Canonical Problems in the Theory of Plasmonics: From 3D to 2D Systems 303043835X, 9783030438357
This book provides a systemic and self-contained guide to the theoretical description of the fundamental properties of p
247 19 9MB
English Pages 372 [359] Year 2020
Table of contents :
Preface
Contents
List of Acronyms
Part I Three-Dimensional Electron Gases
1 Basic Concepts and Formalism
1.1 Introduction
1.2 Hydrodynamic Model of Three-Dimensional Electron Gases
1.2.1 Equation of Drift Motion
1.2.2 Equation of Continuity
1.2.3 Gradient Correction: Bohm Potential
1.3 Maxwell's Equations
1.3.1 Maxwell's Equations in Terms of Current and Charge Densities
1.3.2 Maxwell's Equations in Terms of Induced Polarization
1.4 Optical Properties of Collisionless, Isotropic, and Homogeneous Three-Dimensional Electron Gases
1.4.1 Conductivity
1.4.2 Susceptibility and Dielectric Function
1.4.3 Dispersion Relation
1.4.4 Phase and Group Velocities
1.4.5 Poynting's Theorem: Pure Electromagnetic Wave
1.4.6 Poynting's Theorem: Pure Electrostatic Wave
1.5 Bounded Homogeneous Electron Gases
1.5.1 Boundary Conditions
1.5.2 Electrostatic Approximation
References
2 Problems in Electrostatic Approximation
2.1 Plasmonic Properties of Semi-Infinite Electron Gases
2.1.1 Surface Plasmon Frequency
2.1.2 Power Flow
2.1.3 Energy Distribution
2.1.4 Quantization of Surface Plasmon Fields
2.2 Surface Magneto Plasmon Frequency of Semi-Infinite Magnetized Electron Gases
2.2.1 Faraday Configuration
2.2.2 Voigt Configuration
2.2.3 Perpendicular Configuration
2.3 Plasmonic Properties of Planar Electron Gas Slabs
2.3.1 Dispersion Relation and Electrostatic Potential Distribution
2.3.2 Induced Surface Charge
2.3.3 Group Velocity
2.3.4 Power Flow
2.3.5 Energy Distribution
2.3.6 Energy Velocity
2.4 Plasmonic Properties of Circular Electron Gas Cylinders
2.4.1 Surface Plasmon Modes
2.4.2 Surface Plasmon Resonance
2.4.3 Effective Permittivity of a Composite of Thin Circular Electron Gas Cylinders
2.5 Plasmonic Properties of Circular Electron Gas Tubes
2.5.1 Surface Plasmon Modes
2.5.2 Surface Plasmon Resonances
2.6 Surface Plasmon Modes of Cylinder-Cylinder and Cylinder-Plane Electron Gas Systems
2.7 Plasmonic Properties of Electron Gas Spheres
2.7.1 Surface Plasmon Modes
2.7.2 Bulk Plasmon Modes
2.7.3 Surface Plasmon Resonance
2.7.4 Effective Permittivity of a Composite of Small Electron Gas Spheres
2.7.5 An Alternative Derivation of Effective Permittivity of a Composite of Small Electron Gas Spheres
2.7.6 Multipolar Response
2.8 Plasmonic Properties of Spherical Electron Gas Shells
2.8.1 Surface Plasmon Modes
2.8.2 Surface Plasmon Resonances
2.9 Surface Plasmon Modes of Sphere-Sphere and Sphere-Plane Electron Gas Systems
References
3 Problems in Electromagnetic Theory
3.1 Total Reflection of a Plane Wave on a Semi-Infinite Electron Gas
3.1.1 p-Polarized Wave
3.1.2 s-Polarized Wave
3.2 Plasmonic Properties of Semi-Infinite Electron Gases
3.2.1 Dispersion Relation
3.2.2 Electric Field Lines
3.2.3 Penetration Depth
3.2.4 Wave Polarization
3.2.5 Power Flow
3.2.6 Energy Distribution
3.2.7 Energy Velocity
3.2.8 Surface Plasmon and Surface Electromagnetic Field Strength Functions
3.2.9 Normalized Propagation Constant
3.2.10 Wave Impedance
3.2.11 Quantization of Surface Plasmon Polariton Fields
3.3 Excitation of Surface Plasmon Polaritons on Semi-Infinite Electron Gases
3.4 Surface Magneto Plasmon Polaritons of Semi-Infinite Magnetized Electron Gases: Voigt Configuration
