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RING CAVITY OPTICAL BISTABLE SYSTEM WITH SINGLE OUTPUT DRIVEN BY A GAUSSIAN BEAM

Xiangsuo Fan, Shuang Tian

Published Jan 1, 1989• 0 citations
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Abstract

The single output ring cavity optical bistable systems driven by a Gaussian beam are studied.The steady state equation is obtained and the linearized stability is analysed under the purely absorptive and resonant conditions using mean field approximation. The results show that the steady state light intensity curves still exhibit a reverse S shape but the unstable range in the case of Gaussian beam drive is manifestly different from that of plane wave beam drive.

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The single output ring cavity optical bistable systems driven by a Gaussian beam are studied.The steady state equation is obtained and the linearized stability is analysed under the purely absorptive and resonant conditions using mean field approximation. The results show that the steady state light intensity curves still exhibit a reverse S shape but the unstable range in the case of Gaussian beam drive is manifestly different from that of plane wave beam drive.
The ring cavity optical bistable system with single output is presented and analyzed. The steady state equation in the purely absorptive and resonant condition is given. The steady state curves in the mean field limit all exhibit a reverse S shape, and the critical value of the bistable cooperative coefficient C is equal to 2. The central section of the reverse S-shaped steady state curve proves to be always unstable. Moreover, a part of the steady state curve on the right hand of the central section may also lose its stability.
The steady-state bistability and the evolution of the field envelope of a ring-cavity optical-bistable system including the effect of the transverse radiation field and the effect of an inhomogeneously broadened atomic medium are studied by means of the mean-field approximation and dressed-mode theory in this paper. Our study shows that the bistable region enlarges with an increase of the ratio r0{\mathit{r}}_{0}r0​/w0{\mathit{w}}_{0}w0​ (r0{\mathit{r}}_{0}r0​ is the radius of the cylindrical atomic sample and w0{\mathit{w}}_{0}w0​ the beam waist of the Gaussian beam), and decreases with increasing width of the inhomogeneously broadened line. The transverse-field effect has more impact on the magnitude of the bistable region than the inhomogeneous broadening under certain conditions. In the case of two unstable modes, the evolution of the field envelope before reaching the stable oscillation regime differs remarkably from that in the case of the plane-wave approximation with a homogeneously broadened atomic medium.
In this paper we analyze the steady-state and stability properties of bistable optical systems, lasers with an injected signal, and ordinary free-running lasers. The starting point of our study is a unified model of a ring cavity containing a finite-size cylindrical sample of homogeneously broadened two-level atoms, and capable of supporting a single field mode with a Gaussian transverse profile. After solving the equations of motion in the steady state, we carry out a linear stability analysis of the stationary solutions, identify the domains of unstable operation of each of the three systems, and compare in detail the results of this work with those of earlier plane-wave uniform-field calculations. In the case of the laser with an injected signal, we find a significant enhancement of the instability domain relative to the plane-wave limit. A similar conclusion holds for mixed absorptive and dispersive optical bistability, although the enhancement of the domain of instability is less pronounced. Unstable behavior is predicted to occur for experimentally accessible values of the bistability parameter, and to be favored by the absence of bistability and by the selection of atomic and cavity detunings having opposite signs. This configuration ensures that the instability will be responsible for the emergence of undamped output pulsations of the type that will make the bistable system behave as an optical clock.
In this paper, the general ring cavity model of passive and active optical systems is presented. In the mean field and the Gaussian one transverse mode approximations, the steady state and stability properties of the systems are analyzed for mixed absorptive and dispersive cases. It is found that when the transmissivity ratio M (equals T1/T2) varies, the bistable loop changes its size and even the systematic behavior varies from the bistability mode into the amplification mode, and the instability domain on the steady state curve varies obviously. The mode-pulling formula and bistable threshold with varying values of M are also discussed.