Burlak G. The Classical and Quantum Dynamics of the Multispherical Nanostructures

Imperial College Press, 2004. — 400 p.In this book, the issues regarding the theory of optics and quantum optics of spherical multilayered systems are studied. In such systems the spatial scale of layers becomes comparable with the wavelength of radiation, which complicates the analysis of important quantities such as reflectivity and transmission. Often, a large amount of time is spent on performing numerical calculations and simulation to elucidate the behavior of such electromagnetic properties. The author has written down the calculation details of important properties of multilayered microspheres in a more comprehensive manner, so that undergraduates and practitioners can follow them freely. From a skill-oriented point of view the book covers the following: electrodynamics of multilayered environments in the spherical geometry; methods of calculating both reflection and transmission coefficients from an alternating stack; calculations of eigenfrequencies and quality factors of electromagnetic oscillations; radial distribution of the electromagnetic field in a spherical cavity; computer methods of calculations with C++ as basic languages and construction of the graphic user interface (GUI); the object-oriented approach as a basis of the modern methods of calculation.Contents
Classical dynamics
Maxwell equations
Electromagnetic field in homogeneous microspheres without surface structures
Electromagnetic eigen oscillations and fields in a dielectric microsphere with multilayer spherical stack
Transmittance and resonance tunneling of the optical fields in the microspherical metal-dielectric structures
Confinement of electromagnetic oscillations in a dielectric microsphere coated by the frequency dispersive multilayers
Oscillations in microspheres with an active kernel
Transfer matrix approach in a non-uniform case
The quantum phenomena in microspheres
Coupling of two-level atom with electromagnetic field
Classical field
Quantization of electromagnetic field
Schrodinger and interaction pictures
Two-level atom (the matrix approach, a quantized field)
Dynamics of spontaneous emission of two-level atom in microspheres : direct calculation
Numerical methods and object-oriented approach to the problems of multilayered microsystems
Use of numerical experiment
Exception handling
Visual programming : controls, events and handlers
Quantum electromagnetic field
Root finding for nonlinear and complex equations
Evaluation of complex ODE
The complex vectorial and matrix operations
Spontaneous emission of atom in microsphere
Electromagnetic oscillations in layered microsphere
Appendicies