Wave Scattering by Time-Dependent Perturbations
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A01=G. F. Roach
Acoustic wave
Angular frequency
Approximation
Asymptotic analysis
Asymptotic expansion
Author_G. F. Roach
Banach space
Boundary value problem
C0-semigroup
Category=PHDS
Characteristic function (probability theory)
Continuous function
Continuous function (set theory)
Continuous spectrum
Differentiable function
Differential equation
Dimension
Dimension (vector space)
Dimensional analysis
Dirac delta function
Dirichlet problem
Eigenfunction
Eigenvalues and eigenvectors
eq_bestseller
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
eq_science
Equation
Exponential function
Floquet theory
Fourier inversion theorem
Fourier series
Fourier transform
Fredholm integral equation
Frequency domain
Helmholtz equation
Hilbert space
Initial value problem
Integral equation
Integral transform
Inverse problem
Inverse scattering problem
Linear differential equation
Linear map
Locally integrable function
Mathematical analysis
Metric space
Ordinary differential equation
Orthonormal basis
Partial differential equation
Plane wave
Projection (linear algebra)
Propagator
Quantity
Quantum mechanics
Reflection coefficient
Riesz representation theorem
Scalar (physics)
Scattering
Scattering theory
Self-adjoint
Self-adjoint operator
Sine wave
Spectral theorem
Spectral theory
Theorem
Theory
Time domain
Time evolution
Unbounded operator
Unitarity (physics)
Vector space
Volterra integral equation
Wave function
Wave packet
Wave propagation
Product details
- ISBN 9780691113401
- Weight: 539g
- Dimensions: 152 x 235mm
- Publication Date: 02 Sep 2007
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Hardback
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This book offers the first comprehensive introduction to wave scattering in nonstationary materials. G. F. Roach's aim is to provide an accessible, self-contained resource for newcomers to this important field of research that has applications across a broad range of areas, including radar, sonar, diagnostics in engineering and manufacturing, geophysical prospecting, and ultrasonic medicine such as sonograms. New methods in recent years have been developed to assess the structure and properties of materials and surfaces. When light, sound, or some other wave energy is directed at the material in question, "imperfections" in the resulting echo can reveal a tremendous amount of valuable diagnostic information. The mathematics behind such analysis is sophisticated and complex. However, while problems involving stationary materials are quite well understood, there is still much to learn about those in which the material is moving or changes over time. These so-called non-autonomous problems are the subject of this fascinating book.
Roach develops practical strategies, techniques, and solutions for mathematicians and applied scientists working in or seeking entry into the field of modern scattering theory and its applications. Wave Scattering by Time-Dependent Perturbations is destined to become a classic in this rapidly evolving area of inquiry
G. F. Roach is professor emeritus of mathematics at the University of Strathclyde. His books include "An Introduction to Linear and Nonlinear Scattering Theory" and "Green's Functions".
