Accurate and efficient simulation for silicon-nanowire-based multimode interference couplers with a 3D finite-element mode-propagation analysis

A three-dimensional (3D) finite-element mode-propagation analysis is presented to give an accurate and efficient simulation for silicon-nanowire-based multimode interference (MMI) couplers. For the presented numerical method, a finite-element method mode solver is used to calculate the mode profiles and the propagation constants in a multimode section. The comparison between the presented method and some other numerical methods [e.g., finite-difference time-domain (FDTD) method, beam propagation methods, etc.] is also shown. It is shown that the presented numerical method gives simulation results very close to those from the 3D FDTD (with a deviation less than 1%). Therefore, it is very convenient for the design of Si-nanowire-based MMI couplers.

[1]  K Takiguchi,et al.  Arrayed-waveguide grating with uniform loss properties over the entire range of wavelength channels. , 2006, Optics letters.

[2]  Daming Zhang,et al.  Ultrashort Polarization Splitter Using Two-Mode Interference in Silicon Photonic Wires , 2009 .

[3]  S. Darmawan,et al.  A rigorous comparative analysis of directional couplers and multimode Interferometers based on ridge waveguides , 2005, IEEE Journal of Selected Topics in Quantum Electronics.

[4]  C. Caneau,et al.  Use of multimode interference couplers to broaden the passband of wavelength-dispersive integrated WDM filters , 1996, IEEE Photonics Technology Letters.

[5]  Takeshi Fujisawa,et al.  Full-vector finite-element beam propagation method for three-dimensional nonlinear optical waveguides , 2002 .

[6]  J. H. Povisen,et al.  Improved two-dimensional beam-propagation method for three-dimensional integrated-optical waveguide structures having rectangular-core cross sections. , 1994, Optics letters.

[7]  H Melchior,et al.  Overlapping-image multimode interference couplers with a reduced number of self-images for uniform and nonuniform power splitting. , 1995, Applied optics.

[8]  Edward Van Keuren,et al.  A three-dimensional wide-angle BPM for optical waveguide structures. , 2007, Optics express.

[9]  Sailing He,et al.  Multimode interference effect in plasmonic subwavelength waveguides and an ultra-compact power splitter , 2007 .

[10]  Bernard Kippelen,et al.  Variable splitting ratio 2 x 2 MMI couplers using multimode waveguide holograms. , 2007, Optics express.

[11]  Sailing He,et al.  Improved performance of a silicon-on-insulator-based multimode interference coupler by using taper structures , 2005 .

[12]  E.C.M. Pennings,et al.  Optical multi-mode interference devices based on self-imaging: principles and applications , 1995 .

[13]  Sailing He,et al.  Optimization of Ultracompact Polarization-Insensitive Multimode Interference Couplers Based on Si Nanowire Waveguides , 2006, IEEE Photonics Technology Letters.

[14]  Siegfried Janz,et al.  High bandwidth SOI photonic wire ring resonators using MMI couplers. , 2007, Optics express.

[15]  Chenglin Xu,et al.  Theoretical approach to a polarization-insensitive single-mode microring resonator. , 2004, Optics express.

[16]  Henri P. Uranus,et al.  Galerkin finite element scheme with Bayliss-Gunzburger-Turkel-like boundary conditions for vectorial optical mode solver , 2003 .

[17]  T. Murphy,et al.  Vector Finite Difference Modesolver for Anisotropic Dielectric Waveguides , 2008, Journal of Lightwave Technology.

[18]  Paul Lagasse,et al.  Beam-propagation method: analysis and assessment , 1981 .

[19]  Kin Seng Chiang,et al.  Construction of refractive-index profiles of planar dielectric waveguides from the distribution of effective indexes , 1985 .

[20]  Shyh-Lin Tsao,et al.  A novel 1 × 2 single-mode 1300/1550 nm wavelength division multiplexer with output facet-tilted MMI waveguide , 2004 .

[21]  Seung Gol Lee,et al.  Design and fabrication of a significantly shortened multimode interference coupler for polarization splitter application , 2003 .

[22]  Henri Uranus,et al.  Modelling of microstructured waveguides using a finite-element-based vectorial mode solver with transparent boundary conditions. , 2004, Optics express.

[23]  Sailing He,et al.  Design of an ultrashort Si-nanowaveguide-based multimode interference coupler of arbitrary shape. , 2008, Applied optics.

[24]  Sławomir Sujecki Wide-angle, finite-difference beam propagation in oblique coordinate system. , 2008, Journal of the Optical Society of America. A, Optics, image science, and vision.

[25]  Sailing He,et al.  Optimal design of an MMI coupler for broadening the spectral response of an AWG demultiplexer , 2002 .

[26]  T. Kikuchi,et al.  Electro-optic multimode interference device using organic materials. , 2006, Applied optics.

[27]  P. Dumon,et al.  Nanophotonic waveguides in silicon-on-insulator fabricated with CMOS technology , 2005, Journal of Lightwave Technology.

[28]  Allen Taflove,et al.  Review of the formulation and applications of the finite-difference time-domain method for numerical modeling of electromagnetic wave interactions with arbitrary structures , 1988 .

[29]  G. R. Hadley,et al.  Wide-angle beam propagation using Pade approximant operators. , 1992, Optics letters.