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Analytical and Hybrid Methods in the Theory of Slot-Hole Coupling:
Contents
1 Waves Excitation in Electrodynamic Volumes
with Coordinate Boundaries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
1.1 Helmholtz’s Equations in the Problems of Electrodynamics . . . . . . . . 1
1.2 Boundary Conditions for Electromagnetic Fields . . . . . . . . . . . . . . . . . 4
1.3 Application Peculiarities of the Theorem of Uniqueness
and the Principle of Duality for the Regions
with Impedance Boundaries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
1.3.1 Peculiarities of Application of the Theorem of Uniqueness . . 6
1.3.2 Peculiarities of Application of the Principle of Duality . . . . . . 9
1.4 Application of the Method of Moments in the Coupling
Slot-Holes Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
1.5 Green’s Tensor Functions of the Helmholtz’s Vector Equation
for the Hertz’s Potentials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
1.5.1 Green’s Tensor Function Characteristics . . . . . . . . . . . . . . . . . . 13
1.5.2 Method of the Green’s Tensor Creation in the Orthogonal
Curvilinear Coordinates Systems . . . . . . . . . . . . . . . . . . . . . . . 17
1.5.3 Tensor for the Region with Cylindrical Boundaries . . . . . . . . . 19
1.5.4 Formulation of the Boundary Problem for the Coupling
Hole in the Infinite Perfectly Conducting Screen . . . . . . . . . . 20
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
2 Problem Formulation and Initial Integral Equations;
AveragingMethod . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
2.1 General Problem Formulation and Transition to the Case
of a NarrowSlot . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
2.2 Approximate Analytical Methods of Integral Equations Solutions
for the Current . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
2.2.1 Small Parameter ExpansionMethod . . . . . . . . . . . . . . . . . . . . . 31
2.2.2 Method of the Consistent Iterations . . . . . . . . . . . . . . . . . . . . . . 34
2.3 AsymptoticAveragingMethod . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40
3 Analytical Solution of the Integral Equations for the Current by
the AveragingMethod . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41
3.1 Solution of the Equation for the Current in a General Form. . . . . . . . . 41
3.2 Single Slots in the CommonWalls of RectangularWaveguides . . . . . 43
3.2.1 Symmetrical Transverse Slot in a Common Broad Wall
ofWaveguides . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43
3.2.2 Longitudinal Slot in a Common NarrowWall
ofWaveguides . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44
3.2.3 Longitudinal/Transverse Slot in a Common Broad Wall
ofWaveguides . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
3.3 Finite Thickness of the Coupling Region Account . . . . . . . . . . . . . . . . 46
3.4 Numerical Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
4 Induced Magnetomotive Forces Method for Analysis
of Coupling Slots in Waveguides . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
4.1 Electrically Long Longitudinal Slot in a Common Broad
Wall ofWaveguides . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
4.2 Two Symmetrical Transverse Slots in a Common Broad Wall
ofWaveguides . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
4.3 Two Longitudinal Slots in a Common Broad Wall of Waveguides . . . 61
4.4 Multi-Slot Coupling Through Symmetrical Transverse Slots in a
Common BroadWall ofWaveguides . . . . . . . . . . . . . . . . . . . . . . . . . . . 66
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70
5 Resonant Iris with the Slot Arbitrary Oriented
in a RectangularWaveguide . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
5.1 ProblemFormulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
5.2 Solution of the Equation for aMagnetic Current . . . . . . . . . . . . . . . . . . 74
5.3 Numerical Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81
6 Stepped Junction of the Two Rectangular Waveguides with the
Impedance Slotted Iris . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83
6.1 ProblemFormulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83
6.2 Solution of the Equation for aMagnetic Current . . . . . . . . . . . . . . . . . . 87
6.3 Surface Impedance of the Coating with the ε1 and μ1
Homogeneous Parameters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 90
6.4 Surface Impedance of the Magnetodielectric Layer
with Inhomogeneous Permittivity on the
Perfectly Conductive Surface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92
6.4.1 Power Law of the ε1(z) Change . . . . . . . . . . . . . . . . . . . . . . . . . 93
6.4.2 Exponential Law of the ε1(z) Change . . . . . . . . . . . . . . . . . . . . 95
6.4.3 Numerical Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96
6.5 Numerical Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 100
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 106
7 Coupling of Some Different Electromagnetic
Volumes via Narrow Slots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107
7.1 ProblemFormulation and Solution of the Integral Equations . . . . . . . 107
7.2 Numerical Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 110
7.3 Multi-Slot Iris in the Problem of Some Volumes Coupling . . . . . . . . . 114
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 119
A Magnetic Dyadic Green’s Functions of the
Considered Electrodynamic Volumes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121
B Functions of the Own Field of Single Slots . . . . . . . . . . . . . . . . . . . . . . . . . 123
C Eigen and Mutual Slot Admittances . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 127
D Series Summing Up in the Function of the Iris Own Field. . . . . . . . . . . . 135
E Electromagnetic Values in CGS and SI Systems of Units . . . . . . . . . . . . . 139
Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143
这个非常需要啊,非常感谢
谢谢楼主!
感谢楼主分享
感謝樓主分享一本好書
感谢楼主分享
:30bb:30bb
好书啊,谢谢楼主分享
感谢分享。很好的资料。
捕获.JPG
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