Mikhail Kaliteevski
ITMO University, Russia
Title: Quantization of electromagnetic field in an inhomogeneous medium based on scattering matrix formalism (S-quantization)
Biography
Biography: Mikhail Kaliteevski
Abstract
We have developed a procedure for quantization of the electromagnetic field in a layered inhomogeneous media based on analysis of the Eigen values of the scattering matrix (S-matrix). In contrast to the method involving quantization of the electromagnetic field, involving the use of periodic boundary conditions (Born–von Karman conditions), the proposed procedure (S-quantization) is based on equality of the amplitudes of waves incident on a quantization box and waves outgoing from the quantization box, which is equivalent to equating unity Eigen values of the scattering matrix. We perform a comparison of the density of states and spatial structure of the field calculated with periodic boundary conditions and using the procedure of S-quantization. S-quantization allows calculating modification of the spontaneous emission rate for arbitrary inhomogeneous structure and direction of the emitted radiation. S-quantization solves the long-standing problem coupled to normalization of the quasi-stationary electromagnetic modes. Examples of application of S-quantization for the calculation of spontaneous emission rate for the cases of Bragg reflectors, micro-cavities, photonic quasi-crystals and plasmonic structures are demonstrated.
