The Essence of Dielectric Waveguides

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Springer Science & Business Media, 17 июн. 2008 г. - Всего страниц: 522
“It is our responsibility as scientists, knowing the great progress which comes from a satisfactory philosophy of ignorance, the great progress which is the fruit of freedom of thought, to proclaim the value of this freedom, to teach how doubt is not to be feared but welcomed and discussed; and to demand this freedom as our duty to all coming generations” —— Richard Feynman, 1955 —— First, as students from Cal Tech and MIT and then as researchers and teachers from other universities and industry, we are bene?ted greatly from the philo- phy of learning practiced by these and other distinguished universities in the US, namely, learn and teach the fundamentals and not the fashions. Under this guiding light, this comprehensive book was formed, covering the most important modern topics on guided waves. As such, it may be used as a research reference book or as a textbook for senior undergraduate students or ?rst-year graduate students. The lectures for an one-semester or one-quarter course on guided waves along surface wave structures can begin with a review of EM fundamentals (Chap. 2), and then move on to a discussion on the general important and relevant characteristics of these guided surface waves (Chap. 3). Then follows the rigorous analytic treatment for canonical structures (planar, circular, and elliptical) (Chaps. 4–8). By the end of these lectures, the students would have gained a very solid theoretical fo- dation on this subject. Then the fun part starts.
 

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8212 Waves in Metallic Rectangular Waveguide Filled with Transversely Inhomogeneous Dielectrics
249
8213 Circularly Symmetric Waves Along a Cylindrical Radially Inhomogeneous Dielectric Cylinder
252
822 Structures with Longitudinal Inhomogeneity
255
8221 Longitudinal Periodic Medium
256
8222 Solutions to the Hill Equation
259
8223 Propagation Characteristics of Type II TM Waves in Periodic Structures
261
References
264
Optical Fibers
265

