Modern Theory of Gratings

Modern Theory of Gratings

 

345,69 €
IVA incluido
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Editorial:
Springer Nature B.V.
Año de edición:
2012
ISBN:
9781461425465
345,69 €
IVA incluido
Disponible

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PrefaceChapter 1. Basic Statements1.1. The Formulation of Boundary Value and Initial Boundary Value Problems in the Theory of Diffraction Gratings1.1.1. Main Equations1.1.2. Domains of Analysis, Boundary and Initial Conditions1.1.3. Time Domain: Initial Boundary Value Problems1.1.4. Frequency Domain: Boundary Value Problems1.2. The General Physical Picture: Main Definitions and Consequences from Conservation Laws and Reciprocity Theorems1.2.1. The Diffraction Problems for Plane Waves1.2.2. The Simplest Physical Consequences from the Poynting Theorem and the Lorentz Lemma1.3. The Spectral Theory of Gratings1.3.1. Introduction1.3.2. The Grating as an Open Periodic Resonator1.3.3. The Grating as an Open Periodic Waveguide1.3.4. Some Physical Results of Spectral TheoryChapter 2. Analytic Regularization Methods2.1. General Description and Classification of the Analytic Regularization Methods: History, Provenance and Survey2.2. The Riemann-Hilbert Problem Method and its Generalization2.2.1. Classical Dual Series Equations and the Riemann-Hilbert Problem2.2.2. Classical Dual Series Equations with 'Matrix Perturbation'2.2.3. Dual Series Equations with the Non Unit Coefficient of Conjugation2.2.4. The System of Dual Series Equations and Riemann-Hilbert Vector Problem2.3. Inversion of Convolution-Type Matrix Operators in Equation Systems of the Mode Matching Technique2.3.1. Knife Gratings: Systems of First Kind Equations and Analytic Regularization of the Problem2.3.2. Matrix Scheme of Analytic Regularization Procedure2.4. Electromagnetic Wave Diffraction by Gratings in Presence of a Chiral Isotropic Medium2.4.1. Field Presentation in Chiral Medium2.4.2. Formulation of the Problem2.4.3. The Systems of Dual Series Equations2.4.4. An Algebraic System of the Second Kind2.4.5. Numerical Analysis for Grating and Chiral Half-Space2.4.6. Strip Grating with Layered Medium2.4.7. Electromagnetic Properties of a Strip Grating with Layered Medium in the Resonant Frequency Range2.5. Resonant Scattering of Electromagnetic Waves by Gratings and Interfaces between Anisotropic Media and Metamaterials2.5.1. Resonant Wave Scattering by a Strip Grating Loaded with a Metamaterial Layer2.5.2. The Plane Wave Diffraction from a Strip Grating with Anisotropic Medium2.6. Diffraction of Quasi-Periodic Waves by Obstacles with Cylindrical Periodical Wavy Surfaces2.6.1. The Dirichlet Diffraction Problem2.6.2. Reduction of the Dirichlet BVP to the Integral Equations2.6.3. Investigation of the Differential Properties of the Integral Equation Kernel2.6.4. Additive Splitting of the Integral Equation Kernel into a Sum of Main Singular Part and Some More Smooth Function 2.6.5. Reduction of the Integral Equation to an Infinite System of Linear Algebraic Equations of the First Kind 2.6.6. Construction of an Infinite System of Linear Algebraic Equations of the Second Kind2.6.7. The Neumann Diffraction ProblemChapter 3. C-Method: From the Beginnings to Recent Advances3.1. Introduction3.2. Classical C-Method3.2.1. Modal Equations in Cartesian Coordinates and Quasi-Periodic Green Function3.2.2. New Coordinate System3.2.3. Modal Equation in the Translation Coordinate System3.3. Diffraction of a Plane Wave by a Modulated Surface Grating3.3.1. Posing the Problem3.3.2. Tangential Component of a Vector Field at a Coordinate Surface3.3.3. Boundary Conditions3.4. Adaptive Spatial Resolution3.4.1. Trapezoidal Grating3.4.2. Lamellar Grating and Adaptive Spatial Resolution3.5. Curved Strip Gratings3.6. Sev

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