An introduction to graphene plasmonics:
"The book aims at the graduate student entering the field of graphene plasmonics. It is essentially self-contained and brings together a number of different topics about the field that are scattered in a vast literature. The text is composed of eleven chapters and of a set of detailed appendice...
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New Jersey
World Scientific
[2016]
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Inhaltsverzeichnis |
| Summary: | "The book aims at the graduate student entering the field of graphene plasmonics. It is essentially self-contained and brings together a number of different topics about the field that are scattered in a vast literature. The text is composed of eleven chapters and of a set of detailed appendices. It can be read in two different ways: Reading only the chapters to get acquainted with the field of plasmonics in graphene or reading the chapters and studying the appendices to get a working knowledge of the topic. Thus, the book provides a good training for the students on the different aspects of the field"... |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | xxix, 431 pages illustrations |
| ISBN: | 9789814749978 9814749974 9789814749985 9814749982 |
Staff View
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| adam_text |
AN INTRODUCTION TO GRAPHENE PLASMONICS
/ GONCALVES, P. A. D.YYEAUTHOR
: 2016
TABLE OF CONTENTS / INHALTSVERZEICHNIS
ELECTROMAGNETIC PROPERTIES OF SOLIDS IN A NUTSHELL
SURFACE PLASMON-POLARITONS AT DIELECTRIC-METAL INTERFACES
GRAPHENE SURFACE PLASMONS
EXCITATION OF GRAPHENE SURFACE PLASMONS
LAUNCHING PLASMONS USING A METALLIC ANTENNA
PLASMONICS IN A PERIODIC ARRAY OF GRAPHENE-BASED MICRORIBBONS
PLASMONS IN GRAPHENE NANOSTRUCTURES AND IN ONEDIMENSIONAL DEFECTS
EXCITATION OF SURFACE PLASMON-POLARITONS USING DIELECTRIC GRATINGS
EXCITATION OF PLASMONS BY AN EMITTING DIPOLE
DIESES SCHRIFTSTCK WURDE MASCHINELL ERZEUGT.
Titel: An introduction to graphene plasmonics
Autor: Gonçalves, P. A. D
Jahr: 2016
Contents
Foreword vii
Preface ix
Acknowledgments xiii
List of Figures xvii
List of Tables xix
1. Introduction 1
1.1 Plasmonics: Generalities. 1
1.2 Plasmonics: Recent Developments . 3
2. Electromagnetic Properties of Solids in a Nutshell 11
2.1 Classical Electrodynamics Basics. 11
2.1.1 Maxwell's equations. 11
2.1.2 Boundary conditions. 14
2.2 Drude Model. 14
2.3 Preliminaries to Graphene Plasmonics. 17
2.3.1 Elementary electronic properties . 17
2.3.2 The optical conductivity of graphene. 24
2.3.3 Lindhard function: Beyond the local approximation 28
2.3.4 Lindhard polarization function in relaxation-time
approximation: The case of graphene. 33
2.4 The Transfer-Matrix Method and the First Appearance of
Plasmons in Graphene. 35
2.4.1 Transfer-matrix for a graphene monolayer. 36
xvi An Introduction to Graphene Plasmonics
2.4.2 Transmittance, reflectance and absorbance of elec-
tromagnetic radiation by a graphene monolayer . 38
2.4.3 Transfer-matrix for a graphene double-layer . 40
2.4.4 Transfer-matrix for multi-layer graphene structures 42
2.4.5 Plasmons: A transfer-matrix approach. 45
3. Surface Plasmon-Polaritons at Dielectric-Metal Interfaces 47
3.1 Single Dielectric-Metal Interface. 47
3.1.1 Dispersion relation. 48
3.1.2 Propagation length and field confinement. 54
3.2 Multilayer Structures. 57
3.2.1 Double Interface. 57
3.2.2 Dispersion relation. 59
3.3 A Short Note on Perfect Conductors. 64
