Modeling of highly multimode waveguides for time-domain simulation

Optical interconnection technology on the printed circuit board level is a key technology for future microelectronic equipment. Its industrial application requires sophisticated processes and technologies for the manufacturing as well as the design. In this paper, a modeling approach for a static and a time-domain simulation of board-integrated highly multimode optical waveguides with manufacturing based rough surfaces is presented. The transfer behavior of the waveguides is determined by a numerical computation of the step response using a Monte Carlo based ray tracing procedure. The step response is piecewise approximated by exponential functions in order to obtain an analytical representation of the pulse response. This approach allows the application of very fast semi-analytical recursive convolution algorithms.