Numerical methods are essential for the accurate simulation and design of complex photonic components and lightwave circuits. Our group has a longstanding and extensive expertise in the development and application of advanced computational methods/techniques for simulating light propagation in photonic components and devices.

Developed methods include:
  • Finite element method (FEM), 3D, time- and frequency-domain
  • Finite difference time domain (FDTD) method
  • Beam propagation method (BPM), FEM-based, full-vector
  • Plane wave expansion (PWE)
  • Eigenmode solvers, for waveguides and resonators
Areas of application span a broad range of guided-wave optical devices and free-space/thin-film devices. In the first class, we have a track record in integrated photonic and plasmonic waveguides, photonic crystals and photonic crystal fibers. Current research focuses on passive and tunable hybrid silicon-plasmonic components including both bulk and sheet (two-dimensional) materials like graphene. In the second class, our work has focused on liquid crystal displays, spatial light modulators and diffraction gratings.



Fig. 1: Electric field distribution and phase-map along a DLSPP-based 2x2 MZI switch in the "bar" state, simulated with the FEM-based BPM.

(Click on image to enlarge)



Graphene modeled as 2D or 3D material

Fig. 2: Finite element meshing of a waveguide cross-section. The graphene monolayer, depicted in red, can be modeled as (a) sheet/2D material or as (b) bulk/3D material.

(Click on image to enlarge)


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