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Chinese Physics Letters

Bistable Behaviour of N Two-Level Atoms Interacting with the Field inside a High-Q Cavity Containing a Nonlinear Kerr-Like Medium

罗进明, 李家华, 谢小涛

Published Jan 1, 2006• 0 citations
OpenAlex

Abstract

拿在原子和洞模式之间联合进帐号的紧张依赖者，我们调查同类地由 N 组成的一个系统拓宽的二水平的原子在包含非线性的象 Kerr 一样媒介的一个单个模式的 Fabry-Perot 洞内与这域交往。Wederive 系统的不变的双稳态的行为，和在细节的进一步的分析双稳态的行为上的几个批评参数的影响。

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In this work a theoretical model treating the optical bistability in a two state dissipative atomic medium inside a Fabry-Perot cavity is presented.The model is based on a semiclassical point of view to explain the field-matter interaction.The atoms of the medium are described by the "quantum polarization equation of motion" while the field is described by the "classical Maxwell's field equations".Applying the boundary conditions to the fields inside the Fabry-Perot cavity, the occurrence of optical bistability is deduced between the incident field intensity and both the intracavity and transmitted field intensities.Also the effect of building standing and nonstanding waves inside the cavity on bistability is discussed.

Egyptian journal of solids•Dec 31, 2007•1 citation
拿在原子和洞模式之间联合进帐号的紧张依赖者，我们调查同类地由 N 组成的一个系统拓宽的二水平的原子在包含非线性的象 Kerr 一样媒介的一个单个模式的 Fabry-Perot 洞内与这域交往。Wederive 系统的不变的双稳态的行为，和在细节的进一步的分析双稳态的行为上的几个批评参数的影响。
串联的洞地光谱有在洞中等的象 Kerr 一样的三水平的原子交往 withsingle 模式地被调查。处于纯数字状态，协调状态和挤压的真空状态的起始的地的数字结果分别地是计算的。象 Kerr 一样媒介影响，这被发现光谱尽管当原子在上面的水平时，起始的地在真空，组织。在强壮的输入地的情况中，然后，棕土状态光谱与不同高度显示出二座山峰；并且重叠状态系列 hows 有二座附近的山峰的相等的距离的多山峰结构。光谱“中央频率”与增加平均光子数字变离开反响的频率。
Experiments were performed on a bistable system consisting of a low finesse cavity and sodium atoms as the nonlinear medium. The atoms were excited by a dye laser system tuned to the D lines. Both ring and Fabry-Perot configurations were employed, and steady-state as well as transient behaviour was investigated. Flat mirrors of approximately 93% reflectivity were used in all experiments. With sodium vapour as the medium, experiments were performed in steady state, and a marked difference was observed in the behaviour of the Fabry-Perot cavity as compared to the ring set-up. This discrepancy could be explained when the sodium transition was modelled as a three - level lambda -type system, where the Doppler width is of the same order of magnitude as the ground state splitting. In this case the atoms with a Doppler shift close to half the ground state splitting have a major influence on the macroscopic refractive index. Extensive computer simulations were performed using this three -level model, and good qualitative agreement between experiment and theory was obtained for both types of cavity. A vacuum system containing a multiple atomic beam apparatus was constructed in order to reduce the Doppler width. Both the ring and the Fabry-Perot configuration could be set up inside the vacuum chamber.. The steady-state experiments displayed bistability when the laser intensity, laser frequency or cavity frequency were cycled. At higher atomic densities the system showed instabilities and multiple switching.
In this work a theoretical model treating the optical bistability in a two state dissipative atomic medium inside a Fabry-Perot cavity is presented.The model is based on a semiclassical point of view to explain the field-matter interaction.The atoms of the medium are described by the "quantum polarization equation of motion" while the field is described by the "classical Maxwell's field equations".Applying the boundary conditions to the fields inside the Fabry-Perot cavity, the occurrence of optical bistability is deduced between the incident field intensity and both the intracavity and transmitted field intensities.Also the effect of building standing and nonstanding waves inside the cavity on bistability is discussed.