225 Dielectric Medium with Loss 11
17
226 Nonlinear Medium 17
18
23 Boundary Conditions Radiation Condition and Edge Condition
20
232 Radiation Condition 3
28
234 Uniqueness Theorem
29
25 Classification of Fields
32
251 The Debye Potentials
33
252 Basic Wave Types
34
253 Separation of Variables
39
2532 Circular Cylinder Coordinates r 6 z
40
2533 Elliptical Cylinder Coordinates nz The variables and the metrical coefficients are
41
2534 Parabolic Cylinder Coordinates nz The variables and the metrical coefficients are
42
26 Polarization of Waves
44
28 The Impedance Concept 31
46
29 Validity of the Scalar Wave Approach
47
References
52
Propagation Characteristics of Guided Waves Along a Dielectric
55
32 Formal Approach to the Surface Waveguide Problems
57
Dispersion Relations
59
34 Geometrical Optics Approach
62
35 Attenuation Constant
65
351 Single Mode Case
66
352 Multimode Case
68
36 Signal Dispersion and Distortion
70
37 α and Q
76
38 Excitation of Modes on a Dielectric Waveguide
79
3811 Incident Plane Wave
81
3812 Incident Gaussian Beam
82
382 Excitation Through Efficient Transitions 39
85
39 Coupled Mode Theory
87
310 Bends and Corners for Dielectric Waveguides
89
311 Systems and Noise
92
References
96
Planar Dielectric Waveguides
99
42 Dielectric Slab Waveguide
100
421 The TM Surface Wave Modes
101
4211 Cutoff Conditions for TM Modes
103
4212 Distribution of Guided Power
105
4213 Attenuation
106
422 The TE Surface Wave Mode
107
423 Special Cases and Numerical Examples
109
43 Leaky Wave in a Heteroepitaxial Film Slab Waveguide 3
112
431 Leaky Modes along an Asymmetric Dielectric Waveguide
114
432 Approximate Solutions of the Characteristic Equations
115
44 Multilayered Dielectric Slab Waveguides 4
118
45 Coupling Between Two Parallel Dielectric Slab Waveguides 5
122
46 The SommerfeldZenneck Surface Impedance Waveguide 6
131
References
135
Circular Dielectric Waveguides
136
51 Fundamental Equations
138
52 Modes on Uniform Solid Core Circular Dielectric Cylinder
139
521 Dispersion Relations
141
522 Cutoff Conditions
144
523 Attenuation
147
5232 The Perturbation Approach
148
524 Field Configurations
150
53 The SommerfeldGoubau Wire
152
54 Modes on Radially Inhomogeneous Core Circular Dielectric Cylinder
155
542 Selected Examples
160
543 Hollow Cylindrical Dielectric Waveguide
165
55 Experimental Determination of Propagation Characteristics of Circular Dielectric Waveguides
167
552 Measured Results
172
56 Summary and Conclusions
176
References
177
Elliptical Dielectric Waveguides
179
61 Formulation of the Problem
180
62 Boundary Conditions
184
63 Mode Classifications
188
64 The Dispersion Relations
189
641 Cutoff Frequencies of Modes
197
642 Transition to Circular CrossSection
199
643 Approximate Characteristic Equations
201
644 Propagation Characteristics
203
6441 The Even Dominant eHE11 Mode
204
6442 The Odd Dominant oHE11 Mode
205
6443 Higher Order eoHEnm Modes
206
645 Field Configurations of the Dominant Modes
207
646 Attenuation Calculation
209
65 Weakly Guiding Elliptical Dielectric Waveguides 1315
210
66 Experimental Results
214
67 Comments
218
Approximate Methods
221
7111 The Eynm Modes
223
7112 The Ezm Modes
229
712 Examples
230
72 The Circular Harmonics Method
231
73 Experimental Measurements
238
References
240
Inhomogeneous Dielectric Waveguides
241
811 Rectangular Coordinates xy z
242
812 Spherical Coordinates r 0 j
243
813 Circular Cylindrical Coordinates p 0 z
244
82 Applications
245
821 Structures with Transverse Inhomogeneity
246
92 Dispersion
271
922 Waveguide Dispersion
272
923 Total Dispersion
273
93 Attenuation
276
95 Selected Solutions to the Propagation Equation
282
96 Wavelength Division Multiplexed Beams WDM
284
961 BitParallel WDM SingleFiber Link
286
9621 The Transmitter
287
9623 The Receiver
289
97 Concluding Remarks
290
References
291
Solitons and WDM Solitons
294
101 Nonlinear Refractive Index
296
102 The Nonlinear Pulse Propagation Equation
298
103 Solution of the Nonlinear Pulse Propagation Equation
305
104 Nonlinear Pulse Propagation for WDM Beams CrossField Modulation Effects
307
1041 SelfPhase Modulation SPM and CrossPhase Modulation CPM
309
1042 Normalized Nonlinear Propagation Equations for WDM Beams
310
105 Soliton on a Single Beam
311
1052 Dark Solitons
313
1061 Pulse Shepherding Effect Dynamic Control of InFlight Pulses with a Shepherd Pulse 9
314
10611 Without Shepherd Pulse
315
10612 With Shepherd Pulse
316
1062 Enhanced Pulse Compression in a Nonlinear Fiber by a WDM Optical Pulse 10
319
10621 Shepherding and Primary Pulses are all in the Anomalous Dispersion Region
320
10622 The Shepherd Pulse is in the Normal Dispersion Region and the Primary Pulse is in the Anomalous Dispersion Regime
326
1063 Generation of TimeAligned Picosecond Pulses on WavelengthDivision Multiplexed Beams in a Nonlinear Fiber 11
328
10631 Generation of TimeAligned Pulses
329
10633 Experimental Setup and Results
330
1064 Bit Parallel WDM Solitons
334
References
337
Ultra Low Dielectric Waveguides
339
1111 Normal Mode Solution
340
1113 Relationship Between Geometrical Loss Factors for TELike Mode and for TMLike Mode
343
112 Experimental Verification
345
113 An Example of LowLoss Terahertz Ribbon Waveguide 15
350
References
356
Plasmon Sub WavelengthWaveguides
359
121 TM Wave Guidance Along a Metallic Substrate
360
122 TM Wave Guidance Along a Metallic Film 1213
365
123 Wave Guidance by Metal Ribbons
371
124 SPP Waves Along Cylindrical Structures
373
1242 HE Waves
381
125 Nanofibers Subwavelength Guiding Structures
382
126 Conclusions and Discussion
385
References
387
Photonic Crystal Waveguide
389
132 StopBand and PassBand Property
391
133 DielectricRod Array Waveguide
393
134 Band Gap and Waveguide Bends
394
135 Photonic Bandgap Fiber
396
136 Analytical Study of Surface Wave Propagation Along a Periodic Structure
397
References
406
Metamaterial and Other Waveguide
408
1412 Reflection and Transmission of Electromagnetic Waves by a Moving Plasma Medium
410
1413 Mode Propagation Along Moving Dielectric Slabs 1
418
14131 TE Modes
419
14132 TM Modes
420
1414 Mode Propagation Along a Moving Dielectric Cylinder
421
1415 Wave Propagation on a Moving Plasma Column
425
142 Anisotropic Medium Waveguides
429
143 Metamaterial Artificial Dielectric Waveguides
435
1431 Some Special Properties of Metamaterial 12
436
14312 Snells Law for n0
437
14314 Fresnel Formulas
439
14315 Formation of Metamaterials
441
1432 Metamaterial Surface Waveguides
442
References
449
Selected Numerical Approaches
451
151 Outer Radiation Boundary Condition ORBC for Computational Space
452
1521 Circular Fiber
461
1522 Rectangular Structures
463
1523 Triangular Dielectric Guides
466
1524 Elliptical Dielectric Guide
467
1525 Single Material Fiber Guide
468
1526 Concluding Remarks
470
1531 Formulation of the Problem and the Numerical Approach
471
1532 Gaussian Beam Propagation in a Radially Inhomogeneous Fiber
474
1533 Fiber Couplers
478
1534 Fiber Tapers and Horns
485
1535 ωβ Diagram from BPM
486
15351 The StepIndex Circular Fiber
491
15352 GradedIndex Circular Fiber
492
15353 Rectangular Fiber
493
15354 Elliptical Fiber
495
15356 DiffusedChannel Rectangular Waveguide
496
154 Finite Difference Time Domain Method FDTD
498
1542 Ribbon Waveguide Assembled from Dielectric Rods
499
1543 Dielectric Waveguide Transitions
500
155 Concluding Remarks
504
References
506
Subject Index
509
Author Index
516
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Стр. vii - It is our responsibility as scientists, knowing the great progress and great value of a satisfactory philosophy of ignorance, the great progress that is the fruit of freedom of thought, to proclaim the value of this freedom, to teach how doubt is not to be feared but welcomed and discussed and to defend this freedom as our duty to all coming generations. — RP FEYNMAN, Norman Bridge Laboratory of Physics, California Institute of Technology. This editorial is based on an address, "The value of science,"...

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