Rays, Waves, and Scattering (eBook)

Topics in Classical Mathematical Physics

John Adam (Autor)

eBook Download: PDF

2017
616 Seiten
Princeton University Press (Verlag)
978-1-4008-8540-4 (ISBN)

Infos

John A. Adam is professor of mathematics at Old Dominion University. His books include X and the City: Modeling Aspects of Urban Life, Mathematics in Nature: Modeling Patterns in the Natural World, and Guesstimation: Solving the World's Problems on the Back of a Cocktail Napkin (all Princeton).

---

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

Produkt-Details

• Erscheint lt. Verlag: 30.5.2017
• Reihe/Serie: Princeton Series in Applied Mathematics
• Reihe/Serie: Princeton Series in Applied Mathematics
• Zusatzinfo: 126 line illus.
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Mechanik
• Themenwelt: Technik
• Schlagworte: acceleration • Acoustic Wave • acoustic wave propagation • action • Airy approximation • Airy disk • Airy function • Airy functions • Airy integral • Airy theory • Airy wavefront • Alexander's dark band • Amplitude • Angle of incidence (optics) • angle of minimum deviation • Angular displacement • angular frequency • Angular momentum • Applied mathematics • Approximation • asymptotic expansion • Atmospheric wave • Atmospheric waves • Bessel function • Bessel functions • billow clouds • boundary-value problem • Breaking wave • Buoyancy • buoyancy waves • Capillary wave • caustics • Cavitation • classical mechanics • classical wave equation • Colors • complex plane • constant phase lines • Continuous spectrum • contours • convection • Corona • currents • cusp catastrophes • deep water waves • Degree of polarization • Differential Equations • diffraction • diffraction catastrophes • Dimension • Dispersion • dispersion relation • Dispersion Relations • divergence problem • Doppler Effect • Drop (liquid) • earth • earthquakes • Eikonal equation • elastic solid • elastic waves • Electromagnetic radiation • Elementary mathematics • Equation • Equations of motion • Equatorial waves • evanescent field • Fermat's Principle • fluid equations • fold catastrophes • free surface • Fresnel integrals • Fresnel zone • geometrical optics • geometric wavefronts • Glory • Gravity wave • hamiltonian • Hamilton-Jacobi equation • Hamilton-Jacobi theory • Hamilton's principle • Helmholtz equation • Hooke's law • Hyperbolic function • Impact event • Impact parameter • inhomogeneous medium • integrals • intensity law • Internal Gravity Waves • Inverse scattering problem • inviscid flow • Islands • Kepler's laws of planetary motion • Lagrangian • leading waves • Leaky mode • Lee wave • lee waves • light waves • Liouville transformation • long waves • love waves • Mathematics • meteorological optics • Mie scattering • Minimum deviation • momentum transfer • mountain waves • multipole expansion • Navier equations • ocean • Ocean acoustics • ocean acoustic waveguides • ocean waves • one-dimensional waves • Optical field • Optics • Oscillation • PATH • Penetration depth • phase transition • Phase velocity • Phase (waves) • Photon • plane wave • plane wave incident • Plane waves • polarization • polarization density • Polarization (waves) • potential well • Ptolemy's theorem • quantum mechanics • radiant energy • Rainbow • ray equations • Rayleigh scattering • Rayleigh wave • Ray (optics) • Ray Optics • rays • Ray Theory • reflection • Reflection coefficient • refraction • Refractive index • resonance • Ridge • Rossby-gravity waves • Rossby wave • Saddle point • scattering • scattering amplitude • scattering theory • Schrödinger equation • seafloor • seismic rays • Seismic tomography • Seismic Wave • seismic waves • semicircle theorem • shallow water waves • ship waves • Shock Wave • short waves • Sir George Biddle Airy • Snell's laws • specular reflection • Spherical Aberration • standing wave • Strain • Stratified Fluid • Stress • Sturm–Liouville theory • surface gravity waves • surface tension • surface wave • Surface Waves • S-wave • Taylor–Goldstein equation • Total internal reflection • transient waves • Transverse wave • Tsunami • Tsunami Propagation • Tsunamis • Velocity • Vortex sheet • Wave • Wave energy • wave equation • Wavefront • wave function • Waveguide • wave height • Wavelength • Wavelet • wavenumber • Wave Packet • Wavepackets • Wave–particle duality • Wave power • wave propagation • wave refraction • Waves • wave trapping • Wave vector • Wiechert-Herglotz inverse problem • Wind shear • WKB(J) approximation
• ISBN-10: 1-4008-8540-X / 140088540X
• ISBN-13: 978-1-4008-8540-4 / 9781400885404