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Erschienen in:
Introduction to Optical Waveguides Kapitel lesen Erstes Kapitel lesen

2019 | OriginalPaper | Buchkapitel

6. Finite Element Method for Sensing Applications

verfasst von : Khaled S. R. Atia, Souvik Ghosh, Ahmed M. Heikal, Mohamed Farhat O. Hameed, B. M. A. Rahman, S. S. A. Obayya

Erschienen in: Computational Photonic Sensors

Verlag: Springer International Publishing

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Abstract

In this chapter, the fundamentals of the nodal finite element method (FEM) are presented, including the first-order element and second-order element. The nodal FEM is introduced for the scalar concept of the propagation constant of 2D waveguide cross section. Then, it is extended to include the time domain analysis under perfectly matched layer absorbing boundary conditions. A simple sensor based on optical grating is thereafter simulated using the time domain FEM. Also, the full vectorial analysis is discussed through the application of the penalty function method on the nodal FEM and the vector finite element method (VFEM). For the penalty function method, a global weighting factor is used to incorporate the effect of the divergence-free equation. In the VFEM, nodes are used to represent the orthogonal component of the field while the edges are used to represent the tangential component for accurate application of the boundary conditions. Finally, surface plasmon resonance photonic crystal fiber biosensor is introduced as an example of the full vectorial analysis using the VFEM.

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Vorheriges Kapitel Basic Principles of Biosensing
Nächstes Kapitel FDTD in Cartesian and Spherical Grids
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Metadaten
Titel
Finite Element Method for Sensing Applications
verfasst von
Khaled S. R. Atia
Souvik Ghosh
Ahmed M. Heikal
Mohamed Farhat O. Hameed
B. M. A. Rahman
S. S. A. Obayya
Copyright-Jahr
2019
Buch
Computational Photonic Sensors

Print ISBN: 978-3-319-76555-6

Electronic ISBN: 978-3-319-76556-3

Copyright-Jahr: 2019

DOI
https://doi.org/10.1007/978-3-319-76556-3_6

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