Cover image for Electromagnetic metamaterials : transmission line theory and microwave applications : the engineering approach
Title:
Electromagnetic metamaterials : transmission line theory and microwave applications : the engineering approach
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Hoboken, NJ : John Wiley and Sons, 2006
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9780471669852
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30000004586206 TK454.4.M3 C34 2006 Open Access Book Book
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Summary

Summary

Electromagnetic metamaterials-from fundamental physics to advanced engineering applications

This book presents an original generalized transmission line approach associated with non-resonant structures that exhibit larger bandwidths, lower loss, and higher design flexibility. It is based on the novel concept of composite right/left-handed (CRLH) transmission line metamaterials (MMs), which has led to the development of novel guided-wave, radiated-wave, and refracted-wave devices and structures.

The authors introduced this powerful new concept and are therefore able to offer readers deep insight into the fundamental physics needed to fully grasp the technology. Moreover, they provide a host of practical engineering applications.

The book begins with an introductory chapter that places resonant type and transmission line metamaterials in historical perspective. The next six chapters give readers a solid foundation in the fundamentals and practical applications:

Fundamentals of LH MMs describes the fundamental physics and exotic properties of left-handed metamaterials TL Theory of MMs establishes the foundations of CRLH structures in three progressive steps: ideal transmission line, LC network, and real distributed structure Two-Dimensional MMs develops both a transmission matrix method and a transmission line method to address the problem of finite-size 2D metamaterials excited by arbitrary sources Guided-Wave Applications and Radiated-Wave Applications present a number of groundbreaking applications developed by the authors The Future of MMs sets forth an expert view on future challenges and prospects

This engineering approach to metamaterials paves the way for a new generation of microwave and photonic devices and structures. It is recommended for electrical engineers, as well as physicists and optical engineers, with an interest in practical negative refractive index structures and materials.


Author Notes

Christophe Caloz, PhD, is a Professor at the Ecole Polytechnique de Montreal and a member of the university's Poly-Grames Research Center
Tatsuo Itoh, PhD, is Professor in the Electrical Engineering Department of the University of California, Los Angeles