3.5 Surface Plasmon Polaritons of Planar Electron Gas Slabs
3.6 Electromagnetic Waves Propagation in One-Dimensional Superlattices of Alternating Electron Gas Layers
3.7 Plasmonic Properties of Circular Electron Gas Cylinders
3.7.1 Surface Plasmon Polariton Modes
3.7.2 Extinction Property
3.7.2.1 TEz Polarization
3.7.2.2 TMz Polarization
3.8 Surface Plasmon Polaritons of Curved Semi-Infinite Electron Gases
3.8.1 p-Polarized Wave
3.8.2 s-Polarized Wave
3.9 Plasmonic Properties of Electron Gas Spheres
3.9.1 Surface Plasmon Polariton Modes
3.9.1.1 TEr Modes
3.9.1.2 TMr Modes
3.9.2 Extinction Property
References
4 Problems in Electrostatic Approximation: Spatial NonlocalEffects
4.1 Plasmonic Properties of Semi-Infinite Electron Gases: Standard Hydrodynamic Model
4.1.1 Surface Plasmon Frequency
4.1.2 Power Flow
4.1.3 Energy Distribution
4.1.4 Energy Velocity
4.2 Plasmonic Properties of Semi-Infinite Electron Gases: Quantum Hydrodynamic Model
4.2.1 Surface Plasmon Frequency
4.2.2 Surface Magneto Plasmon Frequency: Voigt Configuration
4.3 Plasmonic Properties of Circular Electron Gas Cylinders: Quantum Hydrodynamic Model
4.3.1 Surface Plasmon Modes
4.3.2 Surface Plasmon Resonance
4.4 Plasmonic Properties of Electron Gas Spheres: Quantum Hydrodynamic Model
4.4.1 Surface Plasmon Modes
4.4.2 Surface Plasmon Resonance
References
5 Problems in Electromagnetic Theory: Spatial Nonlocal Effects
5.1 Plasmonic Properties of Semi-Infinite Electron Gases: Standard Hydrodynamic Model
5.1.1 Total Reflection of a Plane Wave
5.1.2 An Alternative Derivation of Fresnel Reflection Coefficient
5.1.3 Dispersion Relation
5.1.4 Power Flow
5.1.5 Energy Distribution
5.2 Surface Plasmon Polaritons of Semi-Infinite Electron Gases: An Alternative Derivation of Dispersion Relation
5.2.1 Dispersion Relation of Surface Magneto Plasmon Polariton: Voigt Configuration
5.3 Plasmonic Properties of Multilayer Planar Structures: Standard Hydrodynamic Model
5.3.1 Insulator-Electron Gas-Insulator Structures
5.3.2 Electron Gas-Insulator-Electron Gas Structures
5.4 Plasmonic Properties of Circular Electron Gas Cylinders: Quantum Hydrodynamic Model
5.4.1 Dispersion Relation
5.4.2 Extinction Property
5.5 Plasmonic Properties of Electron Gas Spheres: Quantum Hydrodynamic Model
References
Part II Two-Dimensional Electron Gases
6 Electrostatic Problems Involving Two-Dimensional Electron Gases in Planar Geometry
6.1 Plasmonic Properties of Monolayer Two-Dimensional Electron Gases
6.1.1 Dispersion Relation
6.1.2 Power Flow
6.1.3 Energy Distribution
6.1.4 Energy Velocity
6.1.5 Dispersion Relation of Surface Magneto Plasmon: Perpendicular Configuration
6.2 Plasmonic Properties of Monolayer Two-Dimensional Electron Gases: Effect of Collision
6.2.1 Damping in Time
6.2.1.1 Power Flow
6.2.1.2 Energy Distribution
6.2.1.3 Energy Velocity
6.2.2 Damping in Space
6.2.2.1 Power Flow
6.2.2.2 Energy Distribution
6.2.2.3 Energy Velocity
6.2.2.4 Attenuation Properties
6.3 Quantization of Surface Plasmon Fields of Monolayer Two-Dimensional Electron Gases
6.3.1 Interaction with External Probes
6.4 Plasmonic Properties of Bilayer Electron Gas Structures
6.4.1 Frequencies of Surface Plasmon Modes and Electrostatic Potential Distribution
6.4.2 Induced Surface Charge
6.4.3 Power Flow
6.4.4 Energy Distribution
6.5 Plasmonic Properties of a Superlattice of Alternating Two-Dimensional Electron Gas Layers
