Pade/spl acute/ boundary conditions for the finite-element modeling of arbitrary planar junctions

作者: C.E. Rubio-Mercedes , H.E. Hernandez-Figueroa

DOI: 10.1109/JLT.2003.822549

关键词: Finite differenceMathematical analysisWaveguide (optics)Finite element methodPerfectly matched layerMathematicsDiscontinuity (linguistics)Frequency domainBoundary value problemGeometryPlanar

摘要: Novel boundary conditions based on Pade/spl acute/ approximations for the frequency domain two-dimensional/finite element (2-D/FE) simulation of planar optical junctions arbitrary geometry and number accessing waveguides are presented described in detail. This efficient formulation is straightforwardly implemented within 2-D/FE framework also can easily be used finite difference schemes. Three examples show applicability reliability present method: a waveguide step discontinuity, transverse displacement T-shaped beam splitter.

参考文章(13)
G. Ronald Hadley, Wide-angle beam propagation using Padé approximant operators Optics Letters. ,vol. 17, pp. 1426- 1428 ,(1992) , 10.1364/OL.17.001426
Ü. Pekel, R. Mittra, A finite-element-method frequency-domain application of the perfectly matched layer (PML) concept Microwave and Optical Technology Letters. ,vol. 9, pp. 117- 122 ,(1995) , 10.1002/MOP.4650090303
Ya Yan Lu, A complex coefficient rational approximation of 1+x Applied Numerical Mathematics. ,vol. 27, pp. 141- 154 ,(1998) , 10.1016/S0168-9274(98)00009-9
M.I. Davanco, C.E. Rubio-Mercedes, H.E. Hernandez-Figueroa, Novel boundary condition for the finite-element solution of arbitrary planar junctions IEEE Photonics Technology Letters. ,vol. 13, pp. 46- 48 ,(2001) , 10.1109/68.903216
Hongling Rao, M.J. Steel, R. Scarmozzino, R.M. Osgood, Complex propagators for evanescent waves in bidirectional beam propagation method Journal of Lightwave Technology. ,vol. 18, pp. 1155- 1160 ,(2000) , 10.1109/50.857762
S. Yoneta, M. Koshiba, Y. Tsuji, Combination of beam propagation method and finite element method for optical beam propagation analysis Journal of Lightwave Technology. ,vol. 17, pp. 2398- 2404 ,(1999) , 10.1109/50.803036
T. Yasui, M. Koshiba, Y. Tsuji, A wide-angle finite element beam propagation method with perfectly matched layers for nonlinear optical waveguides Journal of Lightwave Technology. ,vol. 17, pp. 1909- 1915 ,(1999) , 10.1109/50.793775
C. Manolatou, S.G. Johnson, S. Fan, P.R. Villeneuve, H.A. Haus, J.D. Joannopoulos, High-density integrated optics Journal of Lightwave Technology. ,vol. 17, pp. 1682- 1692 ,(1999) , 10.1109/50.788575