Bidirectional finite-element method-of-line beam propagation method (FE-MoL-BPM) for analyzing optical waveguides with discontinuities

1998 ◽  
Vol 10 (2) ◽  
pp. 244-245 ◽  
Author(s):  
K. Kawano ◽  
T. Kitoh ◽  
M. Kohtoku ◽  
T. Ito ◽  
Y. Hasumi
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Optical Waveguides ◽  
Beam Propagation Method ◽  
Beam Propagation ◽  
Line Beam ◽  
Element Method

A Novel Finite Element Method Based Beam Propagation Method without Using Slow Varying Envelope Approximation

2014 ◽  
Vol 529 ◽  
pp. 660-664
Author(s):  
Bing Yu ◽  
Han Xia ◽  
Zhun Xu ◽  
Xiao Ye Chen ◽  
Xian Han Sun ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Helmholtz Equation ◽  
Beam Propagation Method ◽  
Beam Propagation ◽  
Wide Angle ◽  
Element Method

A novel finite element method (FEM) based wide-angle (WA) beam propagation method (BPM) was presented whereby the scalar Helmholtz equation was solved without using the slow varying envelope approximation (SVEA) and was more general and precise than the previous well-known WA-BPM proposed by Hadley. The accuracy of this novel scheme was demonstrated in comparison with the existing approach.

A Locally Modal B-Spline Based Full-Vector Finite-Element Method with PML for Nonlinear and Lossy Plasmonic Waveguide

Frequenz ◽  
2016 ◽  
Vol 70 (9-10) ◽  
Author(s):  
Hossein Karimi ◽  
Saeid Nikmehr ◽  
Ehsan Khodapanah
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Beam Propagation Method ◽  
Beam Propagation ◽  
Nonlinear Modes ◽  
B Spline ◽  
Spline Finite Element ◽  
Physical Insight ◽  
Insight Into ◽  
Element Method

AbstractIn this paper, we develop a B-spline finite-element method (FEM) based on a locally modal wave propagation with anisotropic perfectly matched layers (PMLs), for the first time, to simulate nonlinear and lossy plasmonic waveguides. Conventional approaches like beam propagation method, inherently omit the wave spectrum and do not provide physical insight into nonlinear modes especially in the plasmonic applications, where nonlinear modes are constructed by linear modes with very close propagation constant quantities. Our locally modal B-spline finite element method (LMBS-FEM) does not suffer from the weakness of the conventional approaches. To validate our method, first, propagation of wave for various kinds of linear, nonlinear, lossless and lossy materials of metal-insulator plasmonic structures are simulated using LMBS-FEM in MATLAB and the comparisons are made with FEM-BPM module of COMSOL Multiphysics simulator and B-spline finite-element finite-difference wide angle beam propagation method (BSFEFD-WABPM). The comparisons show that not only our developed numerical approach is computationally more accurate and efficient than conventional approaches but also it provides physical insight into the nonlinear nature of the propagation modes.

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