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Surface Impedance Boundary Conditions

A Comprehensive Approach

Surface Impedance Boundary Conditions by Sergey V. Yuferev
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Classical Surface Impedance Boundary Conditions
Skin Effect Approximation
SIBCs of the Order of Leontovich’s Approximation
High-Order SIBCs
Rytov’s Approach

General Perturbation Approach to Derivation of Surface
Impedance Boundary Conditions
Local Coordinates
Perturbation Technique
Tangential Components
Normal Components
Normal Derivatives
Components of the Curl Operator
Surface Impedance ‘‘Toolbox’’ Concept
Numerical Example

SIBCs in Terms of Various Formalisms
Basic Equations
Electric Field–Magnetic Field Formalism
Magnetic Scalar Potential Formalism
Magnetic Vector Potential Formalism
Common Representation of Various SIBCs Using a Surface Impedance Function
Surface Impedance near Corners and Edges

Calculation of the Electromagnetic Field Characteristics in the Conductor’s Skin Layer
Distributions across the Skin Layer
Resistance and Internal Inductance
Forces Acting on the Conductor

Derivation of SIBCs for Nonlinear and Nonhomogeneous Problems
Coupled Electromagnetic-Thermal Problems
Magnetic Materials
Nonhomogeneous Conductors

Implementation of SIBCs for the Boundary Integral Equation Method: Low-Frequency Problems
Two-Dimensional Problems
Three-Dimensional Problems
Properties of the Surface Impedance Function
Boundary Element Formulations for Two- and Three-Dimensional Problems in Invariant Form
Numerical Examples
Quasi-Three-Dimensional Integro-Differential Formulation for Symmetric Systems of Conductors

Implementation of SIBCs for the Boundary Integral Equation Method: High-Frequency Problems
Integral Representations of High-Frequency Electromagnetic Fields
SIBCs for Lossy Dielectrics
Direct Implementation of SIBCs into the Surface Integral Equations
Implementation Using the Perturbation Technique
Numerical Example

Implementation of SIBCs for Volume Discretization Methods
Statement of the Problem
Finite-Difference Time-Domain Method
Finite Integration Technique
Finite-Element Method

Application and Experimental Validation of the SIBC Concept
Selection of the Surface Impedance Boundary Conditions for a Given Problem
Experimental Validation of SIBCs

Appendix A: Review of Numerical Methods


CRC Press; September 2009
414 pages; ISBN 9781420044904
Read online, or download in secure PDF format
Title: Surface Impedance Boundary Conditions
Author: Sergey V. Yuferev; Nathan Ida
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