Simulation of three-dimensional waveguide discontinuities by a full-vector mode-matching method based on finite-difference schemes.

A rigorous full-vector analysis based on the finite-difference mode-matching method is presented for three-dimensional optical wave propagation problems. The computation model is facilitated by a perfectly matched layer (PML) terminated with a perfectly reflecting boundary condition (PRB). The complex modes including both the guided and the radiation fields of the three-dimensional waveguide with arbitrary index profiles are computed by a finite-difference scheme. The method is applied to and validated by the analysis of the facet reflectivity of a buried waveguide and the power exchange of a periodically loaded dielectric waveguide polarization rotator.

[1]  Steven G. Johnson,et al.  High-density integrated optics , 1999 .

[2]  Finite-difference derivation of the reflectivity at output facets of dielectric waveguides with a highly diverging output beam , 1998 .

[3]  Jian-Ming Jin,et al.  Complex coordinate stretching as a generalized absorbing boundary condition , 1997 .

[4]  A bidirectional beam propagation method for periodic waveguides , 2002 .

[5]  Lifeng Li.  Formulation and comparison of two recursive matrix algorithms for modeling layered diffraction gratings , 1996 .

[6]  Roel Baets,et al.  Optical modelling of photonic crystals and VCSELs using eigenmode expansion and perfectly matched layers , 2001 .

[7]  Daniël De Zutter,et al.  Analysis of waveguide discontinuities using perfectly matched layers. , 1998 .

[8]  Z. Zalevsky,et al.  All-optical nano modulator on a silicon chip. , 2007, Optics express.

[9]  Multimodal analysis method for the design of passive TE/TM converters in integrated waveguides , 1993, IEEE Photonics Technology Letters.

[10]  Thomas E. Murphy,et al.  Fabrication and characterization of narrow-band Bragg-reflection filters in silicon-on-insulator ridge waveguides , 2001 .

[11]  Ya Yan Lu,et al.  A stable bidirectional propagation method based on scattering operators , 2001 .

[12]  T. E. Rozzi,et al.  Rigorous Analysis of the Step Discontinuity in a Planar Dielectric Waveguide , 1978 .

[13]  M. Lipson.  Guiding, modulating, and emitting light on Silicon-challenges and opportunities , 2005, Journal of Lightwave Technology.

[14]  K. P. Yap,et al.  Microphotonic Elements for Integration on the Silicon-on-Insulator Waveguide Platform , 2006, IEEE Journal of Selected Topics in Quantum Electronics.

[15]  3-D semivectorial analysis to calculate facet reflectivities of semiconductor optical waveguides based on the bi-directional method of line BPM (MoL-BPM) , 1998, IEEE Photonics Technology Letters.

[16]  Mikio Tsuji,et al.  Mode Propagation Through a Step Discontinuity in Dielectric Planar Waveguide , 1984 .

[17]  M. Morse,et al.  High speed silicon Mach-Zehnder modulator. , 2005, Optics express.

[18]  Donald R. Scifres,et al.  Coupled wave analysis of DFB and DBR lasers , 1977 .

[19]  T. Ando,et al.  Analysis and measurement of polarization conversion in a periodically loaded dielectric waveguide , 2002, IEEE Photonics Technology Letters.

[20]  Wei-Ping Huang,et al.  Second- and higher-order resonant gratings with gain or loss-Part 1: Green's function analysis , 2000, IEEE Journal of Quantum Electronics.

[21]  G. Reed.  Device physics: The optical age of silicon , 2004, Nature.

[22]  A. Yariv.  Coupled-mode theory for guided-wave optics , 1973 .

[23]  J P Hugonin,et al.  Use of grating theories in integrated optics. , 2001, Journal of the Optical Society of America. A, Optics, image science, and vision.

[24]  Daniël De Zutter,et al.  Efficient mode-matching analysis of discontinuities in finite planar substrates using perfectly matched layers , 2001 .

[25]  Three-dimensional vectorial analysis of waveguide structures with the method of lines , 2003 .

[26]  Wei-Ping Huang,et al.  Simulation of three-dimensional optical waveguides by a full-vector beam propagation method , 1993 .

[27]  Lifeng Li,et al.  Multilayer modal method for diffraction gratings of arbitrary profile, depth, and permittivity , 1993, OSA Annual Meeting.

[28]  M. Oron,et al.  Polarization rotation in asymmetric periodic loaded rib waveguides , 1991, Integrated Photonics Research.

[29]  Wei-Ping Huang,et al.  Finite-difference-based mode-matching method for 3-D waveguide structures under semivectorial approximation , 2005 .