光与物质共聚焦光束横向调制动力学中的朗道阻尼
Landau Damping in the Transverse Modulational Dynamics of Co-Propagating Light and Matter Beams
摘要:
在无碰撞条件下,研究了单色电磁波与单能二能级原子束的光机耦合和横向稳定性。耦合动力学研究通过朗道稳定性分析的耦合气体动力学和傍轴波方程,包括电子非线性的影响。由此产生的色散关系捕获的动力学和饱和效应的相互作用,并表明,对于蓝色失谐的组合的非线性相互作用是不稳定的临界波数以下,减少到结果的Bespalov和Talanov在一个可以忽略的动力学非线性的限制。对于红失谐,我们发现,在饱和参数阈值存在,使系统无条件稳定。在可忽略饱和度的情况下,朗道阻尼的光机械形式使所有波数稳定在由动力学和折射光机械反馈的组合强度确定的临界波数以上。阻尼主要是由沿着塔尔博特地毯的主对角线行进的原子介导的。
英文摘要:
The optomechanical coupling and transverse stability of a co-propagating monochromatic electromagnetic wave and mono-energetic beam of two-level atoms is investigated in the collisionless regime. The coupled dynamics are studied through a Landau stability analysis of the coupled gas- kinetic and paraxial wave equations, including the effect of the electronic nonlinearity. The resulting dispersion relation captures the interaction of kinetic and saturation effects and shows that for blue detuning the combined nonlinear interaction is unstable below a critical wavenumber which reduces to the result of Bespalov and Talanov in the limit of a negligible kinetic nonlinearity. For red detuning we find that under a saturation parameter threshold exists whereby the system stabilizes unconditionally. With negligible saturation, an optomechanical form of Landau damping stabilizes all wavenumbers above a critical wavenumber determined by the combined strength of the kinetic and refractive optomechanical feedback. The damping is mediated primarily by atoms traveling along the primary diagonals of the Talbot carpet.
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