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The increasing capabilities of digital computation have altered the way electromagnetic problems are being solved. It is no longer necessary that analytical solutions be obtained. Many practical problems with complicated geometries for which there are no closed form analytic solutions can now be solved numerically. Nevertheless, understanding of the fundamental behavior (the essence) of the solutions must still be gained from analytic solutions of canonical problems. In other words, correct interpretation of the numerical results must depend on knowing the essence of guided waves on certain related canonical structure. Therefore, the primary goal of this book is to provide an insight into this essence.
Review of the wave guiding structures over the whole electromagnetic spectrum shows that, for frequencies below 30 GHz, mostly metal-based structures are used, and for frequencies above 30 GHz, increasing skin-depth losses in metal requires that these structures be made without the use of metallic material. Hence, the importance of pure dielectric waveguides for carrying large bandwidth signals is established in frequency range from 30 GHz and beyond.
The plethora of dielectric waveguides and its vast modern applications mean that it is not possible to write an all-encompassing book on dielectric waveguides. Therefore, our goal is to write a "back to the basics" book that provides the foundation of dielectric waveguide that is useful, clear and easy to understand. The understanding of the basic underlying principles will lead to improved and innovative applications based on a dielectric structure.
Industry Reviews
From the reviews:
"The book is intended to cover the fundamentals of wave-guiding structures over the whole electromagnetic spectrum. ... workers in the field, who employ exclusively numerical methods to treat their problems, would greatly profit reading this comprehensive text ... . The coverage of subjects is ample, diversified, and many up to date arguments are treated. ... very useful to researchers and students involved with optical communications photonics and applied electromagnetics. ... researcher in the field should have this book in his/her personal library." (Mario Bertolotti, Contemporary Physics, Vol. 52 (1), 2011)Introduction | p. 1 |
Brief Historical Background | p. 1 |
Scope of this Book | p. 7 |
References | p. 8 |
Fundamental Electromagnetic Field Equations | p. 11 |
Maxwell Equations | p. 11 |
The Constitutive Relations | p. 13 |
Simple Medium (Linear and Isotropic) | p. 14 |
Anisotropic Medium | p. 15 |
Left-Handed Medium (Metamaterial) | p. 16 |
Conducting Medium | p. 16 |
Dielectric Medium with Loss | p. 17 |
Nonlinear Medium | p. 18 |
Boundary Conditions, Radiation Condition, and Edge Condition | p. 20 |
Boundary Conditions | p. 20 |
Radiation Condition | p. 28 |
Edge Condition | p. 28 |
Uniqueness Theorem | p. 29 |
Energy Relations: Poynting's Vector Theorem | p. 29 |
Classification of Fields | p. 32 |
The Debye Potentials | p. 33 |
Basic Wave Types | p. 34 |
Separation of Variables | p. 39 |
Rectangular Coordinates (x, y, z) | p. 39 |
Circular Cylinder Coordinates (r, [theta], z) | p. 40 |
Elliptical Cylinder Coordinates ([xi], [eta], z) | p. 41 |
Parabolic Cylinder Coordinates ([xi], [eta], z) | p. 42 |
Polarization of Waves | p. 44 |
Linearly Polarized Waves | p. 44 |
Circularly Polarized Waves | p. 44 |
Elliptically Polarized Waves | p. 44 |
