 |a currents. 
653 |a cusp catastrophes. 
653 |a deep water waves. 
653 |a differential equations. 
653 |a diffraction catastrophes. 
653 |a diffraction. 
653 |a dispersion relations. 
653 |a dispersion. 
653 |a divergence problem. 
653 |a earthquakes. 
653 |a eikonal equation. 
653 |a elastic solid. 
653 |a elastic waves. 
653 |a elementary mathematics. 
653 |a equations of motion. 
653 |a fluid equations. 
653 |a fold catastrophes. 
653 |a free surface. 
653 |a geometric wavefronts. 
653 |a geometrical optics. 
653 |a glory. 
653 |a inhomogeneous medium. 
653 |a integrals. 
653 |a intensity law. 
653 |a internal gravity waves. 
653 |a inverse scattering problem. 
653 |a islands. 
653 |a leading waves. 
653 |a lee waves. 
653 |a light waves. 
653 |a long waves. 
653 |a mathematics. 
653 |a meteorological optics. 
653 |a mountain waves. 
653 |a ocean acoustic waveguides. 
653 |a ocean acoustics. 
653 |a ocean waves. 
653 |a one-dimensional waves. 
653 |a optics. 
653 |a path. 
653 |a plane wave incident. 
653 |a plane waves. 
653 |a polarization. 
653 |a potential well. 
653 |a rainbow. 
653 |a ray equations. 
653 |a ray optics. 
653 |a ray theory. 
653 |a rays. 
653 |a reflection. 
653 |a refraction. 
653 |a ridge. 
653 |a scattering. 
653 |a seafloor. 
653 |a seismic rays. 
653 |a seismic tomography. 
653 |a seismic waves. 
653 |a semicircle theorem. 
653 |a shallow water waves. 
653 |a ship waves. 
653 |a short waves. 
653 |a strain. 
653 |a stratified fluid. 
653 |a stress. 
653 |a surface gravity waves. 
653 |a surface waves. 
653 |a transient waves. 
653 |a tsunami propagation. 
653 |a tsunamis. 
653 |a wave energy. 
653 |a wave refraction. 
653 |a wave trapping. 
653 |a wavefront. 
653 |a wavepackets. 
653 |a waves. 
653 |a wind shear. 
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773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton University Press Complete eBook-Package 2017  |z 9783110543322 
776 0 |c print  |z 9780691148373 
856 4 0 |u https://doi.org/10.1515/9781400885404?locatt=mode:legacy 
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