Well-Conditioned 2D Models of Rod Arrays for Accelerating 3D Simulations of Photonic Crystals and Plasmonic Structures

Hatipoglu, Murat Enes
Sever, Emrah
Eris, Ozgur
Ergül, Özgür Salih
Rod arrays consisting of finite-length cylinders are commonly used in the design of high-frequency resonance scattering assemblies, such as plasmonic, photonic-crystal, and near-zero-index structures. During the optimization of these three-dimensional structures by means of genetic algorithms, analyses with three-dimensional solvers, such as the multilevel fast multipole algorithm, create a time bottleneck On the other hand, simulation results in many applications show features that are independent of longitudinal dimensions. For this reason, the idea of using well-conditioned solvers in two dimensions is found worth being evaluated and it is aimed to compare the two types of solvers in this study.
International Symposium of the Applied-Computational-Electromagnetics-Society (ACES)


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In this thesis, numerical modelling of temporal and spatial pattern formation in the planar layered system, consisted of a DC driven planar gas discharge layer, coupled to high ohmic semiconductor layer, is carried out in 1D and 2D Cartesian geometry. Numerical model includes continuity equations for ions and electrons, the Poisson equation for the electric field, the energy balance equation for the background gas. The conditions correspond to a transition from the Townsend regime to the glow discharge. Cal...
Citation Formats
M. E. Hatipoglu, E. Sever, F. Dikmen, O. Eris, and Ö. S. Ergül, “Well-Conditioned 2D Models of Rod Arrays for Accelerating 3D Simulations of Photonic Crystals and Plasmonic Structures,” presented at the International Symposium of the Applied-Computational-Electromagnetics-Society (ACES), ELECTR NETWORK, 2021, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/94986.