Table of Contents

Prefacep. xiii
Acknowledgmentsp. xv
Acronymsp. xvii
1 Introductionp. 1
1.1 Definition of Metamaterials (MTMs) and Left-Handed (LH) MTMsp. 1
1.2 Theoretical Speculation by Viktor Veselagop. 3
1.3 Experimental Demonstration of Left-Handednessp. 4
1.4 Further Numerical and Experimental Confirmationsp. 9
1.5 "Conventional" Backward Waves and Novelty of LH MTMsp. 10
1.6 Terminologyp. 12
1.7 Transmission Line (TL) Approachp. 12
1.8 Composite Right/Left-Handed (CRLH) MTMsp. 16
1.9 MTMs and Photonic Band-Gap (PBG) Structuresp. 17
1.10 Historical "Germs" of MTMsp. 20
Referencesp. 22
2 Fundamentals of LH MTMsp. 27
2.1 Left-Handedness from Maxwell's Equationsp. 28
2.2 Entropy Conditions in Dispersive Mediap. 33
2.3 Boundary Conditionsp. 38
2.4 Reversal of Doppler Effectp. 39
2.5 Reversal of Vavilov-Cerenkov Radiationp. 41
2.6 Reversal of Snell's Law: Negative Refractionp. 43
2.7 Focusing by a "Flat LH Lens"p. 46
2.8 Fresnel Coefficientsp. 48
2.9 Reversal of Goos-Hanchen Effectp. 50
2.10 Reversal of Convergence and Divergence in Convex and Concave Lensesp. 51
2.11 Subwavelength Diffractionp. 53
Referencesp. 57
3 TL Theory of MTMsp. 59
3.1 Ideal Homogeneous CRLH TLsp. 59
3.1.1 Fundamental TL Characteristicsp. 60
3.1.2 Equivalent MTM Constitutive Parametersp. 67
3.1.3 Balanced and Unbalanced Resonancesp. 70
3.1.4 Lossy Casep. 74
3.2 LC Network Implementationp. 79
3.2.1 Principlep. 79
3.2.2 Difference with Conventional Filtersp. 83
3.2.3 Transmission Matrix Analysisp. 85
3.2.4 Input Impedancep. 100
3.2.5 Cutoff Frequenciesp. 103
3.2.6 Analytical Dispersion Relationp. 106
3.2.7 Bloch Impedancep. 113
3.2.8 Effect of Finite Size in the Presence of Imperfect Matchingp. 115
3.3 Real Distributed 1D CRLH Structuresp. 119
3.3.1 General Design Guidelinesp. 120
3.3.2 Microstrip Implementationp. 122
3.3.3 Parameters Extractionp. 124
3.4 Experimental Transmission Characteristicsp. 127
3.5 Conversion from Transmission Line to Constitutive Parametersp. 131
Referencesp. 131
4 Two-Dimensional MTMsp. 133
4.1 Eigenvalue Problemp. 134
4.1.1 General Matrix Systemp. 134
4.1.2 CRLH Particularizationp. 138
4.1.3 Lattice Choice, Symmetry Points, Brillouin Zone, and 2D Dispersion Representationsp. 139
4.2 Driven Problem by the Transmission Matrix Method (TMM)p. 143
4.2.1 Principle of the TMMp. 144
4.2.2 Scattering Parametersp. 145
4.2.3 Voltage and Current Distributionsp. 147
4.2.4 Interest and Limitations of the TMMp. 154
4.3 Transmission Line Matrix (TLM) Modeling Methodp. 154
4.3.1 TLM Modeling of the Unloaded TL Host Networkp. 155
4.3.2 TLM Modeling of the Loaded TL Host Network (CRLH)p. 158
4.3.3 Relationship between Material Properties and the TLM Model Parametersp. 159
4.3.4 Suitability of the TLM Approach for MTMsp. 161
4.4 Negative Refractive Index (NRI) Effectsp. 162
4.4.1 Negative Phase Velocityp. 162
4.4.2 Negative Refractionp. 163
4.4.3 Negative Focusingp. 165
4.4.4 RH-LH Interface Surface Plasmonsp. 167
4.4.5 Reflectors with Unusual Propertiesp. 169
4.5 Distributed 2D Structuresp. 170
4.5.1 Description of Possible Structuresp. 171
4.5.2 Dispersion and Propagation Characteristicsp. 173
4.5.3 Parameter Extractionp. 178
4.5.4 Distributed Implementation of the NRI Slabp. 183
Referencesp. 190
5 Guided-Wave Applicationsp. 192
5.1 Dual-Band Componentsp. 193
5.1.1 Dual-Band Property of CRLH TLsp. 193
5.1.2 Quarter-Wavelength TL and Stubsp. 197
5.1.3 Passive Component Examples: Quadrature Hybrid and Wilkinson Power Dividerp. 201
5.1.3.1 Quadrature Hybridp. 201
5.1.3.2 Wilkinson Power Dividerp. 202
5.1.4 Nonlinear Component Example: Quadrature Subharmonically Pumped Mixerp. 205
5.2 Enhanced-Bandwidth Componentsp. 210
5.2.1 Principle of Bandwidth Enhancementp. 211
5.2.2 Rat-Race Coupler Examplep. 215
5.3 Super-compact Multilayer "Vertical" TLp. 217
5.3.1 "Vertical" TL Architecturep. 219
5.3.2 TL Performancesp. 221
5.3.3 Diplexer Examplep. 225
5.4 Tight Edge-Coupled Coupled-Line Couplers (CLCs)p. 227
5.4.1 Generalities on Coupled-Line Couplersp. 228
5.4.1.1 TEM and Quasi-TEM Symmetric Coupled-Line Structures with Small Interspacing: Impedance Coupling (IC)p. 228
5.4.1.2 Non-TEM Symmetric Coupled-Line Structures with Relatively Large Spacing: Phase Coupling (PC)p. 232
5.4.1.3 Summary on Symmetric Coupled-Line Structuresp. 233
5.4.1.4 Asymmetric Coupled-Line Structuresp. 234
5.4.1.5 Advantages of MTM Couplersp. 235
5.4.2 Symmetric Impedance Couplerp. 235
5.4.3 Asymmetric Phase Couplerp. 245
5.5 Negative and Zeroth-Order Resonatorp. 249
5.5.1 Principlep. 249
5.5.2 LC Network Implementationp. 251
5.5.3 Zeroth-Order Resonator Characteristicsp. 253
5.5.4 Circuit Theory Verificationp. 256
5.5.5 Microstrip Realizationp. 258
Referencesp. 259
6 Radiated-Wave Applicationsp. 261
6.1 Fundamental Aspects of Leaky-Wave Structuresp. 262
6.1.1 Principle of Leakage Radiationp. 262
6.1.2 Uniform and Periodic Leaky-Wave Structuresp. 266
6.1.2.1 Uniform LW Structuresp. 266
6.1.2.2 Periodic LW Structuresp. 268
6.1.3 Metamaterial Leaky-Wave Structuresp. 269
6.2 Backfire-to-Endfire (BE) Leaky-Wave (LW) Antennap. 270
6.3 Electronically Scanned BE LW Antennap. 275
6.3.1 Electronic Scanning Principlep. 276
6.3.2 Electronic Beamwidth Control Principlep. 277
6.3.3 Analysis of the Structure and Resultsp. 279
6.4 Reflecto-Directive Systemsp. 282
6.4.1 Passive Retro-Directive Reflectorp. 283
6.4.2 Arbitrary-Angle Frequency Tuned Reflectorp. 286
6.4.3 Arbitrary-Angle Electronically Tuned Reflectorp. 287
6.5 Two-Dimensional Structuresp. 290
6.5.1 Two-Dimensional LW Radiationp. 290
6.5.2 Conical-Beam Antennap. 292
6.5.3 Full-Space Scanning Antennap. 296
6.6 Zeroth Order Resonating Antennap. 297
6.7 Dual-Band CRLH-TL Resonating Ring Antennap. 300
6.8 Focusing Radiative "Meta-Interfaces"p. 304
6.8.1 Heterodyne Phased Arrayp. 305
6.8.2 Nonuniform Leaky-Wave Radiatorp. 310
Referencesp. 313
7 The Future of MTMsp. 316
7.1 "Real-Artificial" Materials: the Challenge of Homogenizationp. 316
7.2 Quasi-Optical NRI Lenses and Devicesp. 319
7.3 Three-Dimensional Isotropic LH MTMsp. 323
7.4 Optical MTMsp. 328
7.5 "Magnetless" Magnetic MTMsp. 329
7.6 Terahertz Magnetic MTMsp. 330
7.7 Surface Plasmonic MTMsp. 331
7.8 Antenna Radomes and Frequency Selective Surfacesp. 338
7.9 Nonlinear MTMsp. 339
7.10 Active MTMsp. 341
7.11 Other Topics of Interestp. 341
Referencesp. 342
Indexp. 347