4. Graphene Surface Plasmons 67
4.1 Monolayer Graphene. 67
4.1.1 Spectrum of GSPs . 68
4.1.2 Field profile of GSPs in single-layer graphene . 75
4.1.3 Plasmon dispersion revisited. 78
4.1.4 Loss function . 81
4.1.5 A word on TE surface waves. 85
4.2 Double-Layer Graphene. 86
4.2.1 Dispersion relation. 87
4.2.2 Field profile of GSPs in double-layer graphene . . 91
4.2.3 Plasmon dispersion beyond the Drude model ap-
proximation . 94
4.3 Surface Plasmon-Phonon-Polaritons in Graphene. 101
4.3.1 Grapheneon SiC. 103
4.3.2 Graphene on Si02. 106
4.4 Magneto-Plasmons in Monolayer Graphene. 112
4.4.1 Derivation of the spectrum's condition. 113
4.4.2 Solution of the semi-classical spectrum's condition
in a special limit. 115
4.4.3 Spectrum of magneto-plasmons in the quantum
regime: Landau quantization. 120
4.5 A Detour: Surface Phonon-Polaritons in hBN. 124
4.5.1 Solution of the electromagnetic problem. 125
Contents xvü
4.5.2 Guided phonon-polariton modes. 128
5. Excitation of Graphene Surface Plasmons 131
5.1 Grating Coupling. 131
5.1.1 Graphene on Gallium-Arsenide: The role of SO
phonons. 132
5.2 Prism Coupling. 134
5.2.1 Otto configuration: Single-layer graphene. 134
5.3 Near-field Excitation and Imaging of GSPs. 140
5.4 Others. 142
5.5 Excitation of SPP's by a Moving Line of Charge. 143
6. Launching Plasmons Using a Metallic Antenna 149
6.1 Theoretical Model and Integral Equation. 149
6.2 Approximate Solution via Fourier Expansion. 153
6.3 Results and Discussion. 156
7. Plasmonics in Periodic Arrays of Graphene Ribbons 163
7.1 A Seminal Paper. 163
7.2 Theoretical Model. 167
7.2.1 Setting up the model . 167
7.2.2 The scattering problem. 170
7.3 Applications and Results. 172
7.3.1 Periodic array of graphene ribbons. 172
7.3.2 Theory versus experiment. 178
7.4 A THz Polarizer. 183
7.5 Scattering From a Periodic Grid in the Regime kw 1 . . 185
8. Plasmons in Graphene Nanostructures and in One-
dimensional Channels 193
8.1 Edge Plasmons in a Graphene Nanoribbon . 195
8.1.1 Prelude: Green's functions for a 2-layered medium 195
8.1.2 Plasmonic spectrum of a graphene nanoribbon . . 199
8.1.3 An extension: magneto-plasmons in a graphene
ribbon. 210
8.1.4 Scattering of THz radiation by a graphene micro-
ribbon . 211
8.2 Localized Surface Plasmons in a Graphene Ring . 218
xviii An Introduction to Graphene Plasmonics
8.2.1 Spectrum of graphene plasmons in a graphene ring 218
8.3 Plasmonic Excitations in a Graphene Nanodisk. 232
8.4 Scattering of Graphene Plasmons by a Conductivity Step 239
8.4.1 The mathematical problem. 241
8.4.2 Solution of the Riemann-Hilbert problem. 242
8.4.3 Further details. 244
8.4.4 Calculation of the reflection amplitude. 245
8.4.5 An alternative derivation of Eq. (8.137). 247
8.5 Localized Surface Plasmons in a Graphene Sheet with a
Gaussian Groove. 250
8.5.1 Few useful definitions. 251
8.5.2 Formulation of the problem. 253
8.5.3 Green's theorem, Green's functions, and the eigen-
value problem. 254
8.5.4 Spectrum of surface plasmon-polaritons in the
presence of a Gaussian groove. 259
9. Excitation of Surface Plasmon-Polaritons Using Dielec-
tric Gratings 267
9.1 Some Basic Definitions and Results. 268
9.2 Tangent and Normal Vectors, and Boundary Conditions . 270
9.3 A Trivial Example: Recovering Previous Results. 271
9.4 The Fields in D+ and £ _. 272
9.4.1 Reflectance and transmittance efficiencies. 274
9.4.2 Particular limits for the transmittance and the re-
flectance . 274
9.5 A Non-Trivial Example: A Grating with a Sine-Profile . . 275