Phase Velocity and Group Velocity | p. 44 |
The Impedance Concept | p. 46 |
Validity of the Scalar Wave Approach | p. 47 |
References | p. 52 |
Propagation Characteristics of Guided Waves Along a Dielectric Guide | p. 55 |
Typical Surface Waveguide Structures | p. 55 |
Formal Approach to the Surface Waveguide Problems | p. 57 |
The [omega]-[beta] Diagram: Dispersion Relations | p. 59 |
Geometrical Optics Approach | p. 62 |
Attenuation Constant | p. 65 |
Single Mode Case | p. 66 |
Multimode Case | p. 68 |
Signal Dispersion and Distortion | p. 70 |
[alpha] and Q | p. 76 |
Excitation of Modes on a Dielectric Waveguide | p. 79 |
Excitation Through Direct Incidence | p. 79 |
Incident Plane Wave | p. 81 |
Incident Gaussian Beam | p. 82 |
Excitation Through Efficient Transitions | p. 85 |
Coupled Mode Theory | p. 87 |
Bends and Corners for Dielectric Waveguides | p. 89 |
Systems and Noise | p. 92 |
References | p. 96 |
Planar Dielectric Waveguides | p. 99 |
Fundamental Equations | p. 99 |
Dielectric Slab Waveguide | p. 100 |
The TM Surface Wave Modes | p. 101 |
Cutoff Conditions for TM Modes | p. 103 |
Distribution of Guided Power | p. 105 |
Attenuation | p. 106 |
The TE Surface Wave Mode | p. 107 |
Special Cases and Numerical Examples | p. 109 |
Leaky Wave in a Heteroepitaxial Film Slab Waveguide | p. 112 |
Leaky Modes along an Asymmetric Dielectric Waveguide | p. 114 |
Approximate Solutions of the Characteristic Equations | p. 115 |
Multilayered Dielectric Slab Waveguides | p. 118 |
Coupling Between Two Parallel Dielectric Slab Waveguides | p. 122 |
The Sommerfeld-Zenneck Surface Impedance Waveguide | p. 131 |
References | p. 135 |
Circular Dielectric Waveguides | p. 137 |
Fundamental Equations | p. 138 |
Modes on Uniform Solid Core Circular Dielectric Cylinder | p. 139 |
Dispersion Relations | p. 141 |
Cutoff Conditions | p. 144 |
Attenuation | p. 147 |
The Exact Approach | p. 147 |
The Perturbation Approach | p. 148 |
Field Configurations | p. 150 |
The Sommerfeld-Goubau Wire | p. 152 |
Modes on Radially Inhomogeneous Core Circular Dielectric Cylinder | p. 155 |
Formulation of the Problem | p. 155 |
Selected Examples | p. 160 |
Hollow Cylindrical Dielectric Waveguide | p. 165 |
Experimental Determination of Propagation Characteristics of Circular Dielectric Waveguides | p. 167 |
Ultrahigh Q Dielectric Rod Resonant Cavity | p. 167 |
Measured Results | p. 172 |
Summary and Conclusions | p. 176 |
References | p. 177 |
Elliptical Dielectric Waveguides | p. 179 |
Formulation of the Problem | p. 180 |
Boundary Conditions | p. 184 |
Mode Classifications | p. 188 |
The Dispersion Relations | p. 189 |
Cutoff Frequencies of Modes | p. 197 |
Transition to Circular Cross-Section | p. 199 |
Approximate Characteristic Equations | p. 201 |
Propagation Characteristics | p. 203 |
The Even Dominant [subscript e]HE[subscript 11] Mode | p. 204 |
The Odd Dominant [subscript o]HE[subscript 11] Mode | p. 205 |
Higher Order [subscript e,o]HE[subscript n'm'] Modes | p. 206 |
Field Configurations of the Dominant Modes | p. 207 |
Attenuation Calculation | p. 209 |
Weakly Guiding Elliptical Dielectric Waveguides | p. 210 |
Experimental Results | p. 214 |
Comments | p. 218 |
References | p. 218 |
Approximate Methods | p. 221 |
Marcatili's Approximate Method | p. 221 |
Approximate Solution for a Rectangular Dielectric Waveguide | p. 221 |
The E[subscript nm superscript y] Modes | p. 223 |
The E[subscript nm superscript y] Modes | p. 229 |
Examples | p. 230 |
The Circular Harmonics Method | p. 231 |
