Rigorous analysis of numerical methods: a comparative study

Hada, S. L. & Rahman, B. M. (2016). Rigorous analysis of numerical methods: a comparative study. Optical and Quantum Electronics, 48(6), 309.. doi: 10.1007/s11082-016-0579-x

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Abstract

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.

Item Type: Article
Additional Information: The final publication is available at Springer via http://dx.doi.org/10.1007/s11082-016-0579-x
Uncontrolled Keywords: Waveguides, couplers, and arrays, Finite element methods, Integrated optics
Subjects: T Technology > TK Electrical engineering. Electronics Nuclear engineering
Divisions: School of Engineering & Mathematical Sciences > Engineering
URI: http://openaccess.city.ac.uk/id/eprint/17748

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