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International Conference on Vision Towards Emerging Trends in Communication and Networking (ViTECoN)

Bistability and Switching in a Phase Shifted PT-Symmetric Fiber Bragg Grating

S. Hari Ramakrishnan, S. Vignesh Raja, A. Govindarajan, Arumugam Mahalingam

Published Mar 1, 2019• 0 citations
Publisher

Abstract

Using implicit Rungee-Kutta 4thorder method, we numerically report the optical bistablity and switching exhibited by a π-phase shifted nonlinear FBG with balanced gain and loss. Every control parameter which accounts for the variation in the hysteresis curve exhibited by the system is examined in detail. We begin with assessing the role of device length on the optical bistability and find that our system can exhibit switching at very short length of the fiber. Subsequently, the influence of coupling constant, detuning parameter and the nonlinearity on the switching power is also studied. The device exhibits switching at extremely low input intensities. Also, the effect of including the PT-symmetry on the switching characteristics of the device is investigated in brief.

DOI
10.1109/vitecon.2019.8899493

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Using implicit Rungee-Kutta 4thorder method, we numerically report the optical bistablity and switching exhibited by a π-phase shifted nonlinear FBG with balanced gain and loss. Every control parameter which accounts for the variation in the hysteresis curve exhibited by the system is examined in detail. We begin with assessing the role of device length on the optical bistability and find that our system can exhibit switching at very short length of the fiber. Subsequently, the influence of coupling constant, detuning parameter and the nonlinearity on the switching power is also studied. The device exhibits switching at extremely low input intensities. Also, the effect of including the PT-symmetry on the switching characteristics of the device is investigated in brief.
The optical performances of the all-optical switching based on Yb3+-doped fiber Bragg grating (FBG) are investigated under the case of self-phase modulation (SPM) and cross-phase modulation (XPM). For the SPM case, the optical bistability of FBG under different parameters is investigated. It shows that the width of the hysteresis loop and threshold switching power are strongly dependent on the fiber grating length, fiber grating detuning, and coupling constant. For the XPM case, the expressions of the threshold switching power in the different detuning range are given. The influence of parameters about different detuning and coupling constant to the threshold switching power and extinction ratio are also studied. In comparison with the SPM case, the switching power of FBG under XPM case can be reduced to less than 20 mW by optimizing the parameters of FBG.
In this work, we studied the optical bistability of Fiber Bragg Grating (FBG) under nonlinear regime, considering three increasing and decreasing profiles of nonlinearity: linear, quadratic and exponential. We varied the nonlinearity range in each profile, and obtained different curves of bistability and reflectivity. We analyzed the powers [Formula: see text] and [Formula: see text], as well as the width of the photonic band gap ([Formula: see text] of each device under different nonlinearity profiles, and we observed the changes in reflectivity of the FBG. The power intensities [Formula: see text] and [Formula: see text] obtained for the bistability of decreasing profiles were lower than those obtained for the increasing profiles, and the values of [Formula: see text] were also lower in decreasing profiles, which is useful for optical switching applications.
We show the Cross Phase Modulation (XPM) effect between CW probe that operates in bistability region and strong Gaussian pump in a Fiber Bragg Grating (FBG) by Implicit 4th Order Runge-Kutta Method. The XPM effect results in three unique nonlinear switching behaviors of the probe transmission depending on the pump peak intensity and its Full Width Half Maximum (FWHM) value. From this observation, we offer the FBG three potential nonlinear switching applications in all-optical signal processing domain as: a step-up all-optical switching, an all-optical inverter, and an all-optical limiter. The bistability threshold that determines the nonlinear switching behaviors of probe transmission after Gaussian pump injection is defined numerically and shown to be equivalent to the unstable state inside hysteresis loop.
We propose a new optical bistable device (OBD), which is constructed by connecting two symmetrical fiber Bragg gratings with a ytterbium-doped fiber to form a nonlinear Fabry–Perot cavity. The principle of this new OBD is described using the transfer-matrix method, and the two groups of transmitted and reflected optical bistability loops under different parameters are investigated symmetrically. Compared with single fiber Bragg grating switching, whose switching power is greater than 2 kW, this new device has evident merits in reducing the switching power to less than 45 mW.
Optical bistability in a nonlinearly reflective fiber grating through the mode coupling between the LP/sub 01/ and counter propagation LP/sub 02/ modes (i,e., the reflective LP/sub 01//spl rlhar2/LP/sub 02/ mode converter) is investigated by using the coupled-mode theory. Both the transmissive and the reflective properties of this nonlinear device are analyzed, which show that the output-versus-input relation exhibits the optical bistability. The switching power and the bistable hysteresis performances are also discussed. In addition, the comparison between the nonlinearly reflective mode converter (LP/sub 01//spl rlhar2/LP/sub 02/) and the nonlinear fiber Bragg grating reflector (i,e., the LP/sub 01/ and counter-propagation LP/sub 01/ modes) is also presented. It is shown that the former has much lower switching power than the latter.>