10. Excitation of Plasmons by an Emitting Dipole 281
10.1 Statement of the Problem and a Bit of Electrostatics . . . 282
10.2 Calculation of the Non-Radiative Transition Rate:
Particle-Hole Excitations Pathway. 287
10.3 Calculation of the Total Transition Rate: Full Electromag-
netic Calculation. 289
10.4 Purcell Effect in Hyperbolic Materials. 292
11. Concluding Remarks 295
Appendix A Derivation of the Susceptibility of Graphene 301
Contents xix
A.l Undoped Susceptibility. 301
A. 1.1 The imaginary part of the undoped susceptibility . 302
A. 1.2 The real part of the undoped susceptibility . 303
A.2 Doped Part: Fermi Sea Contributions . 303
A.2.1 Intraband term. 303
A.2.2 Interband term. 304
A.2.3 Imaginary part of \d. 306
A.2.4 Imaginary part of xb. 306
A.2.5 Real Part of xh and Xd . 307
A.3 Summary for the Real and Imaginary Parts of
Graphene Susceptibility. 309
A.3.1 Real part of the susceptibility. 310
A.3.2 Imaginary part of the susceptibility. 311
A.4 Some Useful Integrals . 312
Appendix B Derivation of the Intra- and Inter-band Con-
ductivity of Graphene 313
Appendix C Inhomogeneous Drude Conductivity 319
C.l Longitudinal Conductivity. 320
C.2 Transverse Conductivity. 321
Appendix D Derivation of the Expression Relating the Lon-
gitudinal Conductivity with the Polarizability 323
Appendix E Derivation of the Polarization of Graphene in
the Relaxation-Time Approximation 327
E.l Hamiltonian and Particle and Current Densities. 327
E.2 Local Equilibrium Density Matrix. 328
E.3 A Useful Identity. 329
E.4 Equation of Motion for the Density Matrix. 330
E.5 Polarization in the Relaxation-Time Approximation . . . 331
Appendix F RPA for Double-Layer Graphene 333
F.l Equation of Motion Method. 333
F.2 Diagrammatic Approach. 337
Appendix G Effective Dielectric Constants for Coulomb-
xx An Introduction to Graphene Plasmonics
Coupled Double-Layer Graphene 339
Appendix H Magneto-Optical Conductivity of Graphene 343
Appendix I Supplementary Material for Chapter 7 347
1.1 Derivation of the Expressions for the Transmittance and
Reflectance. 347
1.2 Modes Contributing to Each Resonance. 349
Appendix J The Method of Toigo 351
Appendix K Boundary Condition in the Dipole Problem 355
Appendix L Fourier Transform of the Dipole Potential 359
Appendix M Non-Radiative Decaying Rate: Electrostatic Calculation361
M.l Doped Graphene. 361
M.2 A Detour: Neutral Graphene . 363
Appendix N Reflection Amplitude of an Electromagnetic
Wave due to a Graphene Interface 367
N.l The Simple Case of Free Standing Graphene . 367
N.2 Reflection and Transmission Amplitudes: Fresnel Coefficients369
N.2.1 TE (transverse electric) / «-components. 372
N.2.2 TM (transverse magnetic) / p-components . 373
Appendix O Green's Functions in the Rope Problem 375
0.1 The Homogeneous Rope. 375
O.l.l Response to a localized force. 375
0.2 The Inhomogeneous Rope. 377
0.2.1 Reflection and transmition coefficients. 377
0.2.2 Response to an external force in the inhomoge-
neous regime. 378
Appendix P Derivation of the Transition Rate of a Quantum
Emitter Near an Interface 383
P.l Polarization Vectors and Green's Functions. 384
Contents xxi
P.l.l Definition of s- and p-polarization vectors and
angular spectrum representation. 384
P. 1.2 The free space Green's function. 386
P.1.3 Green's functions for problems with flat interfaces I 388
P.2 Dipole Decaying Rate . 391
P.3 Explicit Form of the Tensor Product of the Polarization
Vectors . 392