References
7 Electromagnetic Problems Involving Two-Dimensional Electron Gases in Planar Geometry
7.1 Plasmonic Properties of Monolayer Two-Dimensional Electron Gases
7.1.1 Fresnel Transmission and Reflection Coefficients
7.1.1.1 Fresnel Coefficients and Surface Plasmon Polaritons
7.1.1.2 Regions of Ordinary and Total Reflection
7.1.1.3 Evanescent Waves and Phase Shift in Total Reflection
7.1.2 Power Flow in Total Reflection: Lateral Shift
7.1.3 Dispersion Relation
7.1.4 Power Flow
7.1.5 Energy Distribution
7.1.6 Energy Velocity
7.1.7 Damping Property
7.1.8 Surface Plasmon and Surface Electromagnetic Field Strength Functions
7.1.9 Penetration Depth
7.2 Excitation of Surface Plasmon Polaritons on Monolayer Two-Dimensional Electron Gases
7.3 Plasmonic Properties of Monolayer Two-Dimensional Electron Gases: Static Magnetic Field Effect
7.3.1 Dispersion Relation
7.3.2 Power Flow
7.3.3 Energy Distribution
7.3.4 Energy Velocity
7.3.5 Wave Polarization
7.4 Dispersion Relation of Multilayer Two-Dimensional Electron Gases
7.4.1 Special Cases
7.4.1.1 Monolayer Electron Gas
7.4.1.2 Bilayer Electron Gas
7.4.1.3 Triple-Layer Electron Gas
7.4.1.4 Quadruple-Layer Electron Gas
7.5 Surface Plasmon Polaritons of a Superlattice of Alternating Two-Dimensional Electron Gas Layers
References
8 Electrostatic Problems Involving Two-Dimensional Electron Gases in Cylindrical Geometry
8.1 Plasmonic Properties of Cylindrical Two-Dimensional Electron Gas Layers
8.1.1 Dispersion Relation
8.1.1.1 Interband Transition Effect
8.1.1.2 Gradient Correction Effect
8.1.2 Power Flow
8.1.3 Energy Distribution
8.1.4 Surface Plasmon Resonance
8.1.5 Effective Permittivity of a Composite of Cylindrical Two-Dimensional Electron Gas Layers
8.2 Quantization of Surface Plasmon Fields of Cylindrical Two-Dimensional Electron Gas Layers
8.3 Surface Plasmon Modes of Two Coaxial Cylindrical Two-Dimensional Electron Gas Layers
8.3.1 Multilayer Systems
8.4 Surface Plasmon Modes of Two Parallel Cylindrical Two-Dimensional Electron Gas Layers
8.5 Surface Plasmon Modes of Cylindrical Two-Dimensional Electron Gas Layers in Dielectric Media
References
9 Electromagnetic Problems Involving Two-Dimensional Electron Gases in Cylindrical Geometry
9.1 Plasmonic Properties of Cylindrical Two-Dimensional Electron Gas Layers
9.1.1 Dispersion Relation
9.1.2 Excitation of Modes
9.1.3 Power Flow and Energy Distribution
9.1.4 Extinction Property
9.1.4.1 TEz Polarization
9.1.4.2 TMz Polarization
9.1.5 Effective Permittivity of a Composite of Cylindrical Two-Dimensional Electron Gas Layers: Beyond the Electrostatic Approximation
9.2 Surface Plasmon Polariton Modes of Coaxial Cylindrical Two-Dimensional Electron Gas Layers
References
10 Boundary-Value Problems Involving Two-Dimensional Electron Gases in Spherical Geometry
10.1 Plasmonic Properties of Spherical Two-Dimensional Electron Gas Shells: Electrostatic Approximation
10.1.1 Dispersion Relation
10.1.2 Surface Plasmon Resonance
10.1.3 Multipolar Response
10.2 Plasmonic Properties of Spherical Two-Dimensional Electron Gas Shells: Beyond the Electrostatic Approximation
10.2.1 Dispersion Relation
10.2.2 Extinction Property
10.2.3 Effective Permittivity of a Composite of Spherical Two-Dimensional Electron Gas Layers
10.3 Surface Plasmon Modes of Concentric Spherical Two-Dimensional Electron Gas Shells
10.3.1 Multishell Systems
10.4 Surface Plasmon Modes of a Pair of Spherical Two-Dimensional Electron Gas Shells
