BOR-FDTD analysis of nonlinear Fiber Bragg grating and distributed Bragg resonator

Abstract Recently, nonlinear materials have attracted a great deal of attention because of their importance in designing new devices to meet a need range of optical systems. An intense investigation of the possibility of using these materials for all optical ultrafast applications is achieved by allowing their dielectric characteristics to be varied in such a way that a periodic perturbation of their refractive index along the length of the waveguide will be formed. The Finite-Difference Time-Domain (FDTD) method, on the other hand, has been proven to be one of the most powerful numerical techniques that are usefully applied to a wide range of optical devices. In this paper, a FDTD technique, developed for nonlinear structures, is used to analyze a nonlinear waveguide and periodic nonlinear structures that exhibit attractive properties that make them suitable for novel devices with wavelength tunable characteristics. More specifically, the Bodies of Revolution (BOR) FDTD numerical simulation method will be used to model the fiber Bragg Grating (FBG) and the direct integration method will be employed to include the effect of Self Phase Modulation (SPM) in this model. The combination of these techniques will result in a model that is used to analyze two different types of periodic nonlinear structure, FBG and Distributed Bragg Resonator (DBR). The nonlinear effect provides the designer an added degree of design flexibility for devices with wavelength tunable characteristics, for example, in the design of tunable filters, WDM systems and optical sensors.

[1]  S. Chaudhuri,et al.  A hybrid implicit-explicit FDTD scheme for nonlinear optical waveguide modeling , 1999 .

[2]  G. Kai,et al.  An embedded FBG sensor for simultaneous measurement of stress and temperature , 2006, IEEE Photonics Technology Letters.

[3]  L. Brzozowski,et al.  Optical signal processing using nonlinear distributed feedback structures , 2000, IEEE Journal of Quantum Electronics.

[4]  Stewart D. Personick,et al.  Fiber optics , 1985 .

[5]  K. Yee.  Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media , 1966 .

[6]  Allen Taflove,et al.  Computational Electrodynamics the Finite-Difference Time-Domain Method , 1995 .

[7]  M. Izutsu,et al.  Optical bistability and all-optical switching in novel waveguide junctions with localized optical nonlinearity , 1998 .

[8]  A. Taflove,et al.  Direct Time Integration of Maxwell's Equations in 2-D Dielectric Waveguides for Propagation and Scattering of Femtosecond Electromagnetic Solitons , 1993 .

[9]  M. Kuzyk,et al.  Three-dimensional optical pulse simulation using the FDTD method , 2000 .

[10]  B. Rahman,et al.  FDTD analysis of nonlinear Bragg grating based optical devices , 2007 .

[11]  Allen Taflove,et al.  Application of the Finite-Difference Time-Domain Method to Sinusoidal Steady-State Electromagnetic-Penetration Problems , 1980, IEEE Transactions on Electromagnetic Compatibility.

[12]  C. K. Chui,et al.  A novel approach to solving the nonlinear Schrodinger equation by the coupled amplitude-phase formulation , 1995 .

[13]  A. Jafari,et al.  Simulation and applications of nonlinear fiber Bragg gratings , 2009 .

[14]  I. A. Kostko,et al.  Mode Locking and Electrical Tuning of a Hybrid Laser Source Using a Connectorized Ultra-Short Fiber Bragg Grating , 2006, Journal of Lightwave Technology.

[15]  Alberto Bononi,et al.  The RP method: a new tool for the iterative solution of the nonlinear Schrodinger equation , 2002 .

[16]  K. Hill,et al.  Fiber Bragg grating technology fundamentals and overview , 1997 .

[17]  Raj Mittra,et al.  Finite-difference time-domain algorithm for solving Maxwell's equations in rotationally symmetric geometries , 1996 .

[18]  Fast single-mode characterization of optical fiber by finite-difference time-domain method , 2006, Journal of Lightwave Technology.

[19]  A Taflove,et al.  Direct time integration of Maxwell's equations in two-dimensional dielectric waveguides for propagation and scattering of femtosecond electromagnetic solitons. , 1993, Optics letters.

[20]  M. A. Aleem,et al.  ANALYSIS OF ULTRA-SHORT PULSE PROPAGATION IN NONLINEAR OPTICAL FIBER , 2009 .

[21]  Allen Taflove,et al.  FDTD Maxwell's equations models for nonlinear electrodynamics and optics , 1997 .