| Description |
1 online resource |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
| Note |
Online resource; title from PDF title page (EBSCO, viewed September 30, 2015). |
| Bibliography |
Includes bibliographical references and index. |
| Contents |
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. |
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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. |
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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. |
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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. |
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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. |
| Subject |
Mathematical models.
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Diffraction.
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A priori.
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Signal processing -- Mathematics.
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Models, Theoretical |
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Modèles mathématiques.
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Diffraction.
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A priori.
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Traitement du signal -- Mathématiques.
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mathematical models.
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diffraction.
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MATHEMATICS -- General.
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A priori
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Diffraction
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Mathematical models
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Signal processing -- Mathematics
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| Added Author |
Smirnova, Nadezhda I., author.
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| Other Form: |
Print version: Kyurkchan, Alexander G. Mathematical modeling in diffraction theory. Amsterdam : Elsevier, 2016 9780128037287 0128037288 (OCoLC)911073387 |
| ISBN |
9780128037485 (electronic bk.) |
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0128037482 (electronic bk.) |
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9780128037287 |
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0128037288 |
| Standard No. |
AU@ 000056297673 |
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CHBIS 010796075 |
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CHVBK 40394242X |
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DEBBG BV043216551 |
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DEBSZ 451529626 |
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DEBSZ 482376619 |
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GBVCP 838952194 |
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