References
Correction to: Canonical Problemsin the Theory of Plasmonics
Index
Preface
Contents
List of Acronyms
Part I Three-Dimensional Electron Gases
1 Basic Concepts and Formalism
1.1 Introduction
1.2 Hydrodynamic Model of Three-Dimensional Electron Gases
1.2.1 Equation of Drift Motion
1.2.2 Equation of Continuity
1.2.3 Gradient Correction: Bohm Potential
1.3 Maxwell's Equations
1.3.1 Maxwell's Equations in Terms of Current and Charge Densities
1.3.2 Maxwell's Equations in Terms of Induced Polarization
1.4 Optical Properties of Collisionless, Isotropic, and Homogeneous Three-Dimensional Electron Gases
1.4.1 Conductivity
1.4.2 Susceptibility and Dielectric Function
1.4.3 Dispersion Relation
1.4.4 Phase and Group Velocities
1.4.5 Poynting's Theorem: Pure Electromagnetic Wave
1.4.6 Poynting's Theorem: Pure Electrostatic Wave
1.5 Bounded Homogeneous Electron Gases
1.5.1 Boundary Conditions
1.5.2 Electrostatic Approximation
References
2 Problems in Electrostatic Approximation
2.1 Plasmonic Properties of Semi-Infinite Electron Gases
2.1.1 Surface Plasmon Frequency
2.1.2 Power Flow
2.1.3 Energy Distribution
2.1.4 Quantization of Surface Plasmon Fields
2.2 Surface Magneto Plasmon Frequency of Semi-Infinite Magnetized Electron Gases
2.2.1 Faraday Configuration
2.2.2 Voigt Configuration
2.2.3 Perpendicular Configuration
2.3 Plasmonic Properties of Planar Electron Gas Slabs
2.3.1 Dispersion Relation and Electrostatic Potential Distribution
2.3.2 Induced Surface Charge
2.3.3 Group Velocity
2.3.4 Power Flow
2.3.5 Energy Distribution
2.3.6 Energy Velocity
2.4 Plasmonic Properties of Circular Electron Gas Cylinders
2.4.1 Surface Plasmon Modes
2.4.2 Surface Plasmon Resonance
2.4.3 Effective Permittivity of a Composite of Thin Circular Electron Gas Cylinders
2.5 Plasmonic Properties of Circular Electron Gas Tubes
2.5.1 Surface Plasmon Modes
2.5.2 Surface Plasmon Resonances
2.6 Surface Plasmon Modes of Cylinder-Cylinder and Cylinder-Plane Electron Gas Systems
2.7 Plasmonic Properties of Electron Gas Spheres
2.7.1 Surface Plasmon Modes
2.7.2 Bulk Plasmon Modes
2.7.3 Surface Plasmon Resonance
2.7.4 Effective Permittivity of a Composite of Small Electron Gas Spheres
2.7.5 An Alternative Derivation of Effective Permittivity of a Composite of Small Electron Gas Spheres
2.7.6 Multipolar Response
2.8 Plasmonic Properties of Spherical Electron Gas Shells
2.8.1 Surface Plasmon Modes
2.8.2 Surface Plasmon Resonances
2.9 Surface Plasmon Modes of Sphere-Sphere and Sphere-Plane Electron Gas Systems
References
3 Problems in Electromagnetic Theory
3.1 Total Reflection of a Plane Wave on a Semi-Infinite Electron Gas
3.1.1 p-Polarized Wave
3.1.2 s-Polarized Wave
3.2 Plasmonic Properties of Semi-Infinite Electron Gases
3.2.1 Dispersion Relation
3.2.2 Electric Field Lines
3.2.3 Penetration Depth
3.2.4 Wave Polarization
3.2.5 Power Flow
3.2.6 Energy Distribution
3.2.7 Energy Velocity
3.2.8 Surface Plasmon and Surface Electromagnetic Field Strength Functions
3.2.9 Normalized Propagation Constant
3.2.10 Wave Impedance
3.2.11 Quantization of Surface Plasmon Polariton Fields
3.3 Excitation of Surface Plasmon Polaritons on Semi-Infinite Electron Gases
3.4 Surface Magneto Plasmon Polaritons of Semi-Infinite Magnetized Electron Gases: Voigt Configuration
3.5 Surface Plasmon Polaritons of Planar Electron Gas Slabs
3.6 Electromagnetic Waves Propagation in One-Dimensional Superlattices of Alternating Electron Gas Layers
