We use finite difference time domain, specifically Lumerical, to model many of the properties of the optical fields in our waveguides and resonators. For example, we model the location, profile and intensity of the field. Depending on the scale needed, simulations are in 2D or 3D.
We perform finite element method (FEM) modeling, specifically COMSOL Multiphysics, to model the complex, inter-related, time-dependent behaviors of our structures. COMSOL allows different physical phenomena to be linked together – for example, mass transport of a biological species to the surface of a sensor and it binding kinetics at the surface. The most frequent models incorporate E&M, heat and mass transfer, mechanical behavior and kinetics.
Recent papers in this area: