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Light matter interaction in nanostructured materials / vorgelegt von Christian Kremers. 2011
Inhalt
Abstract
Acknowledgments
Contents
Introduction
Theoretical Foundations
Macroscopic Electromagnetism
Maxwell's Equations in Macroscopic Media
Time-Harmonic Fields
Spectral Representation of Time-Dependent Fields
Constitutive Relations
The Dipole Oscillator Model
Conservation of Energy: Poynting's Theorem
Vector Helmholtz Equation
Boundary Conditions
The Electromagnetic Field produced by Currents: Formal Solution
Vector and Scalar Potentials, Lorenz Gauge
Solution of the Scalar Helmholtz Equation
The Scalar Green's Function of Helmholtz's Equation
The General Solution and Radiation Boundary Condition
Dyadic Green's function
Scattering of Light
Volume Equivalence Theorem and The Volume Integral Equation
Scattering on an Infinitely Long Cylinder
The Total Scattering Cross Section
Principles of Photonic Crystals
The Wave Equation
Translational Symmetry
Periodic Functions and Reciprocal Lattices
Translation Symmetry and Bloch's Theorem
Bloch Eigenwaves
Existence of Photonic Band Structure
Brillouin Zone
Time-Reversal Symmetry
Retarded Green's Function, Solutions of the Wave Equation
Two-dimensional Photonic Crystals
Optical Antennas
Light Scattering on Nanowire AntennasThis chapter is based on: C. Kremers, D. N. Chigrin, Light Scattering on Nanowire Antennas: A Semi-Analytical Approach, to appear in Photonics Nanostruct. Fundam. and Appl., March 2011
Introduction
Integral Equations of Pocklington's Type
Discrete Form of the Volume Current Integro-Differential Equation
Discrete Form of the Surface Impedance Integro-Differential Equation
Hallen's Approach
Regularization
Numerical results and discussion
Summary
Cherenkov Radiation in Periodic Dielectric Media
Introduction
Emission SpectrumThis chapter is based on: C. Kremers, D. N. Chigrin and J. Kroha, ''Theory of Cherenkov radiation in periodic dielectric media: Emission spectrum'', Phys. Rev. A, 79(1)
Radiated Field
Emission Spectrum
Numerical Results
Summary
Spatial DistributionThis chapter is based on: C. Kremers and D.N. Chigrin, ``Spatial distribution of Cherenkov radiation in periodic dielectric media'', J. Opt. A., 11(11)
Cherenkov Radiation in the Far-Zone
2D Photonic Crystal
3D Photonic Crystals
Numerical Example and Discussion
Summary
Conclusion
Appendix
Lee's Renormalization: Proof of Equation (2.37)
Scattering Cross Section, VC-IE and SI-IE
VC-IE
SI-IE
Derivation of Equation (7.6)
Derivation of Equation (7.10)
The Curvature of the Cherenkov Contour
List of Publications