Abstract—

Concepts of formation and propagation of radiation with a fractal amplitude–phase profile are analyzed and systematized on a single methodological basis using main points of fractal physics. Motion of a plane wave through fractal phase and amplitude screens is considered. Characteristics of beams with a stochastic and a regular self-similar structure are discussed. A range of questions on direct formation of waves with a fractal amplitude and phase distribution in laser systems is examined. The analysis shows that scaling characteristics complement the space–time parameters traditionally used for describing light beams. In particular, mutually complementing are statistical and fractal data on propagation of beams in the turbulent atmosphere. To date, the mathematical and physical apparatus has been developed that allows self-similar and scaling properties of radiation to be adequately described. With this apparatus, it is possible to develop efficient methods for optical diagnostics of fractal structures using probing light beams. A high degree of stability of Fourier images of fractals is an important factor for increasing stability and noise immunity of optical information transmission channels based on fractal beams.

中文翻译：

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分形结构的光束，性质和应用：文献综述

摘要-

具有分形振幅相位分布的辐射的形成和传播的概念，使用分形物理学的要点，在单一方法论的基础上进行了分析和系统化。考虑平面波通过分形相位和幅度屏的运动。讨论了具有随机和规则自相似结构的梁的特性。研究了有关在激光系统中直接形成具有分形振幅和相位分布的波的一系列问题。分析表明，缩放特性补充了传统上用于描述光束的时空参数。特别是，相互补充的是关于光束在湍流大气中传播的统计数据和分形数据。迄今为止，已经开发了数学和物理装置，可以充分描述辐射的自相似和缩放特性。利用该设备，可以开发用于使用探测光束对分形结构进行光学诊断的有效方法。分形的傅立叶图像的高度稳定性是提高基于分形光束的光学信息传输通道的稳定性和抗噪性的重要因素。