Spectral penalty method for optical waveguide mode computations
Abstract:
In this talk we present a pseudospectral penalty formulation for solving optical waveguide mode solutions based on a partial set of frequency domain Maxwell’s equations. The required boundary operator for the partial set of equations is identified, and its relationships with the common physical boundary conditions are established, at the theoretical level. These analytical results are employed to construct a computational framework based on a Legendre pseudospectral multi-domain approach with boundary conditions enforced weakly through the penalty methodology. Numerical experiments are conducted to verify the performance of the method and we observe the expected spectral convergence of the scheme for smooth problems and for problems having material property jumps across material interfaces. For dielectric waveguides having sharp corners the order of convergence is at most first order due to the singular nature of fields at the corner. Nevertheless, compared other numerical approaches the present formulation remains as an efficient approach to obtain waveguide mode solutions.
Tea Time: 3:30PM R707