Scattering Matrix

by Janusz Dobrowolski (Author)

Periodic structures are of great importance in electromagnetics due to their wide range of applications such as frequency selective surfaces (FSS), electromagnetic band gap (EBG) structures, periodic absorbers, meta-materials, and many others. The aim of this book is to develop efficient computational algorithms to analyze the scattering properties of various electromagnetic periodic structures using the finite-difference time-domain periodic boundary condition (FDTD/PBC) method. A new FDTD/PBC-based algorithm is introduced to analyze general skewed grid periodic structures while another algorithm is developed to analyze dispersive periodic structures. Moreover, the proposed algorithms are successfully integrated with the generalized scattering matrix (GSM) technique, identified as the hybrid FDTD-GSM algorithm, to efficiently analyze multilayer periodic structures.

Scattering theory is, roughly speaking, perturbation theory of self-adjoint operators on the (absolutely) continuous spectrum.

Most available books on computational electrodynamics are focused on FDTD, FEM, or other specific technique developed in microwave engineering. This is a complete guide to the principles and detailed mathematics of the up-to-date Fourier modal method of optical analysis.

Light Scattering by Systems of Particles comprehensively develops the theory of the null-field method (also called T-matrix method), while covering almost all aspects and current applications. The Null-field Method with Discrete Sources is an extension of the Null-field Method (also called T-Matrix Method) to compute light scattering by arbitrarily shaped dielectric particles. It also incorporates FORTRAN programs and exemplary simulation results that demonstrate all aspects of the latest developments of the method. The FORTRAN source programs included on the enclosed CD exemplify the wide range of application of the T-matrix method. Worked examples of the application of the FORTRAN programs show readers how to adapt or modify the programs for his specific application.