TY  - BOOK
AU  - Nikolova,Natalia K.
TI  - Introduction to microwave imaging
T2  - EuMA high frequency technologies series
SN  - 110708556X
AV  - TK7876 .N55 2017
U1  - 621.367 23
PY  - 2017///
CY  - Cambridge, United Kingdom, New York, NY, USA
PB  - Cambridge University Press
KW  - Microwave imaging
KW  - Mathematical models
KW  - Electromagnetic waves
KW  - Scattering
N1  - Includes bibliographical references and index; Cover -- Half title -- Series -- Title -- Copyright -- Dedication -- Endorsements -- Contents -- Preface -- Notation -- Acronyms -- 1 Scalar-Wave Models in Electromagnetic Scattering -- 1.1 Partial Differential Equations for Scalar Waves in the Time Domain  -- 1.2 Plane, Spherical, and Cylindrical Waves in the Time Domain -- 1.3 Partial Differential Equations for Scalar Waves in the Frequency Domain -- 1.4 Plane, Spherical, and Cylindrical Waves in the Frequency Domain -- 1.5 Green's Functions: The Basics -- 1.5.1 Green's Function as an Impulse Response -- 1.5.2 Toward the Construction of Solutions Using Green's Functions 1.5.3 Green's Theorem and Integral Solution for Helmholtz's Operator 1.5.4 Green's Theorem and Integral Solution for the Wave Operator  -- 1.5.5 Interior and Exterior Integral Solutions of the Wave Equation -- 1.5.6 Uniqueness of Green's Functions -- 1.5.7 Reciprocity of Green's Functions -- 1.5.8 Green's Theorem and Integral Solution for the Damped-Wave Operator -- 1.5.9 The Mathematical Perspective: Adjoint and Self-Adjoint Operators and Green's Functions -- 1.6 Integral Solutions to the Wave Equation  -- 1.6.1 Causal and Acausal Waves and Green's Functions 1.6.2 Causal Interior and Exterior Integral Solutions to the Wave Equation 1.6.3 Integral-Equation Models of Transient Radiation  -- 1.6.4 Integral-Equation Model of Transient Back-Propagation  -- 1.6.5 The Initial-Value Problem  -- 1.6.6 The Initial-Value Problem-Back-Propagation  -- 1.7 Integral Solutions to the Helmholtz Equation  -- 1.7.1 Interior and Exterior Kirchhoff-Helmholtz Equations -- 1.7.2 Application of the Surface Equivalence Principle to Radiation  -- 1.7.3 Uniqueness Theorem and the Relationship between Single-Layer and Double-Layer Equivalent Surface Sources 1.7.4 Application of the Surface Equivalence Principle to Scattering 1.7.5 Fourier Transform and Causal Solutions in the Frequency Domain -- 1.7.6 Acausal Solutions in the Frequency Domain -- 1.7.7 Green's Causal and Acausal Functions in the Frequency Domain -- 1.7.8 Integral-Equation Models of Radiation in the Frequency Domain  -- 1.7.9 Integral-Equation Models of Back-Propagation in the Frequency Domain -- 1.8 Incident Wave, Scattered Wave, and Induced Sources of Scattering  -- 1.9 Integral-Equation Models of Scattering in Terms of Induced Sources -- 1.10 Green's Function as an Incident Field 1.10.1 Green's Function in the Case of Point-Wise Sampling 1.10.2 Green's Function in Complex Background Medium  -- 1.10.3 Auxiliary Sources Generating Green's Function (Adjoint Sources) -- 1.10.4 Relationship between Actual Sources and Adjoint Sources -- 1.10.5 Examples of Adjoint Sources  -- 1.11 Fundamental Solutions to the Wave Equation  -- 1.12 Fundamental Solutions to the Helmholtz Equation  -- 1.13 The Born Series in the Scalar Model of Scattering  -- 1.14 The Born Approximation in the Scalar Model of Scattering  -- 1.15 Convergence Criterion for the Born Series
ER  -