Online resource; title from PDF title page (EBSCO, viewed September 30, 2015).

Includes bibliographical references and index.

Front Cover; Mathematical Modeling in Diffraction Theory: Based on A Priori Information on the Analytic Properties of the Solution; Copyright; Contents; Introduction; Chapter 1: Analytic Properties of Wave Fields; 1.1. Derivation of Basic Analytic Representations of Wave Fields; 1.1.1. Representation of Fields by Wave Potential; 1.1.2. Representation by a Series in Wave Harmonics and the Atkinson-Wilcox Expansion; 1.1.3. Integral and Series of Plane Waves; 1.2. Analytic Properties of the Wave Field Pattern and the Domains of Existence of Analytic Representations

1.2.1. Analytic Properties of the Wave Field Pattern1.2.2. Localization of Singularities of the Wave Field Analytic Continuation; 1.2.3. Examples of Determining the Singularities of the Wave Field Analytic Continuation; 1.2.3.1. Singularities of Mapping (1.55); 1.2.3.2. Singularities at Source Images; 1.2.4. Boundaries of the Domains of Existence of Analytic Representations; 1.2.5. Relationship Between the Asymptotics of the Pattern on the Complex Plane of its Argument and the Field Behavior ne...; Chapter 2: Methods of Auxiliary Currents and Method of Discrete Sources

2.1. Existence and Uniqueness Theorems2.2. Solution of the MAC Integral Equation and the MDS; 2.3. Rigorous Solution of the Diffraction Problem by MAC [9, 16]; 2.4. Modified MDS; Chapter 3: Null Field and T-Matrix Methods; 3.1. NFM for Scalar Diffraction Problems; 3.1.1. Statement of the Problem and Derivation of the NFM Integral Equation; 3.1.2. Numerical Solution of the NFM Integral Equation; 3.2. NFM for Vector Diffraction Problems; 3.2.1. Statement of the Problem and Derivation of the NFM Integral Equation; 3.3. Results of Numerical Studies

3.3.1. Illustration of the Necessity to Consider the Singularities of the Wave Field Analytic Continuation in NFM3.3.2. Null Field Method and the Method of Auxiliary Currents; 3.4. T-Matrix Method; 3.4.1. Derivation of Basic Relations; 3.4.2. Numerical Studies; 3.4.3. Modified T-Matrix Method; Chapter 4: Method of Continued Boundary Conditions; 4.1. Method of Continued Boundary Conditions for Scalar Diffraction Problems; 4.1.1. Statement of the Problem and the Method Idea; 4.1.2. Derivation of CBCM Integral Equations; 4.1.3. Existence and Uniqueness of the CBCM Integral Equation Solution

4.1.4. Well-Posedness of the Numerical Solution of the CBCM Integral Equation4.1.5. CBCM Rigorous Solution of Some Diffraction Problems and Estimation of the Error of the Method; 4.1.6. Algorithms for Numerical Solution of the CBCM Integral Equations; 4.1.6.1. Algorithm for Arbitrary Bodies; 4.1.6.2. Algorithm for Regular Prisms; 4.2. Method of Continued Boundary Conditions for Vector Problems of Diffraction; 4.2.1. Statement of the Problem and Derivation of the CBCM Integral Equation; 4.2.2. Algorithm for Solving the CBCM Integral Equations Numerically

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