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Mathematical modeling in diffraction theory : based on A priori information on the analytical properties of the solution /
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam :
Elsevier,
2016.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.