Electromagnetics at the Nano and Quantum Scale: Basic Principles and Applications(IOP Expanding Physics)

Light-matter interaction at the nano- and quantum scale defines a critical juncture at which the most important advances in subdiffraction-limit imaging and subwavelength transimission and detection are presently occurring. The manipulation of matter by light forces and potentials at these scales provide the tools necessary for plasmonic and photonic device development in such diverse fields as optical communication, molecular biology and environmental science. From a fundamental physics standpoint, the interaction of electromagnetic fields with quantum gases has opened a portal for testing theories of quantum-condensed matter with an unprecedented accuracy and precision. This book provides researchers with diverse backgrounds in physics, chemistry, material science, engineering and biology the basic concepts and analytical tools needed from classical electrodynamics to carry out state-of-the-art basic research and device development in this multidisciplinary field, and will empower the reader to design and develop devices firmly based on fundamental principles of electromagnetics applied to real materials. It will be equally useful to graduate students who have taken a conventional university-level course in classical electrodynamics and want to undertake basic research in plasmonics and nano-optics.

Table of Contents:
1 Elements of Classical Electrodynamics 1.1 Introduction 1.2 Relations among Classical Field Quantities 1.3 Classical Fields in Matter 1.4 Maxwell's Equations 1.5 Static Fields, Potentials, and Energy 1.6 Three Illustrative Applications 1.7 Dynamic Fields and Potentials 1.8 Dipole Radiation 1.9 Light Propagation in Dielectric and Conducting Media 1.10 Plane Electromagnetic Waves 1.11 Exercises 1.12 Further Reading 2 Energy Flow in Matter with Polarization and Magnetization 2.1 Poynting's Theorem in Polarizable Material 2.2 Harmonically Driven Polarization Field 2.3 Drude-Lorentz Dispersion 3 Momentum in Fields and in Matter 3.1 Introduction 3.2 Electric Field inside a Material 3.3 Polarization and Polarizability 3.4 The Problem of Hidden Momentum in Magnetized Matter 4 Field Forces on Material Bodies 4.1 The Lorentz Force 4.2 Other Force Expressions 4.3 The Energy-Stress Tensor 5 The Classical Charged Oscillator and the Dipole Antenna 5.1 The Proto-antenna 5.2 Real Antennas 6 Surface Waves 6.1 Introduction 6.2 History of Electromagnetic Surface Waves 6.3 Plasmon Surface Waves at Optical Frequencies 6.4 Plasmon Surface Wave Dispersion 6.5 Energy Flux and Density at the Boundary 6.6 Plasmon Surface Waves and Waveguides 6.7 Surface Waves at a Dielectric Interface 6.8 Exercises 6.9 Further Reading 7 Transmission Lines, Waveguides, and Equivalent Circuits 7.1 Introduction 7.2 Elements of Conventional Circuit Theory 7.3 Transmission Lines 7.4 Special Termination Cases 7.5 Waveguides 7.6 Rectangular Waveguides 7.7 Cylindrical Waveguides 7.8 Networks of Transmission Lines and Waveguides 7.9 Nanostructures and Equivalent Circuits 7.10 Exercises 7.11 Further Reading 8 Radiation in Classical and Quantal Atoms 8.1 Introduction 8.2 Dipole Emission of an Atomic Electron 8.3 Radiative Damping and Electron Scattering 8.4 The Schr odinger equation for the hydrogen atom 8.5 State Energy and Angular Momentum 8.6 Real Orbitals 8.7 Interaction of Light with the Hydrogen Atom 8.8 The Fourth Quantum Number: Intrinsic Spin 8.9 Other simple quantum dipolar systems 8.10 Exercises 8.11 Further Reading 9 Optical Cooling of Atoms 9.1 Introduction 9.2 Optical Cooling in a Two-Level Atom 9.3 Optical Cooling in Real Quasi-One-Electron Atoms 9.4 The Magneto-Optical Trap 9.5 The Dipole-Gradient Trap 9.6 Cooling Below the Photon-Recoil Limit 10 Light Interaction with Cold Quantum Gases 10.1 Introduction 10.2 The Bose-Einstein Condensate in a Noninteracting Gas 10.3 The Process of Evaoprative Cooling 10.4 Bose-Einstein Condensates of Real Gases 10.5 Fermi Superuids 10.6 The Feshbach Resonance 10.7 Atom-Molecule Interconversion with Applied Magnetic Fields 10.8 Quantum Gases as Quantum Simulators Appendix A Classical Blackbody Radiation A.1 Field Modes in a Cavity A.2 Planck mode distribution A.3 The Einstein A and B coeffcients Appendix B Systems of Units in Electromagnetism A.1 General Discussion of Units and Dimensions A.2 Coulomb's Law A.3 Ampere's Law Appendix C Review of Vector Calculus B.1 Vectors B.2 Axioms of vector addition and scaler multiplication B.3 Vector Multiplication B.4 Vector Fields B.5 Integral Theorems for Vector Fields Appendix D Gradient, divergence and curl in cylindrical and polar coordinates C.1 The gradient in curvilinear coordinates C.2 The divergence in curvilinear coordinates C.3 The curl in curvilinear coordinates C.4 Expressions for grad, div, curl in cylindrical and polar coordinates Appendix E Properties of Phasors D.1 Introduction D.2 Application of Phasors to Circuit Analysis Appendix F Properties of the Laguerre Functions E.1 Generating function and recursion relations E.2 Orthogonality and Normalization E.3 Associated Laguerre Polynomials Appendix G Properties of the Legendre functions F.1 Generating Function F.2 Recurrence Relations F.3 Parity F.4 Orthogonality and Normalization Appendix H Properties of the Hermite polynomials G.1 Generating Function and Recurrence R

About the Author :
John Weiner was formerly Professor at the Universite Paul Sabatier in Toulouse, France, and a visiting researcher at the Universidade de Sao Paulo, Brazil. His research interests include atomic, molecular, and optical physics, laser-assisted inelastic collisions, atom cooling and trapping, studies of ultracold collision dynamics, manipulation of atoms and molecules by light forces issuing from nanostructures, plasmonics, surface waves, and light transmission through subwavelength apertures. He is the author of three books: Light-Matter Interaction: Physics and Engineering at the Nanoscale, Oxford University Press, 2013; Light-matter Interaction: Fundamentals and Applications, Wiley, 2003; Cold and Ultracold Collisions in Quantum Microscopic and Mesoscopic Systems, Cambridge University Press, 2007.