A theory of pulse transmission is presented in which the medium through which the pulse propagates is characterized by an inhomogeneous distribution that is either an atomic frequency comb (AFC) or a medium of randomly spaced frequency spikes (RSM). For an AFC, we obtain analytic expressions for the transmitted field amplitude, which is composed of the (partially) transmitted incident pulse, plus a train of equally spaced echoes. For RSM, we derive expressions for the average transmitted field amplitude and field intensity. In the limit that the spike width is much less than the spike separation, normally encountered with AFC, the overall atom-field dynamics is dominated by dispersion—absorption plays a negligible role. The importance of the average group time delay of the pulse is discussed.

中文翻译：

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通过原子频率梳和随机尖峰介质传输脉冲场：色散的突出作用

提出了一种脉冲传输理论，其中脉冲传播通过的介质的特征是不均匀分布，该分布是原子频率梳（AFC）或随机间隔的频率尖峰（RSM）的介质。对于AFC，我们获得了透射场幅度的解析表达式，它由（部分）透射的入射脉冲，加上一列等距的回波组成。对于RSM，我们推导了平均透射场振幅和场强的表达式。在尖峰宽度远小于通常在AFC中遇到的尖峰分离的极限下，整个原子场动力学主要由色散控制，吸收作用可忽略不计。讨论了脉冲的平均群时延的重要性。