Non-stationary electromagnetics : an integral equations approach /

This book is devoted to the investigations of non-stationary electromagnetic processes. The investigations are undertaken analytically mainly using the Volterra integral equations approach. The book contains a systematic statement of this approach for the investigations of electrodynamics phenomena...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Nerukh, Alexander (Autor), Benson, Trevor (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore : Pan Stanford Publishing, 2019.
Edición:Second edition.
Temas:
Electromagnetism.
Électromagnétisme.
electromagnetism.
SCIENCE > Physics > Electricity.
SCIENCE > Physics > Electromagnetism.
SCIENCE > Physics.
TECHNOLOGY > Lasers.
TECHNOLOGY > Optics.
Electromagnetism
Electronic books.
Acceso en línea:Texto completo (Requiere registro previo con correo institucional)
Tabla de Contenidos:
  • Cover
  • Half Title
  • Title Page
  • Copyright Page
  • Table of Contents
  • Preface
  • Introduction
  • 1: Basic Relations for an Electromagnetic Field in a Medium with Time-Varying Parameters and/or Moving Boundaries
  • 1.1 Generalized Wave Equation for an Electromagnetic Field in a Time-Varying Medium
  • 1.1.1 Generalized Derivatives
  • 1.1.2 Initial and Boundary Conditions for Electromagnetic Fields in a Time-Varying Medium
  • 1.1.3 Maxwell's Equations in a Generalized Derivatives Representation
  • 1.1.4 Generalized Wave Equation for the Case of a Non-Dispersive Background
  • 1.1.5 Generalized Wave Equation for the Case of a Dispersive Background
  • 1.2 Fundamental Solutions to Maxwell's Equations
  • 1.2.1 The Non-Dispersive Background
  • 1.2.2 The Dispersive Background
  • 1.2.3 A Rectangular Waveguide with Perfectly Conducting Walls
  • 1.3 Causal Time-Spatial Interpretation of Electromagnetic Field Interaction with Time-Varying Objects
  • 1.3.1 The Volterra Integral Equation for the Electromagnetic Field in a Non-Dispersive Background
  • 1.3.2 Influence of a Dispersive Background on the Integral Equation Form
  • 1.3.3 Spatial-Temporal Interpretation of the Volterra Integral Equation
  • 1.3.4 Three Stages of Development of Electromagnetic Transients in a Bounded Medium with Time-Varying Parameters
  • 1.3.5 Three Stages of Solution of a Non-Stationary Problem
  • 1.4 The Resolvent Method for Solving the Integral Equation
  • 1.4.1 Operator Form of an Integral Equation Representation
  • 1.4.2 Kernels of the Integral Equations for Typical Media
  • 1.4.3 The Resolvent Method
  • 2: Transformation of an Electromagnetic Field in an Unbounded Medium with Time-Varying Parameters
  • 2.1 Transformation of an Electromagnetic Wave in a Non-Dispersive Time-Varying Medium
  • 2.1.1 The Resolvent for an Unbounded Medium with a Jump Change in Its Properties.
  • 2.1.2 Splitting of a Plane Harmonic Wave by a Time Jump in Medium Parameters
  • 2.1.3 Transformation of Extrinsic Source Radiation by a Jump in Medium Parameters
  • 2.2 Evolution of a Harmonic Wave in a Medium Modulated by Repetitive Identical Pulses
  • 2.2.1 Electromagnetic Waves in a Linear Modulated Medium
  • 2.2.2 "Intermittency" in Electromagnetic Wave Transients in a Time-Varying Linear Medium
  • 2.3 Wave Chaotic Behavior Generated by Linear Time-Varying Systems
  • 2.3.1 Complexity of the Signals
  • 2.3.2 Dependence of Electromagnetic Pulse Form on a Modulation Cycle Number
  • 2.3.3 Wave Chaotic Behavior Generated by Linear Time-Varying Systems
  • 2.4 Electromagnetic Wave in Isotropic Plasma with Step-Wise Change of Plasma Density
  • 2.5 Plane Wave in Gyrotropic Plasma with "Switching On" of a Magnetizing Field
  • 2.5.1 Basic Equations
  • 2.5.2 The Resolvent for the Integral Equation
  • 2.5.3 The Case of the Arbitrary Time-Varying Magnetic Field Approximation
  • 2.5.4 The Transformation of a Plane Wave by a Jump of a Magnetic Field
  • 2.5.5 The Transformation of the Plasma Oscillations
  • 3: Influence of Medium Plane Boundaries on Electromagnetic Transients
  • 3.1 A Resolvent for an Initial-Boundary-Value 1D Problem in a Dielectric
  • 3.2 Electromagnetic Field in a Half-Restricted Time-Varying Medium
  • 3.2.1 Transformation of a Plane Wave by a Jump Change of a Dielectric Permittivity
  • 3.2.2 Splitting of a Pulse in a Half-Space with Time-Varying Conductivity
  • 3.3 Jump Changes of Plasma Density in a Plasma Half-Space with a Plane Boundary
  • 3.3.1 Plasma Density's Jump Change in a Half-Space
  • 3.3.2 The Resolvent of the Second Stage of Evolution with Two-Step Change of Plasma Density
  • 3.3.3 The Field after One Jump of Plasma Density
  • 3.3.4 Transformation of an Electromagnetic Wave by Two-Step Change of the Plasma Density.
