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Accurate Time Domain Method for Simulation of Microstructured Electromagnetic and Photonic Structures

Authors: Vijay Janyani, Trevor M. Benson, Ana Vukovic

Abstract:

A time-domain numerical model within the framework of transmission line modeling (TLM) is developed to simulate electromagnetic pulse propagation inside multiple microcavities forming photonic crystal (PhC) structures. The model developed is quite general and is capable of simulating complex electromagnetic problems accurately. The field quantities can be mapped onto a passive electrical circuit equivalent what ensures that TLM is provably stable and conservative at a local level. Furthermore, the circuit representation allows a high level of hybridization of TLM with other techniques and lumped circuit models of components and devices. A photonic crystal structure formed by rods (or blocks) of high-permittivity dieletric material embedded in a low-dielectric background medium is simulated as an example. The model developed gives vital spatio-temporal information about the signal, and also gives spectral information over a wide frequency range in a single run. The model has wide applications in microwave communication systems, optical waveguides and electromagnetic materials simulations.

Keywords: Computational electromagnetics, Numerical Simulation, Transmission Line Modeling

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1057167

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[1] S. A. Rinne, F. Garcia-Santamaria, and P. V. Braun, "Embedded Cavities and Waveguides in Three-Dimensional Silicon Photonic Crystals," Nature Photonics, vol. 2, pp. 52-56, 2008.
[2] I. Fushman, E. Waks, D. Englund, N. Stoltz, P. Petroff, and J. Vuckovic, "Ultrafast Nonlinear Optical Tuning of Photonic Crystal Cavities," Applied Physics Letters, vol. 90, pp. 0911181-0911183, 2007.
[3] M. Dems and K. Panajotov, "Modeling of Single- and Multimode Photonic-Crystal Planar Waveguides With the Plane-Wave Admittance Method," Applied Physics B, vol. 89, pp. 19-23, 2007.
[4] R. M. Joseph and A. Taflove, "FDTD Maxwell's Equations Models for Nonlinear Electrodynamics and Optics," IEEE Transactions on Antennas and Propagation, vol. 45, pp. 364-374, 1997.
[5] C. Christopoulos, The Transmission-Line Modeling Method: TLM. Piscataway, NJ: IEEE Press, 1995.
[6] J. Paul, "Modelling of General Electromagnetic Properties in TLM," in School of Electrical and Electronic Engineering. Nottingham: University of Nottingham, 1998.
[7] P. Russer, P. So, and W. Hoefer, "Modeling of Nonlinear Active Regions in TLM," Microwave Guided Letters, vol. 1, pp. 8-10, 1991.
[8] V. Janyani, J. D. Paul, A. Vukovic, T. M. Benson, and P. Sewell, "TLM Modelling of Non-Linear Optical Effects in Fibre Bragg Gratings," IEE Proceedings Optoelectronics,, vol. 151, pp. 185-192, 2004.
[9] S. Lidgate, "Advanced Finite Difference-Beam Propagation Method Analysis of Complex Components," in School of Electrical and Electronic Engineering. Nottingham: University of Nottingham, 2004.
[10] V. Janyani, A. Vukovic, J. D. Paul, T. M. Benson, and P. Sewell, "Time Domain Simulation in Photonics: A Comparison of Nonlinear Dispersive Polarisation Models," Optical and Quantum Electronics, vol. 37, pp. 3-24, 2005.