Rigorous analysis of numerical methods: a comparative study
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For any photonic device simulation, the accuracy of the numerical solution not only depends on the methods being used but also on the discretization parameters used in that numerical method. In this work, Finite Element Method and Finite Difference Time Domain Method based on Maxwell’s equations were used to simulate optical waveguides and directional couplers. As the solution accuracy may also depend on the index contrast used in such photonic devices, the characteristics of low-index contrast Germanium doped Silica and high-index contrast Silicon Nanowire Waveguides were analyzed, evaluated and benchmarked. Numerical results to benchmark Directional Couplers are also reported in this paper.
KeywordsWaveguides, couplers, and arrays Finite element methods Integrated optics
Authors acknowledge, numerical simulations by Dr. Ajanta Bahr, IIT Delhi, India, Mr. Jitendra K. Mishra, ISM, Dhanbad, India, Mr. Yousaf Omar Azabi, City University London, UK, Md. Enayetur Rahman, City University London, UK, and Mr. James Pond, Ph.D., Lumerical Solutions, Inc., Canada.
- Davies, J.B., Muilwyk, C.A.: Numerical solution of uniform hollow waveguides with boundaries of arbitrary shape. In: Proceedings of the Institution of Electrical Engineers, vol. 113, pp. 277–284. IET (1966)Google Scholar
- Itoh, T.: Numerical Techniques for Microwave and Millimeter-Wave Passive Structures. Wiley, New York (1989)Google Scholar
- Knox, R., Toulios, P.: Integrated circuits for the millimeter through optical frequency range. In: Proceedings of Symposium Submillimeter Waves, vol. 20, pp. 497–515. Polytechnic Press of Polytechnic Institute of Brooklyn (1970)Google Scholar
- März, R.: Integrated Optics: Design and Modeling. Artech House on Demand, Boston (1995)Google Scholar