A MONTE CARLO METHODOLOGY FOR THE SOLUTION OF MAXWELL'S EQUATIONS

This monograph represents the first meaningful§attempt to obtain a Monte Carlo solution of Maxwell's§equations at sub- and multiple- wavelength length§scales. The application area of interest is in the§electromagnetic analysis of IC-interconnect§structures at multi-GHz frequencies. The§methodologies developed in this monograph have laid§the foundation for the development of a new Monte§Carlo methodology for the solution of nonlinear§partial differential equations and for the solution§of Neumann and mixed boundary condition problems§without 'reflections' at domain boundaries. The§target audience of this monograph is engineers,§physicists and computational scientists from all§disciplines. In general, the Monte Carlo method is§less developed compared to other deterministic§numerical methods. The author believes that§significant progress has been made in applying the§Monte Carlo method to problems, where it has not been§applied in the past. It is his hope that this§monograph, along with its spin-off research will§excite interest in the application of the Monte Carlo§method to wave problems, to nonlinear problems and to§problems with Neumann and mixed boundary conditions.