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arXiv 1503.04720physics.optics
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时变复光学势中的瞬时调制

Instantaneous modulations in time-varying complex optical potentials

Armen G. Hayrapetyan, S. P. Klevansky, Joerg B. Goette

摘要:

我们研究了空间均匀但非稳态介电常数对光的动力学和光谱特性的影响。我们选择的潜在的动机是在PT对称系统的兴趣作为量子力学的扩展。因为我们考虑的是均匀的非平稳介质,在平衡的增益和损耗的存在下,PT对称性简化为时间反演对称性。我们构建的麦克斯韦方程组的框架内的波的瞬时振幅和角频率,并证明了光放大和衰减的调制与定义明确的时域的增益和损耗,分别。此外,我们预测分裂的角频率调制的极值,并证明了相关的调制周期的收缩。我们的理论可以扩展到研究PT对称结构中物质和声波的类似时间依赖效应。

英文摘要:

We study the impact of a spatially homogeneous yet non-stationary dielectric permittivity on the dynamical and spectral properties of light. Our choice of potential is motivated by the interest in PT-symmetric systems as an extension of quantum mechanics. Because we consider a homogeneous and non-stationary medium, PT symmetry reduces to time-reversal symmetry in the presence of balanced gain and loss. We construct the instantaneous amplitude and angular frequency of waves within the framework of Maxwell's equations and demonstrate the modulation of light amplification and attenuation associated with the well-defined temporal domains of gain and loss, respectively. Moreover, we predict the splitting of extrema of the angular frequency modulation and demonstrate the associated shrinkage of the modulation period. Our theory can be extended for investigating similar time-dependent effects with matter and acoustic waves in PT-symmetric structures.

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