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IEEE photonics journal

Two-Dimensional Discrete Cavity Solitons: Switching and All-Optical Gates

Keivan Mahmoud Aghdami, Mojtaba Golshani, Reza Kheradmand

Published Jun 19, 2012• 19 citations
Publisher

Abstract

Light propagation in a 2-D array of coupled optical cavities with Kerr nonlinearity driven by a plane holding beam is numerically studied. Optical bistability together with its modulational instability (MI) are investigated, and 2-D discrete cavity solitons are simulated. These simulations revealed the switching on/off of the solitons along with the ability of a proper Gaussian beam (GB) to control their positions. Soliton-soliton and soliton-GB interactions are considered, and finally, all-optical NOR , XNOR, and NAND gates are proposed as realized by this device.

DOI
10.1109/jphot.2012.2205234

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Light propagation in a 2-D array of coupled optical cavities with Kerr nonlinearity driven by a plane holding beam is numerically studied. Optical bistability together with its modulational instability (MI) are investigated, and 2-D discrete cavity solitons are simulated. These simulations revealed the switching on/off of the solitons along with the ability of a proper Gaussian beam (GB) to control their positions. Soliton-soliton and soliton-GB interactions are considered, and finally, all-optical NOR , XNOR, and NAND gates are proposed as realized by this device.
This thesis presents the theory of the driven optical ring cavity containing a nonlinear material. First, an overview of the history of bistability and spatial solitons in driven nonlinear cavities is outlined. Then, the basic theory of the optical Kerr effect is presented and two of its consequences are outlined: optical bistability and spatial solitons. Within this background, the mirror feedback model is derived from the Maxwell-Bloch equations and considerations of the classical optics of the cavity. This model is analytically shown to exhibit bistability in the plane wave case. The mean-field model is subsequently derived by applying the mean-field limit to the Maxwell-Bloch equations and the cavity optics. In addition, the mean-field model is analytically shown to exhibit bistability in the plane wave case. Numerical simulations are performed on the mean-field model demonstrating the existence of: (i) plane wave bistability, (ii) transverse modulational bistability, (iii) the ability to “switch†between bistable states in both the plane wave and modulated case, (iv) instabilities in the modulated case and (v) the possibility for optimization of the switching process. Finally, an application of bistable driven cavities is explored: an all-optical digital information processor and storage device.
In this study, we theoretically investigate the optical bistability (OB) in hybrid triple-cavity optomechanical systems (OMSs) composed of three coupled cavities (two optical cavities and one optomechanical cavity) in the presence of semiconductor quantum dot molecules and a Kerr medium with a Kerr coefficient of χ when the optomechanical cavity is driven by a pump laser with frequency ωp and the amplitude Ep, which results in optical pressure on the movable mirror of the OMS. The dynamical equations of motion for this triple-cavity hybrid system in the steady state limit are solved using the Heisenberg-Langevin equations to achieve OB. We have demonstrated that it is possible to adjust both the width of the hysteresis loop and the switching threshold by controlling the Kerr coefficient . t is found that by properly tuning the physical parameters, the bistable thresholds of the system can be switched on and switched off, which is useful for designing and optimizing sensitive all-optical switching .
Two input beams at the same frequency excite the counter-propagating modes of a bidirectional ring cavity. These modes are coupled in the presence of a homogeneously broadened nonlinear medium and the optical device acts as two bistable switches whose characteristics can be mutually controlled. After a proper account of interference between the forward and backward waves, new features of optical bistability in a bidirectional ring cavity are discussed. It is found that when the intensity of one of the incident beams is held fixed in a critical range, the device switches on but never switches off as the intensity of the other beam is first increased and then decreased to zero.