P.4 The Free Green's Function in Real Space. 393
P.5 Green's Function for Problems With Flat Interfaces II . . 394
P.5.1 Free-space Green's function revisited. 394
P.5.2 Electric field from a dipole in terms of Green's func-
tions . 395
P.5.3 Green's functions: s-component. 396
P.5.4 Green's functions: p-component. 398
P.5.5 Derivation of the matrix structure of the Green's
functions. 399
Bibliography 403
Index 427 |
| any_adam_object | 1 |
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| publisher | World Scientific |
| record_format | marc |
| spelling | Gonçalves, P. A. D. Verfasser (DE-588)1127058371 aut An introduction to graphene plasmonics P.A.D Gonçalves, University of Minho, Portugal, N.M.R Peres, University of Minho, Portugal New Jersey World Scientific [2016] © 2016 xxix, 431 pages illustrations txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index "The book aims at the graduate student entering the field of graphene plasmonics. It is essentially self-contained and brings together a number of different topics about the field that are scattered in a vast literature. The text is composed of eleven chapters and of a set of detailed appendices. It can be read in two different ways: Reading only the chapters to get acquainted with the field of plasmonics in graphene or reading the chapters and studying the appendices to get a working knowledge of the topic. Thus, the book provides a good training for the students on the different aspects of the field"... Plasmons (Physics) Graphene Optical properties Nanophotonics Graphen (DE-588)7591667-8 gnd rswk-swf Plasmon (DE-588)4174845-1 gnd rswk-swf Graphen (DE-588)7591667-8 s Plasmon (DE-588)4174845-1 s DE-604 Peres, N. M. R. 1967- Verfasser (DE-588)1127058630 aut LoC Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029134838&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029134838&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gonçalves, P. A. D. Peres, N. M. R. 1967- An introduction to graphene plasmonics Plasmons (Physics) Graphene Optical properties Nanophotonics Graphen (DE-588)7591667-8 gnd Plasmon (DE-588)4174845-1 gnd |
| subject_GND | (DE-588)7591667-8 (DE-588)4174845-1 |
| title | An introduction to graphene plasmonics |
| title_auth | An introduction to graphene plasmonics |
| title_exact_search | An introduction to graphene plasmonics |
| title_full | An introduction to graphene plasmonics P.A.D Gonçalves, University of Minho, Portugal, N.M.R Peres, University of Minho, Portugal |
| title_fullStr | An introduction to graphene plasmonics P.A.D Gonçalves, University of Minho, Portugal, N.M.R Peres, University of Minho, Portugal |
| title_full_unstemmed | An introduction to graphene plasmonics P.A.D Gonçalves, University of Minho, Portugal, N.M.R Peres, University of Minho, Portugal |
| title_short | An introduction to graphene plasmonics |
| title_sort | an introduction to graphene plasmonics |
| topic | Plasmons (Physics) Graphene Optical properties Nanophotonics Graphen (DE-588)7591667-8 gnd Plasmon (DE-588)4174845-1 gnd |
| topic_facet | Plasmons (Physics) Graphene Optical properties Nanophotonics Graphen Plasmon |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029134838&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029134838&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT goncalvespad anintroductiontographeneplasmonics AT peresnmr anintroductiontographeneplasmonics |
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