3.7 Plasmonic Properties of Circular Electron Gas Cylinders
3.7.1 Surface Plasmon Polariton Modes
3.7.2 Extinction Property
3.7.2.1 TEz Polarization
3.7.2.2 TMz Polarization
3.8 Surface Plasmon Polaritons of Curved Semi-Infinite Electron Gases
3.8.1 p-Polarized Wave
3.8.2 s-Polarized Wave
3.9 Plasmonic Properties of Electron Gas Spheres
3.9.1 Surface Plasmon Polariton Modes
3.9.1.1 TEr Modes
3.9.1.2 TMr Modes
3.9.2 Extinction Property
References
4 Problems in Electrostatic Approximation: Spatial NonlocalEffects
4.1 Plasmonic Properties of Semi-Infinite Electron Gases: Standard Hydrodynamic Model
4.1.1 Surface Plasmon Frequency
4.1.2 Power Flow
4.1.3 Energy Distribution
4.1.4 Energy Velocity
4.2 Plasmonic Properties of Semi-Infinite Electron Gases: Quantum Hydrodynamic Model
4.2.1 Surface Plasmon Frequency
4.2.2 Surface Magneto Plasmon Frequency: Voigt Configuration
4.3 Plasmonic Properties of Circular Electron Gas Cylinders: Quantum Hydrodynamic Model
4.3.1 Surface Plasmon Modes
4.3.2 Surface Plasmon Resonance
4.4 Plasmonic Properties of Electron Gas Spheres: Quantum Hydrodynamic Model
4.4.1 Surface Plasmon Modes
4.4.2 Surface Plasmon Resonance
References
5 Problems in Electromagnetic Theory: Spatial Nonlocal Effects
5.1 Plasmonic Properties of Semi-Infinite Electron Gases: Standard Hydrodynamic Model
5.1.1 Total Reflection of a Plane Wave
5.1.2 An Alternative Derivation of Fresnel Reflection Coefficient
5.1.3 Dispersion Relation
5.1.4 Power Flow
5.1.5 Energy Distribution
5.2 Surface Plasmon Polaritons of Semi-Infinite Electron Gases: An Alternative Derivation of Dispersion Relation
5.2.1 Dispersion Relation of Surface Magneto Plasmon Polariton: Voigt Configuration
5.3 Plasmonic Properties of Multilayer Planar Structures: Standard Hydrodynamic Model
5.3.1 Insulator-Electron Gas-Insulator Structures
5.3.2 Electron Gas-Insulator-Electron Gas Structures
5.4 Plasmonic Properties of Circular Electron Gas Cylinders: Quantum Hydrodynamic Model
5.4.1 Dispersion Relation
5.4.2 Extinction Property
5.5 Plasmonic Properties of Electron Gas Spheres: Quantum Hydrodynamic Model
References
Part II Two-Dimensional Electron Gases
6 Electrostatic Problems Involving Two-Dimensional Electron Gases in Planar Geometry
6.1 Plasmonic Properties of Monolayer Two-Dimensional Electron Gases
6.1.1 Dispersion Relation
6.1.2 Power Flow
6.1.3 Energy Distribution
6.1.4 Energy Velocity
6.1.5 Dispersion Relation of Surface Magneto Plasmon: Perpendicular Configuration
6.2 Plasmonic Properties of Monolayer Two-Dimensional Electron Gases: Effect of Collision
6.2.1 Damping in Time
6.2.1.1 Power Flow
6.2.1.2 Energy Distribution
6.2.1.3 Energy Velocity
6.2.2 Damping in Space
6.2.2.1 Power Flow
6.2.2.2 Energy Distribution
6.2.2.3 Energy Velocity
6.2.2.4 Attenuation Properties
6.3 Quantization of Surface Plasmon Fields of Monolayer Two-Dimensional Electron Gases
6.3.1 Interaction with External Probes
6.4 Plasmonic Properties of Bilayer Electron Gas Structures
6.4.1 Frequencies of Surface Plasmon Modes and Electrostatic Potential Distribution
6.4.2 Induced Surface Charge
6.4.3 Power Flow
6.4.4 Energy Distribution
6.5 Plasmonic Properties of a Superlattice of Alternating Two-Dimensional Electron Gas Layers
References
7 Electromagnetic Problems Involving Two-Dimensional Electron Gases in Planar Geometry
7.1 Plasmonic Properties of Monolayer Two-Dimensional Electron Gases
