This paper describes a simulation method for 2D frequency domain scattering problems in photonics. The technique reduces the spatial dimensionality of the problem by means of global, continuous mode expansion combined with a variational formalism; the resulting equations are solved using a finite element method. Transparent influx boundary conditions and perfectly matched layers are employed at the computational window boundaries. Numerical examples validate the method.
- optical scattering
- variational methods
- Numerical modelling
- Integrated Optics
Ivanova, A., Stoffer, R., & Hammer, M. (2010). A dimensionality reduction technique for 2D scattering problems in photonics. Journal of optics, 12(3), 035502. https://doi.org/10.1088/2040-8978/12/3/035502