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IEEE Journal of Quantum Electronics

Guided-wave optical bistability in indium antimonide thin films

Jeffrey E. Ehrlich, Gaetano Assanto, G. I. Stegeman, T.H. Chiu

Published Mar 1, 1991• 11 citations
Publisher

Abstract

Various grating configurations used to obtain optical bistability in a guided-wave format are discussed and experimentally demonstrated using indium antimonide planar waveguides. The theory of nonlinear diffusive distributed input grating coupling, is presented. The enhancement afforded by additional feedback mechanisms is verified, both with an externally coupled counterpropagating beam and with an integrated optics Bragg reflector.>

DOI
10.1109/3.81393

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Various grating configurations used to obtain optical bistability in a guided-wave format are discussed and experimentally demonstrated using indium antimonide planar waveguides. The theory of nonlinear diffusive distributed input grating coupling, is presented. The enhancement afforded by additional feedback mechanisms is verified, both with an externally coupled counterpropagating beam and with an integrated optics Bragg reflector.>
Two current goals in the area of optical bistability are (1) to reduce the power required for switching between two states, and (2) to reduce the material volume (and hence power dissipation). An obvious approach is to minimize the cross-sectional area of the beam, for example by using channel waveguides of the type shown in Fig. 1. A grating milled into the surfaces can be used as the distributed feedback mechanism. In this paper we analyze a channel, guided wave, distributed feedback geometry and present numerical results for InSb waveguides.
We have analyzed four different guided wave approaches to achieving a power dependent refractive index and optical bistability. These include surface plasmons at the interface between a metal and a semiconductor, symmetric surface plasmon modes guided by thin metal films, conventional single film integrated optics waveguides, and multifilm integrated optics. The relative merits of each geometry are discussed for utilizing the large cubic nonlinearities in the semiconductors GaAs and InSb. Both the mode attenuation and the minimum power required for a nonlinear phase shift of\pi/2are evaluated numerically and it is shown that usable propagation distances can be obtained, even for highly lossy media such as GaAs.
A new use of gratings in nonlinear optics is presented, i.e., the realization of bistable components. The device studied here consist of grating couplers ruled on a Kerr nonlinear medium, which use the guided-wave resonance to increase the local field and thus the nonlinearities. The result is that they are intrinsic bistable optical systems with high-speed, low pumping thresholds, and geometry well adapted to optical integration. First, a linear electromagnetic study of the devices is presented. It follows optimizing the grating parameters in order to get the best coupling between the incident beam and the guided mode inside the corrugated waveguide. Then a graphical construction is given that demonstrates the bistable character of the system in nonlinear optics. Next a nonlinear analysis of the devices is rigorously derived from Maxwell equations. It states precisely the predictions of the graphical construction and allows comparison of the effectiveness of the guided-wave resonance with the surface plasmon resonance in order to reduce the threshold of bistability.
We have analyzed four different guided wave approaches to achieving a power dependent refractive index and optical bistability. These include surface plasmons at the interface between a metal and a semiconductor, symmetric surface plasmon modes guided by thin metal films, conventional single film integrated optics waveguides, and multifilm integrated optics. The relative merits of each geometry are discussed for utilizing the large cubic nonlinearities in the semiconductors GaAs and InSb. Both the mode attenuation and the minimum power required for a nonlinear phase shift of pi/2 are evaluated numerically and it is shown that usable propagation distances can be obtained, even for highly lossy media such as GaAs.
In order to study optical bistability in a non-linear distributed feedback structure (NLDFB), we have generalized previous work. A mono-mode rectangular waveguide is chosen as the basic configuration for the device, although other guides could be considered. The grating, providing the passive feedback mechanism, has a geometry that can be arbitrarily chosen. Linear absorption is taken into account and the non-linearity is taken to be of the Kerr type. The effect of these three perturbations is treated using the Coupled Mode Theory and the Slowly Varying Envelope Approximation, including the radiation modes. Expressions for the coupling constants due to the three fundamental perturbations are derived and we show that new terms arise due to the interplay between the latter. Our model shows that an extra term, causing a shift of the Braggfrequency occurs in the equations. The analytical expressions are integrated numerically with the proper boundary conditions. Overall reflection and transmission properties of the device are displayed as a function of the intensity, the period of the grating, its length and several other device parameters.