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Strategic Study of CAE >> 2001, Volume 3, Issue 11

Vectorial Eigenmode Analysis of Optical Waveguides Based on the Variable Transformed Series Expansion Method

Electronic Engineering Department, Southeast University, Nanjing 210096, China

Funding project:高等学校博士学科点专项科研基金资助课题(98028638) Received: 2001-04-25 Revised: 2001-06-06 Available online: 2001-11-20

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Abstract

Vectorial eigenmodes supported by the buried rectangular and rib optical waveguides are obtained using variable transformed series expansion method. The infinite x-y plane is mapped into a unit square by an elegant tangent-type variable transformation. Consequently, the boundary truncation is not necessary, and the nonphysical reflection is eliminated. As a result, the calculation accuracy is promoted. In addition, small matrix derived from this method promotes the computational efficiency. Comparatively agreeing with those previously published, the results can be used to optimize the photonic devices.

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References

[ 1 ] Marcatilli E. Dielectric rectangular waveguide and direc-tional coupler for integrated optics [ J ]. Bell Syst Tech J, 1969, 48: 2071~2102

[ 2 ] Chiang K S. Analysis of rectangular dielectric waveg¬uides: effective-index method with built-in perturbation correction [J]. Electronics Lett, 1992, 28(4) : 388 ~ 390

[ 3 ] Patrick S S, Webb K J. A variational vector finite dif¬ference analysis for dielectric waveguides [ J ]. IEEE Trans on Microwave Theory and Techniques, 1992, 40(4): 692~698

[ 4 ] Abid Z E, Johnson A K, Gopihath A. Analysis of di¬electric guides by two-dimensional Fourier analysis [J]. J Lightwave Technol, 1989, 7(2) : 308~313

[ 5 ] Henry C H, Verbeek B H. Solution of the scalar wave equation for arbitrarily shaped dielectric waveguides by two-dimemsional Fourier analysis [ J ]. J Lightwave Technol, 1989, 7(2): 308~313

[ 6 ] Gallawa R L, Goyal I C, Tu Y, et al. Optical waveg¬uides modes : an approximate solution using Galerkin' s method with Hermite-Guass basis functions [J]. IEEE Quantum Electronics, 1991, 27(3) : 518~522

[ 7 ] Marcuse D. Solution of the vector wave equation for general dielectric waveguides by the Galerkin method [J]. IEEE J Quantum Electronics, 1992, 28(2) : 459 ~465

[ 8 ] Hwelett S J, Ladouceur F. Fourier decomposition method applied to mapped infinite domains : scalar anal¬ysis of dielectric waveguieds down to modal cutoff [J]. J Lightwave Technol, 1995, 13(3) : 375~383

[ 9 ] Sujecki S, Benson T M, Sewell P, et al. Novel vectorial analysis of optical waveguides [J]. J Lightwave Tech- nol, 1998, 16(7): 1329~1335

[10] Stern M S. Semi-vectorial polarized finite difference method for optical waveguides with arbitrary index pro¬files [J]. Inst Elect Eng Proc-J, 1988, 135 : 56~63

[11] Smartt C J , Benson T M, Berry G M, et al. Exact polarized rib-waveguide analysis [ J ]. Electron Lett, 1994, 30 : 1127 ~1128

[12] Rahman B M A, Davies J B. Vector-H finite element solution of GaAs/GaAlAs rib waveguides [J]. Inst Elec Eng Proc J, 1985, 132: 349~353

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