Robert Claude Gauthier
Carleton University, Canada
Title: Fourier-Bessel electromagnetic mode solver (and its inversion)
Biography
Biography: Robert Claude Gauthier
Abstract
Numerical simulations of electromagnetic phenomena provide the researcher and the component designer with a cost eff ective alternative to device manufacturing of prototypes. Techiques such as FDTD and FEM are commonly employed but hit up against speed and memory boundaries when structures are irregular or extend over all three coordinate axis. Th e talk will present a numerical technique, based on spectral analysis, which is suitable for numerical analysis of structures which present cylindrical and spherical geometries. Th e theoretical foundations of the numerical technique will be presented which takes its roots in Maxwell’s curl coupled equations rather than the usual wave equations. Th e eigenvalue matrix system properties were explored and symmetry techniques utilized to reduce the matrix order and tune “mode family” computations were highlighted leading to faster computation engines. Several computation examples will be presented indicating the suitability of the technique to obtain localized states in resonators, axially propagated fi elds in fi ber geometries and in spherical resonators. Recently, the numerical process has been inverted such that the material properties of an optical resonator and waveguide can be determined based on the user defi ned modal profi le and propagation properties selected by the designer theoretical details and numerical examples of the inverse process will close the presentation.