Rapid Simulation of Scattering Parameters for Coupled Waveguides with Arbitrary Geometries

We present a new method to accurately simulate arbitrarily shaped coupled waveguides and ring resonators 100 to 1000 times faster than existing techniques. The new method uses a novel analytic formulation and multivariate polynomial regression to map the physical dimensions of the simulated waveguides to the complex cross-coupling coefficients of input and output ports, giving the full scattering parameters. We benchmark the results against full-wave solutions and illustrate its use with several application examples.