Wave Scattering by Time-Dependent Perturbations : An Introduction /

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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, son...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Roach, G. F. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, [2009]
Edición:Course Book
Colección:Princeton Series in Applied Mathematics ; 25
Temas:
Perturbation (Mathematics).
Scattering (Physics) > Mathematics.
Waves > Mathematics.
SCIENCE / Waves & Wave Mechanics.
Acoustic wave equation.
Acoustic wave.
Affine space.
Angular frequency.
Approximation.
Asymptotic analysis.
Asymptotic expansion.
Banach space.
Basis (linear algebra).
Bessel's inequality.
Boundary value problem.
Bounded operator.
C0-semigroup.
Calculation.
Characteristic function (probability theory).
Classical physics.
Codimension.
Coefficient.
Continuous function (set theory).
Continuous function.
Continuous spectrum.
Convolution.
Differentiable function.
Differential equation.
Dimension (vector space).
Dimension.
Dimensional analysis.
Dirac delta function.
Dirichlet problem.
Distribution (mathematics).
Duhamel's principle.
Eigenfunction.
Eigenvalues and eigenvectors.
Electromagnetism.
Equation.
Existential quantification.
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.
Integration by parts.
Inverse problem.
Inverse scattering problem.
Lebesgue measure.
Linear differential equation.
Linear map.
Linear space (geometry).
Locally integrable function.
Longitudinal wave.
Mathematical analysis.
Mathematical physics.
Metric space.
Operator theory.
Ordinary differential equation.
Orthonormal basis.
Orthonormality.
Parseval's theorem.
Partial derivative.
Partial differential equation.
Phase velocity.
Plane wave.
Projection (linear algebra).
Propagator.
Quantity.
Quantum mechanics.
Reflection coefficient.
Requirement.
Riesz representation theorem.
Scalar (physics).
Scattering theory.
Scattering.
Scientific notation.
Self-adjoint operator.
Self-adjoint.
Series expansion.
Sine wave.
Spectral method.
Spectral theorem.
Spectral theory.
Square-integrable function.
Subset.
Theorem.
Theory.
Time domain.
Time evolution.
Unbounded operator.
Unitarity (physics).
Vector space.
Volterra integral equation.
Wave function.
Wave packet.
Wave propagation.
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