Cover image for Metamaterials with negative parameter : theory, design, and microwave applications
Title:
Metamaterials with negative parameter : theory, design, and microwave applications
Personal Author:
Series:
Wiley series in microwave and optical engineering
Publication Information:
Hoboken, NJ : Wiley-Interscience, 2008
ISBN:
9780471745822

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30000010159406 TK7871.15.M3 M37 2008 Open Access Book Book
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Summary

Summary

The first general textbook to offer a complete overview of metamaterial theory and its microwave applications

Metamaterials with Negative Parameters represents the only unified treatment of metamaterials available in one convenient book. Devoted mainly to metamaterials that can be characterized by a negative effective permittivity and/or permeability, the book includes a wide overview of the most important topics, scientific fundamentals, and technical applications of metamaterials.

Chapter coverage includes: the electrodynamics of left-handed media, synthesis of bulk metamaterials, synthesis of metamaterials in planar technology, microwave applications of metamaterial concepts, and advanced and related topics, including SRR- and CSRR-based admittance surfaces, magneto- and electro-inductive waves, and sub-diffraction imaging devices. A list of problems and references is included at the end of each chapter, and a bibliography offers a complete, up-to-daterepresentation of the current state of the art in metamaterials.

Geared toward students and professionals alike, Metamaterials with Negative Parameters is an ideal textbook for postgraduate courses and also serves as a valuable introductory reference for scientists and RF/microwave engineers.


Author Notes

Ricardo Marques is a Professor in the Departamento de Electronica y Electromagnetismo at the Universidad de Sevilla in Spain
Ferran Martin is a Professor in the Department d'Enginyeria Electronica at the Universitat Autonoma de Barcelona in Spain
Mario Sorolla is a Professor in the Departamento de Ingenieria Electrica y Electronica at the Universidad Publica de Navarra in Spain


