Stability conditions for two-photon optical bistability in a ring cavity

A stability analysis in the good-cavity and mean-field limits, of two-photon optical bistability arising when two beams at different frequencies interact with a nonlinear medium in a ring cavity, is presented. Another metastable state has been found to occur in the double-absorption case in certain circumstances, and the system may be described as exhibiting a form of tristability.     

The role of the interactive Kerr effect in two-photon optical multistability

We show that bistable behaviour in a two-photon resonant system within a cavity may be attributed to interactive mode-pulling via the two-photon optical Kerr effect and also to absorptive bleaching (atomic saturation). The interactive Kerr process may be regarded as giving rise to a new category of optical bistability. Moreover, a mechanism for the recently-predicted tristability can be found in terms of simultaneous competition between the interactive Kerr effect and bleaching.     

Lasers with two-photon saturable absorbers

We study the mean field properties of a solid-state monomode laser containing a saturable absorber which can undergo only two-photon transitions. Even when the cavity is tuned to the atomic line center there are two classes of stationary solutions, one of which is tuned to the microscopic frequency whereas the other one is always detuned. Furthermore optical bistability arises either between two tuned states or between a tuned and a detuned state.     

带注入信号的双光子激光器的双稳性质

以原子均匀展宽的单模环形双光子激光器为模型,用半经典方法讨论有注入信号的双光子激光器的双稳性质。论证在谐调情况下该系统会出现双稳态,并且对于“好腔”和“坏腔”极限,通过绝热消除描述了双稳性导致的输出光的瞬态行为和滞后循环。发现在低分支是单调地趋向稳态,而在高分支是振荡地趋向稳态;在输出场不连续变化之处出现临界慢化现象。     

Multiple Effective Two-photon Correlated-emission Optical Bistability with Injected Squeezed Vacuum

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Two-photon laser and optical-bistability sidemode instabilities

Two-photon laser oscillation and optical bistability have been observed and studied theoretically by various groups. The studies have not considered the buildup of sidemodes. We have extended the corresponding one-photon sidemode treatments to two-photon transitions for which no resonant intermediate levels exist. For the two-photon laser, we find a wide region of single-wavelength instability for a centrally tuned strong mode. For the corresponding two-photon absorptive optical bistability, we predict no single-wavelength instabilities. For strong-mode detuning, we find that appreciable regions of sidemode gain exist for both problems allowing multiwavelength instabilities to occur.     

Effects of two-photon optical bistability upon phase conjugation

We have investigated phase conjugation by degenerate four-wave mixing, in circumstances where optical bistability can occur by two-photon resonant interaction. The solutions of the probe equation coupled with the two-photon equation of state have been obtained and studied. The two-photon phase-conjugated reflectivity is shown to exhibit multistability as well as hysteresis.     

The mechanisms for optical bistability in a two-photon resonant system

The categories of optical bistability within a nondegenerate two-beam, two-photon resonant system are presented and discussed.     

受驱动光学系统多光子量子统计理论(Ⅰ)——Fokker-Planck方程和良腔情况

我们应用广义Wigner分布的Fokker-Planck方程的系统方法,研究了受驱动光学系统的多光子跃迁过程。得到多光子过程普遍的Fokker-Planck方程、态方程以及良腔情况下透射光谱公式。计算了n光子双稳态的透射光谱并与单光子情况进行比较。还证明了在良腔情况,对于多光子过程,原子-原子关联也可以忽略。 关键词：     

Transients in optical bistability

In this paper we report on both a theoretical model for the transients in optical bistability in a Fabry-Perot cavity and the corresponding experimental results. An analytical calculation permits to predict the shape of the transient curves and the order of magnitude of their time duration in the case of a slow sweep of the length of the cavity. The experiment, which uses the nonlinearity arising from a two-photon transition in rubidium, yields results in good agreement with the theoretical calculation.Work supported by the D.R.E.T.     

Controlling the optical bistability via interacting dark-state resonances

We analyze the behavior of optical bistability in a four-level mercury atomic system driven by a cavity and two external coherent fields by means of a unidirectional ring cavity. We find that without interacting dark resonances and for large intensity of coupling field, the optical bistability disappears. So, the double dark resonances could significantly establish the optical bistability. Moreover, we demonstrate that the double dark resonances can dramatically reduce the threshold of optical bistability.     

