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150928s2016 ne ob 001 0 eng d |
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|a 922629797
|a 929521690
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|a 9780128037485
|q (electronic bk.)
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|a 0128037482
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|z 9780128037287
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|z 0128037288
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|a (OCoLC)922324030
|z (OCoLC)922629797
|z (OCoLC)929521690
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|a 511/.8
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|a Kyurkchan, Alexander G.,
|e author.
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|a Mathematical modeling in diffraction theory :
|b based on A priori information on the analytical properties of the solution /
|c Alexander G. Kyurkchan and Nadezhda I. Smirnova.
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|a Amsterdam :
|b Elsevier,
|c 2016.
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|c �2016
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|a 1 online resource
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a Online resource; title from PDF title page (EBSCO, viewed September 30, 2015).
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|a Includes bibliographical references and index.
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|a 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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|a 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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|a 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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|a 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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|a 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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|a Mathematical models.
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|a Diffraction.
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|a A priori.
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|a Signal processing
|x Mathematics.
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|a Models, Theoretical
|0 (DNLM)D008962
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650 |
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6 |
|a Mod�eles math�ematiques.
|0 (CaQQLa)201-0015060
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650 |
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|a Diffraction.
|0 (CaQQLa)201-0010180
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650 |
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|a A priori.
|0 (CaQQLa)201-0007137
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650 |
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|a Traitement du signal
|x Math�ematiques.
|0 (CaQQLa)000299542
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650 |
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|a mathematical models.
|2 aat
|0 (CStmoGRI)aat300065075
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650 |
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|a diffraction.
|2 aat
|0 (CStmoGRI)aat300220378
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650 |
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|a MATHEMATICS
|x General.
|2 bisacsh
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650 |
|
7 |
|a A priori.
|2 fast
|0 (OCoLC)fst00793749
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650 |
|
7 |
|a Diffraction.
|2 fast
|0 (OCoLC)fst00893514
|
650 |
|
7 |
|a Mathematical models.
|2 fast
|0 (OCoLC)fst01012085
|
650 |
|
7 |
|a Signal processing
|x Mathematics.
|2 fast
|0 (OCoLC)fst01118302
|
700 |
1 |
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|a Smirnova, Nadezhda I.,
|e author.
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776 |
0 |
8 |
|i Print version:
|a Kyurkchan, Alexander G.
|t Mathematical modeling in diffraction theory.
|d Amsterdam : Elsevier, 2016
|z 9780128037287
|z 0128037288
|w (OCoLC)911073387
|
856 |
4 |
0 |
|u https://sciencedirect.uam.elogim.com/science/book/9780128037287
|z Texto completo
|