Table of Contents

Prefacep. xiii
Acknowledgmentsp. xvii
1 The Electrodynamics of Left-Handed Mediap. 1
1.1 Introductionp. 1
1.2 Wave Propagation in Left-Handed Mediap. 2
1.3 Energy Density and Group Velocityp. 4
1.4 Negative Refractionp. 6
1.5 Fermat Principlep. 9
1.6 Other Effects in Left-Handed Mediap. 9
1.6.1 Inverse Doppler Effectp. 10
1.6.2 Backward Cerenkov Radiationp. 10
1.6.3 Negative Goos-Hanchen Shiftp. 12
1.7 Waves at Interfacesp. 13
1.7.1 Transmission and Reflection Coefficientsp. 13
1.7.2 Surface Wavesp. 15
1.8 Waves Through Left-Handed Slabsp. 16
1.8.1 Transmission and Reflection Coefficientsp. 17
1.8.2 Guided Wavesp. 17
1.8.3 Backward Leaky and Complex Wavesp. 19
1.9 Slabs with [epsilon]/[epsilon subscript 0] to -1 and [mu]/[mu subscript 0] to -1p. 20
1.9.1 Phase Compensation and Amplification of Evanescent Modesp. 20
1.9.2 Perfect Tunnelingp. 21
1.9.3 The Perfect Lensp. 25
1.9.4 The Perfect Lens as a Tunneling/Matching Devicep. 29
1.10 Losses and Dispersionp. 32
1.11 Indefinite Mediap. 34
Problemsp. 35
Referencesp. 37
2 Synthesis of Bulk Metamaterialsp. 43
2.1 Introductionp. 43
2.2 Scaling Plasmas at Microwave Frequenciesp. 44
2.2.1 Metallic Waveguides and Plates as One- and Two-Dimensional Plasmasp. 44
2.2.2 Wire Mediap. 47
2.2.3 Spatial Dispersion in Wire Mediap. 49
2.3 Synthesis of Negative Magnetic Permeabilityp. 51
2.3.1 Analysis of the Edge-Coupled SRRp. 52
2.3.2 Other SRR Designsp. 59
2.3.2.1 The Broadside-Coupled SRRp. 60
2.3.2.2 The Nonbianisotropic SRRp. 62
2.3.2.3 The Double-Split SRRp. 62
2.3.2.4 Spiralsp. 62
2.3.3 Constitutive Relationships for Bulk SRR Metamaterialsp. 65
2.3.4 Higher-Order Resonances in SRRsp. 70
2.3.5 Isotropic SRRsp. 73
2.3.6 Scaling Down SRRs to Infrared and Optical Frequenciesp. 75
2.4 SRR-Based Left-Handed Metamaterialsp. 80
2.4.1 One-Dimensional SRR-Based Left-Handed Metamaterialsp. 81
2.4.2 Two-Dimensional and Three-Dimensional SRR-Based Left-Handed Metamaterialsp. 85
2.4.3 On the Application of the Continuous-Medium Approach to Discrete SRR-Based Left-Handed Metamaterialsp. 87
2.4.4 The Superposition Hypothesisp. 88
2.4.5 On the Numerical Accuracy of the Developed Model for SRR-Based Metamaterialsp. 90
2.5 Other Approaches to Bulk Metamaterial Designp. 91
2.5.1 Ferrite Metamaterialsp. 92
2.5.2 Chiral Metamaterialsp. 97
2.5.3 Other Proposalsp. 102
Appendixp. 107
Problemsp. 109
Referencesp. 114
3 Synthesis of Metamaterials in Planar Technologyp. 119
3.1 Introductionp. 119
3.2 The Dual (Backward) Transmission Line Conceptp. 120
3.3 Practical Implementation of Backward Transmission Linesp. 128
3.4 Two-Dimensional (2D) Planar Metamaterialsp. 131
3.5 Design of Left-Handed Transmission Lines by Means of SRRs: The Resonant Type Approachp. 135
3.5.1 Effective Negative Permeability Transmission Linesp. 136
3.5.2 Left-Handed Transmission Lines in Microstrip and CPW Technologiesp. 139
3.5.3 Size Reductionp. 144
3.6 Equivalent Circuit Models for SRRs Coupled to Conventional Transmission Linesp. 146
3.6.1 Dispersion Diagramsp. 151
3.6.2 Implications of the Modelp. 151
3.7 Duality and Complementary Split Ring Resonators (CSRRs)p. 155
3.7.1 Electromagnetic Properties of CSRRsp. 156
3.7.2 Numerical Calculation and Experimental Validationp. 160
3.8 Synthesis of Metamaterial Transmission Lines by Using CSRRsp. 163
3.8.1 Negative Permittivity and Left-Handed Transmission Linesp. 163
3.8.2 Equivalent Circuit Models for CSRR-Loaded Transmission Linesp. 166
3.8.3 Parameter Extractionp. 170
3.8.4 Effects of Cell Geometry on Frequency Responsep. 172
3.9 Comparison between the Circuit Models of Resonant-Type and Dual Left-Handed Linesp. 175
Problemsp. 180
Referencesp. 182
4 Microwave Applications of Metamaterial Conceptsp. 187
4.1 Introductionp. 187
4.2 Filters and Diplexersp. 188
4.2.1 Stopband Filtersp. 189
4.2.2 Planar Filters with Improved Stopbandp. 193
4.2.3 Narrow Bandpass Filter and Diplexer Designp. 198
4.2.3.1 Bandpass Filters Based on Alternate Right-/Left-Handed (ARLH) Sections Implemented by Means of SRRsp. 199
4.2.3.2 Bandpass Filters and Diplexers Based on Alternate Right-/Left-Handed (ARLH) Sections Implemented by Means of CSRRsp. 203
4.2.4 CSRR-Based Bandpass Filters with Controllable Characteristicsp. 207
4.2.4.1 Bandpass Filters Based on the Hybrid Approach: Design Methodology and Illustrative Examplesp. 208
4.2.4.2 Other CSRR-Based Filters Implemented by Means of Right-Handed Sectionsp. 218
4.2.5 Highpass Filters and Ultrawide Bandpass Filters (UWBPFs) Implemented by Means of Resonant-Type Balanced CRLH Metamaterial Transmission Linesp. 225
4.2.6 Tunable Filters Based on Varactor-Loaded Split Rings Resonators (VLSRRs)p. 227
4.2.6.1 Topology of the VLSRR and Equivalent-Circuit Modelp. 228
4.2.6.2 Validation of the Modelp. 230
4.2.6.3 Some Illustrative Results: Tunable Notch Filters and Stopband Filtersp. 230
4.3 Synthesis of Metamaterial Transmission Lines with Controllable Characteristics and Applicationsp. 233
4.3.1 Miniaturization of Microwave Componentsp. 234
4.3.2 Compact Broadband Devicesp. 236
4.3.3 Dual-Band Componentsp. 244
4.3.4 Coupled-Line Couplersp. 246
4.4 Antenna Applicationsp. 252
Problemsp. 258
Referencesp. 260
5 Advanced and Related Topicsp. 267
5.1 Introductionp. 267
5.2 SRR- and CSRR-Based Admittance Surfacesp. 268
5.2.1 Babinet Principle for a Single Split Ring Resonatorp. 268
5.2.2 Surface Admittance Approach for SRR Planar Arraysp. 270
5.2.3 Babinet Principle for CSRR Planar Arraysp. 272
5.2.4 Behavior at Normal Incidencep. 273
5.2.5 Behavior at General Incidencep. 274
5.3 Magneto- and Electro-Inductive Wavesp. 278
5.3.1 The Magneto-Inductive Wave Equationp. 279
5.3.2 Magneto-Inductive Surfacesp. 282
5.3.3 Electro-Inductive Waves in CSRR Arraysp. 284
5.3.4 Applications of Magneto- and Electro-Inductive Wavesp. 285
5.4 Subdiffraction Imaging Devicesp. 287
5.4.1 Some Universal Features of Subdiffraction Imaging Devicesp. 288
5.4.2 Imaging in the Quasielectrostatic Limit: Role of Surface Plasmonsp. 292
5.4.3 Imaging in the Quasimagnetostatic Limit: Role of Magnetostatic Surface Wavesp. 295
5.4.4 Imaging by Resonant Impedance Surfaces: Magneto-Inductive Lensesp. 299
5.4.5 Canalization Devicesp. 302
Problemsp. 304
Referencesp. 305
Indexp. 309