7.1.1 Fresnel Transmission and Reflection Coefficients
7.1.1.1 Fresnel Coefficients and Surface Plasmon Polaritons
7.1.1.2 Regions of Ordinary and Total Reflection
7.1.1.3 Evanescent Waves and Phase Shift in Total Reflection
7.1.2 Power Flow in Total Reflection: Lateral Shift
7.1.3 Dispersion Relation
7.1.4 Power Flow
7.1.5 Energy Distribution
7.1.6 Energy Velocity
7.1.7 Damping Property
7.1.8 Surface Plasmon and Surface Electromagnetic Field Strength Functions
7.1.9 Penetration Depth
7.2 Excitation of Surface Plasmon Polaritons on Monolayer Two-Dimensional Electron Gases
7.3 Plasmonic Properties of Monolayer Two-Dimensional Electron Gases: Static Magnetic Field Effect
7.3.1 Dispersion Relation
7.3.2 Power Flow
7.3.3 Energy Distribution
7.3.4 Energy Velocity
7.3.5 Wave Polarization
7.4 Dispersion Relation of Multilayer Two-Dimensional Electron Gases
7.4.1 Special Cases
7.4.1.1 Monolayer Electron Gas
7.4.1.2 Bilayer Electron Gas
7.4.1.3 Triple-Layer Electron Gas
7.4.1.4 Quadruple-Layer Electron Gas
7.5 Surface Plasmon Polaritons of a Superlattice of Alternating Two-Dimensional Electron Gas Layers
References
8 Electrostatic Problems Involving Two-Dimensional Electron Gases in Cylindrical Geometry
8.1 Plasmonic Properties of Cylindrical Two-Dimensional Electron Gas Layers
8.1.1 Dispersion Relation
8.1.1.1 Interband Transition Effect
8.1.1.2 Gradient Correction Effect
8.1.2 Power Flow
8.1.3 Energy Distribution
8.1.4 Surface Plasmon Resonance
8.1.5 Effective Permittivity of a Composite of Cylindrical Two-Dimensional Electron Gas Layers
8.2 Quantization of Surface Plasmon Fields of Cylindrical Two-Dimensional Electron Gas Layers
8.3 Surface Plasmon Modes of Two Coaxial Cylindrical Two-Dimensional Electron Gas Layers
8.3.1 Multilayer Systems
8.4 Surface Plasmon Modes of Two Parallel Cylindrical Two-Dimensional Electron Gas Layers
8.5 Surface Plasmon Modes of Cylindrical Two-Dimensional Electron Gas Layers in Dielectric Media
References
9 Electromagnetic Problems Involving Two-Dimensional Electron Gases in Cylindrical Geometry
9.1 Plasmonic Properties of Cylindrical Two-Dimensional Electron Gas Layers
9.1.1 Dispersion Relation
9.1.2 Excitation of Modes
9.1.3 Power Flow and Energy Distribution
9.1.4 Extinction Property
9.1.4.1 TEz Polarization
9.1.4.2 TMz Polarization
9.1.5 Effective Permittivity of a Composite of Cylindrical Two-Dimensional Electron Gas Layers: Beyond the Electrostatic Approximation
9.2 Surface Plasmon Polariton Modes of Coaxial Cylindrical Two-Dimensional Electron Gas Layers
References
10 Boundary-Value Problems Involving Two-Dimensional Electron Gases in Spherical Geometry
10.1 Plasmonic Properties of Spherical Two-Dimensional Electron Gas Shells: Electrostatic Approximation
10.1.1 Dispersion Relation
10.1.2 Surface Plasmon Resonance
10.1.3 Multipolar Response
10.2 Plasmonic Properties of Spherical Two-Dimensional Electron Gas Shells: Beyond the Electrostatic Approximation
10.2.1 Dispersion Relation
10.2.2 Extinction Property
10.2.3 Effective Permittivity of a Composite of Spherical Two-Dimensional Electron Gas Layers
10.3 Surface Plasmon Modes of Concentric Spherical Two-Dimensional Electron Gas Shells
10.3.1 Multishell Systems
10.4 Surface Plasmon Modes of a Pair of Spherical Two-Dimensional Electron Gas Shells
References
Correction to: Canonical Problemsin the Theory of Plasmonics
Index
- Author / Uploaded
- Afshin Moradi
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