Experimental Measurements | p. 238 |
References | p. 240 |
Inhomogeneous Dielectric Waveguides | p. 241 |
Debye Potentials for Inhomogeneous Medium | p. 241 |
Rectangular Coordinates (x, y, z) | p. 242 |
Spherical Coordinates (r, [theta], [phi]) | p. 243 |
Circular Cylindrical Coordinates (p, [theta], z) | p. 244 |
Applications | p. 245 |
Structures with Transverse Inhomogeneity | p. 246 |
Wave Propagation along a Dielectric Slab with [epsilon](x) and [pi subscript o] Immersed in Free-space | p. 246 |
Waves in Metallic Rectangular Waveguide Filled with Transversely Inhomogeneous Dielectrics | p. 249 |
Circularly Symmetric Waves along a Cylindrical Radially Inhomogeneous Dielectric Cylinder | p. 252 |
Structures with Longitudinal Inhomogeneity | p. 255 |
Longitudinal Periodic Medium | p. 256 |
Solutions to the Hill Equation | p. 259 |
Propagation Characteristics of Type (II) (TM) Waves in Periodic Structures | p. 261 |
References | p. 264 |
Optical Fibers | p. 265 |
Weakly Guiding Optical Fibers | p. 265 |
Dispersion | p. 271 |
Material Dispersion | p. 271 |
Waveguide Dispersion | p. 272 |
Total Dispersion | p. 273 |
Attenuation | p. 276 |
The Propagation Equation | p. 276 |
Selected Solutions to the Propagation Equation | p. 282 |
Wavelength Division Multiplexed Beams (WDM) | p. 284 |
Bit-Parallel WDM Single-Fiber Link | p. 286 |
Elements of a 12-Bit Parallel WDM System | p. 286 |
The Transmitter | p. 287 |
The Single-Mode Fiber | p. 287 |
The Receiver | p. 289 |
Design Considerations | p. 289 |
Wavelength Spacing Considerations | p. 289 |
Skew and Walk-off Considerations | p. 289 |
Loss Considerations | p. 289 |
Experimental Demonstration of a Two Wavelength BP-WDM System | p. 289 |
Concluding Remarks | p. 290 |
References | p. 291 |
Solitons and WDM Solitons | p. 295 |
Nonlinear Refractive Index | p. 296 |
The Nonlinear Pulse Propagation Equation | p. 298 |
Solution of the Nonlinear Pulse Propagation Equation | p. 305 |
Nonlinear Pulse Propagation for WDM Beams (Cross-Field Modulation Effects) | p. 307 |
Self-Phase Modulation (SPM) and Cross-Phase Modulation (CPM) | p. 309 |
Normalized Nonlinear Propagation Equations for WDM Beams | p. 310 |
Soliton on a Single Beam | p. 311 |
Bright Solitons | p. 311 |
Dark Solitons | p. 313 |
Applications of Nonlinear Cross-Field Modulation (CPM) Effect | p. 313 |
Pulse Shepherding Effect (Dynamic Control of In-Flight Pulses with a Shepherd Pulse) | p. 314 |
Without Shepherd Pulse | p. 315 |
With Shepherd Pulse | p. 316 |
Enhanced Pulse Compression in a Nonlinear Fiber by a WDM Optical Pulse | p. 319 |
Shepherding and Primary Pulses are all in the Anomalous Dispersion Region | p. 320 |
The Shepherd Pulse is in the Normal Dispersion Region and the Primary Pulse is in the Anomalous Dispersion Regime | p. 326 |
The Shepherd Pulse and Primary Pulses are all in the Normal Dispersion Region | p. 326 |
Additional Simulation Study on WDM Copropagating Pulses | p. 326 |
Generation of Time-Aligned Picosecond Pulses on Wavelength-Division-Multiplexed Beams in a Nonlinear Fiber | p. 328 |
Generation of Time-Aligned Pulses | p. 329 |
Computer Simulation Results | p. 329 |
Experimental Setup and Results | p. 330 |
Bit Parallel WDM Solitons | p. 334 |
References | p. 337 |
Ultra Low-Loss Dielectric Waveguides | p. 339 |
Theoretical Foundation | p. 339 |
Normal Mode Solution | p. 340 |
Geometrical Loss Factor | p. 340 |
Relationship between Geometrical Loss Factors for TE-Like Mode and for TM-Like Mode | p. 343 |
External Field Decay Consideration | p. 343 |