  • 3.4 The Evolution of an Electromagnetic Field in the Dielectric Layer after Its Creation
  • 3.5 Electromagnetic Field in a Layer with Non-Linear and Time-Varying Medium
  • 3.5.1 Integral Equation Representation for Numerical Calculation
  • 3.5.2 Numerical Algorithm for Solving Integral Equations
  • 3.5.3 Numerical Results
  • 3.5.4 Comparison of the FDTD and Volterra Integral Equations in Time Domain Approaches
  • 3.6 Triple Asymmetry in Time-Spatial Structure of an Airy Pulse in Non-Stationary Environment
  • 3.6.1 The Problem Equations
  • 3.6.2 Transformed Pulses
  • 4: 3D+T Problems with Electromagnetic Transients
  • 4.1 The 3D Resolvent for a Problem with a Plane Boundary of a Dielectric Half-Space
  • 4.1.1 The Resolvent for the Inner Problem
  • 4.1.2 The Resolvent for the External Problem
  • 4.2 Fresnel's Formulae in Time-Domain for a Plane Interface between Two Dielectrics
  • 4.3 Inclined Incidence of a Plane Wave on a Plane Boundary of the Time-Varying Medium
  • 4.3.1 The Field Caused by the Permittivity Time Jump
  • 4.3.2 The Field Caused by the Boundary Presence Only
  • 4.3.3 The Evolution of the Refracted Field
  • 4.3.4 The Field Outside the Non-Stationary Medium
  • 4.4 Refocusing of Point Source Radiation by the Plane Boundary of a Time-Varying Dielectric
  • 4.5 Formation of Point Source Image by Time Change of Plasma
  • 4.6 Frequency Change of Partial Spherical Waves Induced by Time Change of Medium Permittivity
  • 4.6.1 Field Representation
  • 4.6.2 Analysis of the Inner Field
  • 4.6.3 Analysis of the Exterior Field
  • 4.7 Evolution of Waves after Plasma Ignition in a Sphere
  • 4.7.1 Solution to the Problem
  • 4.7.2 The Evolutionary Process
  • 5: Non-Stationarity of Electromagnetic Waves Caused by the Movement of a Medium Boundary
  • 5.1 Transformation of an Electromagnetic Wave by a Uniformly Moving Boundary of a Medium.
  • 5.1.1 Discrepancy of Secondary Waves and Boundary Conditions Numbers
  • 5.1.2 Resolution of Moving Boundaries "Paradoxes
  • 5.2 Evolution of an Electromagnetic Wave after the Beginning of Medium Boundary Movement
  • 5.3 Relativistic Uniform Accelerated Movement of a Medium Boundary
  • 5.4 Electromagnetic Field Energy Accumulation in a Collapsing Dielectric Layer
  • 5.4.1 Increase of the Wave Amplitudes in the Collapsing Layer
  • 5.4.2 The Energy Accumulation in the Layer
  • 5.4.3 Generation of Electromagnetic Pulses by the Collapsing Layer
  • 6: An Electromagnetic Field in a Metallic Waveguide with a Moving Medium
  • 6.1 Expansion of an Electromagnetic Field by Non-Stationary Eigen-Functions of a Waveguide
  • 6.2 Equations for a Field in the Waveguide with a Non-Stationary Insertion
  • 6.3 Vibration of a Boundary of a Plane Dielectric Resonator
  • 6.4 Uniform Movement of a Dielectric Layer in Presence of Waveguide Dispersion
  • 6.5 Penetration of an Electromagnetic Wave through Plasma Boundary after Its Start in a Waveguide
  • 6.6 Interaction of an Electromagnetic Wave with a Plasma Bunch Moving in a Metallic Waveguide
  • 6.6.1 Main Ratios for Electromagnetic Waves in a Waveguide with a Relativistic Moving Plasma Bunch
  • 6.6.2 Characteristic Matrix for Waves in a Waveguide with a Plasma Layer
  • 6.7 Frequency Multiplication and Amplitude Amplification
  • 6.7.1 Enhanced Reflectivity from the Moving Plasma Bunch
  • 6.8 Resonance Effects in a Stratified Plasma Cluster Moving in a Waveguide
  • 6.8.1 The Characteristic Matrix for Stratified Plasma Cluster
  • 6.8.2 Resonance Effects
  • 7: Non-Stationary Electromagnetic Processes in Time-Varying Dielectric Waveguides
  • 7.1 Wave Equations for Longitudinal and Transverse Components in Generalized Functions.
  • 7.2 Volterra Integral Equations for Non-Stationary Electromagnetic Processes in Time-Varying Dielectric Waveguides
  • 7.2.1 Integral Equations for the Fields
  • 7.2.2 Harmonic Waves in a Waveguide
  • 7.3 Solution for the Problem with a Time Jump Change in the Waveguide Core Permittivity
  • 7.4 Harmonic Wave Transformation Caused by a Permittivity Change in the Waveguide Core
  • 7.4.1 The Early Stage of the Transient
  • 7.4.2 Waves Spectra Generated by a Permittivity Time Jump
  • 7.5 Transformation of a Wave in a Non-Linear Dielectric Waveguide
  • 7.5.1 Step-Like Description of Field Evolution
  • 7.5.2 The Step-Resolvent Method for the Waveguide
  • 7.5.3 Calculation Scheme for Time Steps Approximation
  • 7.5.4 Evolution of the Electromagnetic Wave after Switching of Non-Linearity in the Waveguide
  • 7.6 Two Ways for Calculating Field Evolution in a Dielectric Waveguide: Via Brillouin- or Eigen-Waves
  • 7.6.1 Elastic Oscillations
  • 7.6.2 Differential Formulation of Initial and Boundary Value Electromagnetic Problem in a Dielectric Waveguide
  • 7.6.3 Flat Dielectric Resonator
  • 7.6.4 Field Evolution in a Dielectric Waveguide
  • Index.

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