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Finite Element Method for Sensing Applications
- Source :
- Computational Photonic Sensors ISBN: 9783319765556
- Publication Year :
- 2018
- Publisher :
- Springer International Publishing, 2018.
-
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.
- Subjects :
- Physics
Scalar (mathematics)
Mathematical analysis
Physics::Optics
02 engineering and technology
01 natural sciences
Finite element method
010309 optics
020210 optoelectronics & photonics
Perfectly matched layer
0103 physical sciences
0202 electrical engineering, electronic engineering, information engineering
Penalty method
Time domain
Boundary value problem
Propagation constant
Tangential and normal components
Subjects
Details
- ISBN :
- 978-3-319-76555-6
- ISBNs :
- 9783319765556
- Database :
- OpenAIRE
- Journal :
- Computational Photonic Sensors ISBN: 9783319765556
- Accession number :
- edsair.doi...........3088db898cf90274eedec6b4a9bf69d0