JEMAA  Vol.4 No.2 , February 2012
Periodic Modulation of Nonlinearity in a Fiber Bragg Grating: A Numerical Investigation
Abstract: We present numerical studies on the switching characteristics of a fiber Bragg grating (FBG) with modulation in the third order nonlinear index of refraction along it’s length. The FBG is operating in a continuous wave regime (CW). This study was done taking into account the possible asymmetry brought by the non harmonic modulation of the nonlinearity, leading to different reflection and transmission characteristics, that depend on the direction of propagation along the modulated nonlinear FBG. This phenomenon may be useful for applications like an optical isolator. It was found that for a set of values of the modulation parameter, the FBG can exhibit multistable states. The numerical studies were obtained starting from the coupled-mode equations solved from the coupled-mode theory and simulated using the fourth-order Runge-Kutta method.
Cite this paper: A. Filho, J. Sousa, A. Neto, J. Menezes and A. Sombra, "Periodic Modulation of Nonlinearity in a Fiber Bragg Grating: A Numerical Investigation," Journal of Electromagnetic Analysis and Applications, Vol. 4 No. 2, 2012, pp. 53-59. doi: 10.4236/jemaa.2012.42007.

[1]   W. W. Morey, G. A. Ball and G. Meltz, “Photoinduced Bragg Gratings in Optical Fibers,” Optics & Photonics News, Vol. 5, No. 2, 1994, pp. 8-14. doi:10.1364/OPN.5.2.000008

[2]   H. Lee and G. P. Agrawall, “Nonlinear Switching of Optical Pulses in Fiber Bragg Gratings,” IEEE Journal of Selected Topics in Quantum Electronics, Vol. 39 No. 3 2003, pp. 508-515. doi:10.1109/JQE.2002.808165

[3]   H. Zoweil and J. W. Y. Lit, “Bragg Grating with Periodic Non-Linearity as Optical Switching,” Optics Communications, Vol. 212, 2002, p. 57. doi:10.1016/S0030-4018(02)01892-8

[4]   R. Kashyap, “Fiber Bragg Gratings,” Academic Press, San Diego, 1985, pp. 197-221.

[5]   F. A. Hopf and G. I. Stegeman, “Applied Classical Elec- trodynamics,” Linear Optics, Vol. 1, 1985, pp. 148-152.

[6]   F. A. Hopf and G. I. Stegeman, “Applied Classical Electrodynamics,” Nonlinear Optics, Vol. 2, 2007, pp. 122-125.

[7]   H. G. Winful, J. H. Marburger and E. Garmire, “Theory of Bistability in Nonlinear Distributed Feedback Structures,” Applied Physics Letters, Vol. 35, No. 5, 1979, pp. 379-381. doi:10.1063/1.91131

[8]   L. R. Chen, S. L. Benjamin, P. W. E. Smith and J. E. Sipe, “Ultrashort Pulse Reflection from Fiber Gratings: A Numerical Investigation,” IEEE/OSA Journal of Light- wave Technology, Vol. 15, No. 8, 1997, pp. 1503-1512.