Analytic solutions for two-photon absorption in counterpropagating beams in the cubic approximation

Exact stationary-state solutions of the cubic (unsaturated) nonlinearity model of degenerate two-photon absorption by counterpropagating beams are found, and are used to describe power limiting and multiple optical bistability within a Fabry-Perot etalon.     

Double-beam two-photon optical bistability in a Fabry-Perot cavity with polar molecules

Optical bistability in a micrometre-sized Fabry-Perot cavity, filled with appropriate polar molecules, is analysed after two incident beams (with frequenciesgw ₁ andgw ₂) produce in the system a two-photon resonance at frequencygw ₁ +gw ₂. One-photon resonances at the frequenciesgw ₁ andgw ₂ are discarded. It was not necessary to assume a particular relationship betweengw ₁ andgw ₂, and the single-beam two-photon optical bistability whengw ₁ andgw ₂ are of the same order or equal is emphasized.     

双光子光学多稳态理论

本文系统地研究了双光子共振作用的光学多稳态理论。在平均场近似下求出的状态方程包含了动态斯塔克效应及弛豫时间参数。指出了在平均场近似下,F-P腔与单向环形腔的状态方程有基本相同的形式。分析了双光子光学多稳态的两种物理机构——克尔效应与饱和吸收效应。在一定条件下这两种效应的共同作用可导致双稳态、双双稳态及三稳态。进一步还给出了区分双稳态、双双稳态及三稳态的判别式。最后还研究了双光子四波混频位相复共轭反射率的双稳态及多稳态。 关键词：     

Controllable optical bistability of Bose—Einstein condensate in an optical cavity with Kerr medium

We study the optical bistability for a Bose-Einstein condensate of atoms in a driven optical cavity with Kerr medium. We find that both the threshold point of optical bistability transition and the width of optical bistability hysteresis can be controlled by appropriately adjusting the Kerr interaction between the photons. In particular, we show that the optical bistability will disappear when the Kerr interaction exceeds a critical value.     

Controllable optical bistability of Bose-Einstein condensate in an optical cavity with a Kerr medium

We study the optical bistability for a Bose-Einstein condensate of atoms in a driven optical cavity with a Kerr medium. We find that both the threshold point of optical bistability transition and the width of optical bistability hysteresis can be controlled by appropriately adjusting the Kerr interaction between the photons. In particular, we show that the optical bistability will disappear when the Kerr interaction exceeds a critical value.     

Noticeable positive Doppler effect on optical bistability in an N-type active Raman gain atomic system

We theoretically investigate the Doppler effect on optical bistability in an N-type active Raman gain atomic system inside an optical ring cavity.It is shown that the Doppler effect can greatly enhance the dispersion and thus create the bistable behaviour or greatly increase the bistable region,which has been known as the positive Doppler effect on optical bistability.In addition,we find that a positive Doppler effect can change optical bistability from the hybrid dispersion-gain type to a dispersive type.     

Removal of single-atom optical bistability by quantum fluctuations

The dynamics of the quantum-statistical properties of the radiation of an atom in a cavity interacting with an external coherent field is investigated. A high level of quantum fluctuations of the field in the cavity is shown to destroy optical bistability in the multiatom case. Photon-number fluctuations and the spectral dispersion of the canonically conjugate quadratures of the field inside and outside a cavity are calculated. It is found that in contrast to the multiatom case quadrature squeezing and squeezing of the radiation intensity of a single atom are negligible inside and outside the cavity. Zh. éksp. Teor. Fiz. 115, 2001–2013 (June 1999)     

Optical bistability in CuCl

In CuCl, the optical properties of biexcitons imply an intensity dependence of the dielectric function. It is calculated within a density matrix formalism. The dielectric function is then used to discuss qualitatively experimental results for CuCl placed in a Fabry-Perot cavity. It turns out that the dispersive optical bistability is strongly limited by two-photon absorption.     

Tristability and oscillating instabilities in a dispersive two-beam system

A stability analysis of the dynamical equations describing the behaviour of an optical cavity wherein a two-photon absorber is driven by two distinct coherent fields reveals that bistability and tristability can occur by the dispersive mechanism. Furthermore, portions of the unsaturated branches can exhibit oscillating instabilities.