Analytical and hybrid methods in the theory of slot-hole coupling of electrodynamic volumes

This book provides the reader with the possibility of rapid study and application of methods of computer analysis of electrodynamic problems. The authors address the development of analytical methods to solve the problems of diffraction of waveguide electromagnetic waves on slot coupling holes. All the authors have experience in the field and the topics addressed are based on their original research results. The book is written in a laconic style and is visually accessible.

1 Waves Excitation in Electrodynamic Volumes with Coordinate Boundaries	p. 1
1.1 Helmholtz's Equations in the Problems of Electrodynamics	p. 1
1.2 Boundary Conditions for Electromagnetic Fields	p. 4
1.3 Application Peculiarities of the Theorem of Uniqueness and the Principle of Duality for the Regions with Impedance Boundaries	p. 6
1.3.1 Peculiarities of Application of the Theorem of Uniqueness	p. 6
1.3.2 Peculiarities of Application of the Principle of Duality	p. 9
1.4 Application of the Method of Moments in the Coupling Slot-Holes Theory	p. 10
1.5 Green's Tensor Functions of the Helmholtz's Vector Equation for the Hertz's Potentials	p. 13
1.5.1 Green's Tensor Function Characteristics	p. 13
1.5.2 Method of the Green's Tensor Creation in the Orthogonal Curvilinear Coordinates Systems	p. 17
1.5.3 Tensor for the Region with Cylindrical Boundaries	p. 19
1.5.4 Formulation of the Boundary Problem for the Coupling Hole in the Infinite Perfectly Conducting Screen	p. 20
References	p. 25
2 Problem Formulation and Initial Integral Equations; Averaging Method	p. 27
2.1 General Problem Formulation and Transition to the Case of a Narrow Slot	p. 27
2.2 Approximate Analytical Methods of Integral Equations Solutions for the Current	p. 30
2.2.1 Small Parameter Expansion Method	p. 31
2.2.2 Method of the Consistent Iterations	p. 34
2.3 Asymptotic Averaging Method	p. 36
References	p. 40
3 Analytical Solution of the Integral Equations for the Current by the Averaging Method	p. 41
3.1 Solution of the Equation for the Current in a General Form	p. 41
3.2 Single Slots in the Common Walls of Rectangular Waveguides	p. 43
3.2.1 Symmetrical Transverse Slot in a Common Broad Wall of Waveguides	p. 43
3.2.2 Longitudinal Slot in a Common Narrow Wall of Waveguides	p. 44
3.2.3 Longitudinal/Transverse Slot in a Common Broad Wall of Waveguides	p. 45
3.3 Finite Thickness of the Coupling Region Account	p. 46
3.4 Numerical Results	p. 47
References	p. 49
4 Induced Magnetomotive Forces Method for Analysis of Coupling Slots in Waveguides	p. 51
4.1 Electrically Long Longitudinal Slot in a Common Broad Wall of Waveguides	p. 51
4.2 Two Symmetrical Transverse Slots in a Common Broad Wall of Waveguides	p. 56
4.3 Two Longitudinal Slots in a Common Broad Wall of Waveguides	p. 61
4.4 Multi-Slot Coupling Through Symmetrical Transverse Slots in a Common Broad Wall of Waveguides	p. 66
References	p. 70
5 Resonant Iris with the Slot Arbitrary Oriented in a Rectangular Waveguide	p. 71
5.1 Problem Formulation	p. 71
5.2 Solution of the Equation for a Magnetic Current	p. 74
5.3 Numerical Results	p. 78
References	p. 81
6 Stepped Junction of the Two Rectangular Waveguides with the Impedance Slotted Iris	p. 83
6.1 Problem Formulation	p. 83
6.2 Solution of the Equation for a Magnetic Current	p. 87
6.3 Surface Impedance of the Coating with the [epsilon subscript 1] and [mu subscript 1] Homogeneous Parameters	p. 90
6.4 Surface Impedance of the Magnetodielectric Layer with Inhomogeneous Permittivity on the Perfectly Conductive Surface	p. 92
6.4.1 Power Law of the [epsilon subscript 1](z) Change	p. 93
6.4.2 Exponential Law of the [epsilon subscript 1](z) Change	p. 95
6.4.3 Numerical Examples	p. 96
6.5 Numerical Results	p. 100
References	p. 106
7 Coupling of Some Different Electromagnetic Volumes via Narrow Slots	p. 107
7.1 Problem Formulation and Solution of the Integral Equations	p. 107
7.2 Numerical Results	p. 110
7.3 Multi-Slot Iris in the Problem of Some Volumes Coupling	p. 114
References	p. 119
A Magnetic Dyadic Green's Functions of the Considered Electrodynamic Volumes	p. 121
B Functions of the Own Field of Single Slots	p. 123
C Eigen and Mutual Slot Admittances	p. 127
D Series Summing Up in the Function of the Iris Own Field	p. 135
E Electromagnetic Values in CGS and SI Systems of Units	p. 139
Index	p. 143

Available:*

On Order

Summary

Summary

Table of Contents