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Arbitrary Energy‐Preserving Control of Optical Pulse Trains and Frequency Combs through Generalized Talbot Effects
Laser & Photonics Reviews ( IF 11.0 ) Pub Date : 2019-11-04 , DOI: 10.1002/lpor.201900176
Luis Romero Cortés 1 , Reza Maram 1, 2 , Hugues Guillet de Chatellus 1, 3, 4 , José Azaña 1
Affiliation  

Trains of optical pulses and optical‐frequency combs are periodic waveforms with deep implications for a wide range of scientific disciplines and technological applications. Recently, phase‐only signal‐processing techniques based upon the theory of Talbot self‐imaging have been demonstrated as simple and practical means for user‐defined periodicity control of optical pulse trains and combs. The resulting schemes implement a desired repetition period control without introducing any noise or distortion, while ideally preserving the entire energy content of the signal. Here, recent developments on phase‐only signal‐processing schemes for periodicity control based on temporal and spectral self‐imaging are reviewed. As a central contribution, a comprehensive theory of generalized Talbot self‐imaging, so called phase‐controlled Talbot effect, is presented, comprising all the different approaches proposed to date. In particular, a closed unified mathematical framework for the design of the spectral and temporal phase manipulations that enable full arbitrary control of the period of repetitive signals is developed. The reported numerical studies fully validate the presented theoretical framework and shed light on crucial aspects of the proposed methods, consistently with previously reported experimental results. Important considerations concerning the practical, real‐world implementation of the described schemes, according to the needed specifications for different applications, are also discussed.

中文翻译:

通过广义Talbot效应对光脉冲序列和频率梳进行任意节能控制

光脉冲和光频率梳的序列是周期性波形,对广泛的科学学科和技术应用具有深远的影响。最近,基于Talbot自成像理论的纯相位信号处理技术已被证明是用户定义的光脉冲序列和梳状周期控制的简单实用的手段。所得方案实现了理想的重复周期控制,而不会引入任何噪声或失真,同时理想地保留了信号的整个能量含量。在此,回顾了基于时间和频谱自成像的周期性控制专用相位信号处理方案的最新进展。作为一个重要的贡献,是广义Talbot自成像的全面理论,即所谓的相控Talbot效应,本文介绍了该方法,其中包括迄今为止提出的所有不同方法。特别地,开发了用于频谱和时间相位操纵的设计的闭合的统一数学框架,其能够完全重复地控制重复信号的周期。报道的数值研究完全验证了所提出的理论框架,并与先前报道的实验结果一致,阐明了所提出方法的关键方面。根据不同应用程序所需的规范,还讨论了有关所描述方案的实际,实际实施的重要考虑因素。建立了一个封闭的统一数学框架,用于设计频谱和时间相位操作,从而可以完全重复地控制重复信号的周期。报道的数值研究完全验证了所提出的理论框架,并与先前报道的实验结果一致,阐明了所提出方法的关键方面。根据不同应用程序所需的规范,还讨论了有关所描述方案的实际,实际实施的重要考虑因素。建立了一个封闭的统一数学框架,用于设计频谱和时间相位操作,从而可以完全重复地控制重复信号的周期。所报告的数值研究完全验证了所提出的理论框架,并阐明了所提出方法的关键方面,与先前所报告的实验结果一致。根据不同应用程序所需的规范,还讨论了有关所描述方案的实际,实际实施的重要考虑因素。
更新日期:2019-11-04
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