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1. Comprehensive Numerical Analysis of Finite Difference Time Domain Methods for Improving Optical Waveguide Sensor Accuracy

Author

M. Mosleh E. Abu Samak, A. Ashrif A. Bakar, Muhammad Kashif, and Mohd Saiful Dzulkifly Zan

Subjects
surface plasmon resonance SPR, FDTD methods, multi-dimensional FDTD, optical waveguide sensor OWS, Chemical technology, TP1-1185
Abstract

This paper discusses numerical analysis methods for different geometrical features that have limited interval values for typically used sensor wavelengths. Compared with existing Finite Difference Time Domain (FDTD) methods, the alternating direction implicit (ADI)-FDTD method reduces the number of sub-steps by a factor of two to three, which represents a 33% time savings in each single run. The local one-dimensional (LOD)-FDTD method has similar numerical equation properties, which should be calculated as in the previous method. Generally, a small number of arithmetic processes, which result in a shorter simulation time, are desired. The alternating direction implicit technique can be considered a significant step forward for improving the efficiency of unconditionally stable FDTD schemes. This comparative study shows that the local one-dimensional method had minimum relative error ranges of less than 40% for analytical frequencies above 42.85 GHz, and the same accuracy was generated by both methods.

Published
2016
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2. Comprehensive Numerical Analysis of Finite Difference Time Domain Methods for Improving Optical Waveguide Sensor Accuracy

Author

Mohd Saiful Dzulkefly Zan, M. Mosleh E. Abu Samak, Ahmad Ashrif A Bakar, and Muhammad Kashif

Subjects
multi-dimensional FDTD, 02 engineering and technology, Interval (mathematics), lcsh:Chemical technology, Time saving, FDTD methods, Biochemistry, Analytical Chemistry, optical waveguide sensor OWS, Approximation error, 0202 electrical engineering, electronic engineering, information engineering, Electronic engineering, lcsh:TP1-1185, Electrical and Electronic Engineering, Instrumentation, Mathematics, surface plasmon resonance SPR, Small number, Numerical analysis, Finite-difference time-domain method, 020206 networking & telecommunications, Concept Paper, 021001 nanoscience & nanotechnology, Atomic and Molecular Physics, and Optics, Wavelength, Alternating direction implicit method, 0210 nano-technology, Algorithm
Abstract

This paper discusses numerical analysis methods for different geometrical features that have limited interval values for typically used sensor wavelengths. Compared with existing Finite Difference Time Domain (FDTD) methods, the alternating direction implicit (ADI)-FDTD method reduces the number of sub-steps by a factor of two to three, which represents a 33% time savings in each single run. The local one-dimensional (LOD)-FDTD method has similar numerical equation properties, which should be calculated as in the previous method. Generally, a small number of arithmetic processes, which result in a shorter simulation time, are desired. The alternating direction implicit technique can be considered a significant step forward for improving the efficiency of unconditionally stable FDTD schemes. This comparative study shows that the local one-dimensional method had minimum relative error ranges of less than 40% for analytical frequencies above 42.85 GHz, and the same accuracy was generated by both methods.

Published
2016

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