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Tables of Contents for Cylindrical Antennas and Arrays
Chapter/Section Title
Page #
Page Count
Preface
xiii
Preface to first edition
xvii
Introduction
1
30
Linear antennas
1
2
Maxwell's equations and the potential functions
3
2
Power and the Poynting vector
5
2
The field of thin linear antennas: general equations
7
4
The field of the electrically short antenna; directivity
11
2
The field of antennas with sinusoidally distributed currents; radiation resistance
13
3
Impedance of antenna: EMF method
16
4
Integral equations for the current distribution
20
3
Direct numerical methods
23
8
An approximate analysis of the cylindrical antenna
31
23
The sinusoidal current
31
1
The equation for the current
32
1
Properties of integrals
33
3
Rearranged equation for the current
36
1
Reduction of integral equation to algebraic equation
36
3
Evaluation of coefficients
39
1
The approximate current and admittance
40
1
Numerical examples; comparison with experiment
41
2
The radiation field
43
5
An approximate two-term theory
48
2
The receiving antenna
50
4
The two-element array
54
25
The method of symmetrical components
54
3
Properties of integrals
57
2
Reduction of integral equations for phase sequences to algebraic equations
59
3
The phase-sequence currents and admittances
62
2
Currents for arbitrarily driven antennas; self- and mutual admittances and impedances
64
2
Currents for one driven, one parasitic antenna
66
1
The couplet
67
1
Field patterns
68
2
The two-term approximation
70
9
The circular array
79
33
Integral equations for the sequence currents
80
6
Sequence functions and array properties
86
2
Self- and mutual admittances
88
7
Currents and fields; arrays with one driven element
95
8
Matrix notation and the method of symmetrical components
103
4
General formulation and solution
107
5
The circuit and radiating properties of curtain arrays
112
41
Comparison of conventional and two-term theories
112
2
Two-term theory of curtain arrays
114
10
Example: the three-element array
124
4
Electronically scanned arrays
128
9
Examples of the general theory for large arrays
137
11
The special case when β0h = π/2
148
3
Summary
151
2
Arrays with unequal elements: parasitic and log-periodic antennas
153
88
Application of the two-term theory to a simple parasitic array
153
7
The problem of arrays with parasitic elements of unequal lengths
160
2
Application to the Yagi--Uda array
162
5
Evaluation of coefficients for the Yagi--Uda array
167
3
Arrays with half-wave elements
170
3
The far field of the Yagi--Uda array; gain
173
6
Simple applications of the modified theory; comparison with experiment
179
3
The three-element Yagi--Uda array
182
8
The four and eight director Yagi--Uda arrays
190
8
Receiving arrays
198
10
Driven arrays of elements that differ greatly in length
208
7
The log-periodic dipole array
215
1
Analysis of the log-periodic dipole array
216
6
Characteristics of a typical log-periodic dipole array
222
6
Frequency-independent properties of the log-periodic dipole array
228
11
Experimental verification of the theory for arrays of unequal dipoles
239
2
Planar and three-dimensional arrays
241
49
Vector potentials and integral equations for the currents
241
4
Vector potential differences and integral equations
245
2
Approximate distribution of current
247
2
Evaluation of coefficients
249
4
The field patterns
253
3
The general two-element array
256
6
A simple planar array
262
10
A three-dimensional array of twenty-seven elements
272
12
Electrical beam scanning
284
4
Problems with practical arrays
288
2
Vertical dipoles on and over the earth or sea
290
53
Introduction
290
2
The complete electromagnetic field of a vertical dipole over the earth or sea with or without a coating
292
4
The field in the air in the intermediate range
296
2
The far field in the air
298
5
Base-driven and grounded monopoles
303
5
Vertical antennas on the earth for communicating with submarines in the ocean
308
6
High-frequency dipoles over the earth; cellular telephone
314
7
Vertical dipoles over a two-layered region
321
6
Propagation over the spherical earth
327
14
Conclusion
341
2
Dipoles parallel to the plane boundaries of layered regions; horizontal dipole over, on, and in the earth or sea
343
36
Introduction
343
6
Horizontal traveling-wave antennas over earth or sea; Beverage antenna (l = 0, ε = k0/k2)
349
8
The terminated insulated antenna in earth or sea
357
2
Arrays of horizontal and vertical antennas over the earth
359
6
Horizontal antennas over the spherical earth
365
4
Horizontal electric dipoles for remote sensing on and in the earth, sea, or Arctic ice
369
3
Horizontal electric dipoles and patch antennas on microstrip
372
7
Application of the two-term theory to general arrays of parallel non-staggered elements
379
13
Brief derivation of the formulas
379
5
The complete two-term theory formulas
384
1
Remarks and programming considerations
385
5
Alternative form for the solution and the case kh = π/2
390
2
Resonances in large circular arrays of perfectly conducting dipoles
392
33
Introduction
392
4
The two-term theory and the modified kernel
396
3
Phase-sequence resonances
399
4
Behavior near a phase-sequence resonance
403
2
Radiation field at or near a phase-sequence resonance
405
3
Refinements for numerical calculations
408
1
Resonant array with two driven elements
409
11
Appendix: the various kernels for the circular array
420
5
Resonances in large circular arrays of highly conducting dipoles
425
27
Introduction
425
2
Integral equations
427
2
Two-term theory
429
1
Qualitative behavior
430
3
Numerical results
433
2
Field pattern
435
1
The effect of a highly conducting ground plane
436
10
Appendix: formulas for the large circular array of highly conducting dipoles
446
6
Direct numerical methods: a detailed discussion
452
23
Introduction
452
1
Properties of the integral equations
453
2
On the application of numerical methods
455
5
Additional remarks
460
3
Notes on arrays of cylindrical dipoles
463
2
Appendix: the infinite antenna
465
10
Techniques and theory of measurements
475
64
Transmission lines with coupled loads
476
5
Equivalent lumped elements for terminal-zone networks
481
6
Voltages, currents, and impedances of uniform sections of lines
487
5
Theoretical basis of impedance measurements
492
10
The measurement of self-and mutual impedance or admittance
502
6
Theory and properties of probes
508
12
Construction and use of field probes
520
14
The measurement of sharp resonances in circular arrays
534
5
Appendix I: Tables of ΨdR, T(m) or T(m) and self-and mutual admittances for single elements and circular arrays
539
14
Appendix II: Tables of matrix elements Φu and Φv for curtain arrays
553
26
Appendix III: Tables of admittance and impedance for curtain arrays
579
16
References
595
12
List of symbols
607
12
Index
619