Experimental Verification | p. 345 |
Example of Low-Loss Terahertz Ribbon Waveguide | p. 350 |
References | p. 356 |
Plasmon (SubWavelength) Waveguides | p. 359 |
TM Wave Guidance Along a Metallic Substrate | p. 360 |
TM Wave Guidance Along a Metallic Film | p. 365 |
Wave Guidance by Metal Ribbons | p. 371 |
SPP Waves Along Cylindrical Structures | p. 373 |
TM Waves | p. 373 |
HE Waves | p. 381 |
Nanofibers (Subwavelength Guiding Structures) | p. 382 |
Conclusions and Discussion | p. 385 |
References | p. 387 |
Photonic Crystal Waveguides | p. 389 |
Fundamental Properties of Guided Waves in Periodic Structures | p. 389 |
Stop-Band and Pass-Band Property | p. 391 |
Dielectric-Rod Array Waveguide | p. 393 |
Band Gap and Waveguide Bends | p. 394 |
Photonic Bandgap Fiber | p. 396 |
Analytic Study of Surface Wave Propagation Along a Periodic Structure | p. 397 |
References | p. 406 |
Metamaterial and Other Waveguides | p. 409 |
Moving Dielectric Waveguides | p. 409 |
Relativity, Lorentz Transformation, and Minkowski Transformation | p. 409 |
Reflection and Transmission of Electromagnetic Waves by a Moving Plasma Medium | p. 410 |
Mode Propagation Along Moving Dielectric Slabs | p. 418 |
TE Modes | p. 419 |
TM Modes | p. 420 |
Mode Propagation Along a Moving Dielectric Cylinder | p. 421 |
Wave Propagation on a Moving Plasma Column | p. 425 |
Anisotropic Medium Waveguides | p. 429 |
Metamaterial Artificial Dielectric Waveguides | p. 435 |
Some Special Properties of Metamaterial | p. 436 |
If [epsilon] < 0 and [pi] < 0, Then n < 0 | p. 436 |
Snell's Law for n < 0 | p. 437 |
Poynting's Vector and Wave Vector in Metamaterial | p. 437 |
Fresnel Formulas | p. 439 |
Formation of Metamaterials | p. 441 |
Cloaking with Metamaterial | p. 441 |
Metamaterial Surface Waveguides | p. 442 |
References | p. 449 |
Selected Numerical Approaches | p. 451 |
Outer Radiation Boundary Condition (ORBC) for Computational Space | p. 452 |
Finite Element Method (FEM) | p. 452 |
Circular Fiber | p. 461 |
Rectangular Structures | p. 463 |
Triangular Dielectric Guides | p. 466 |
Elliptical Dielectric Guide | p. 467 |
Single Material Fiber Guide | p. 468 |
Concluding Remarks | p. 470 |
Beam Propagation Method (BPM) or Forward Marching Split-Step Fast Fourier Transform Method | p. 470 |
Formulation of the Problem and the Numerical Approach | p. 471 |
Gaussian Beam Propagation in a Radially Inhomogeneous Fiber | p. 474 |
Fiber Couplers | p. 478 |
Fiber Tapers and Horns | p. 485 |
[omega]-[beta] Diagram From BPM | p. 486 |
The Step-Index Circular Fiber | p. 491 |
Graded-Index Circular Fiber | p. 492 |
Rectangular Fiber | p. 493 |
Elliptical Fiber | p. 495 |
Triangular Fiber | p. 495 |
Diffused-Channel Rectangular Waveguide | p. 496 |
Non-Axisymmetric Graded-Index Fiber | p. 496 |
Finite Difference Time Domain Method (FDTD) | p. 498 |
Excitation of a Ribbon Dielectric Waveguide | p. 498 |
Ribbon Waveguide Assembled from Dielectric Rods | p. 499 |
Dielectric Waveguide Transitions | p. 500 |
Concluding Remarks | p. 504 |
References | p. 506 |
Subject Index | p. 509 |
Author Index | p. 517 |
Table of Contents provided by Ingram. All Rights Reserved. |
ISBN: 9780387309293
ISBN-10: 0387309292
Published: 24th June 2008
Format: Hardcover
Language: English
Number of Pages: 540
Audience: Professional and Scholarly
Publisher: Springer Nature B.V.
Country of Publication: US
Dimensions (cm): 23.39 x 15.6 x 3.02
Weight (kg): 0.93
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