ABSTRACT In the present paper, we elaborate analytical field expressions of diffracted Hermite-Cosh-Gaussian (HChG) beams through an Airy Transform Optical System (ATOS). It is demonstrated that the resulting beams consist of a superposition of modes whose amplitudes are expressed as Airy function and derivative Airy function multiply polynomials. It is shown through numerical calculations that the outgoing fields possess the Airy-like profile with a central peak less powerful than the outer lobes. Furthermore, a complex structure of oscillations is observed for the third-order HChG beam. The effects of the beam order, the decentred parameter the ATOS parameters on the generated fields are illustrated in detail with numerical examples. This investigation constitutes a generalization of the previous studies dealing with the conversion of the fundamental Gaussian and cosh-Gaussian beams by an ATOS.

中文翻译：

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Hermite-Cosh-Gaussian 光束通过艾里变换光学系统的衍射特性

摘要 在本文中，我们详细阐述了通过艾里变换光学系统 (ATOS) 衍射 Hermite-Cosh-Gaussian (HChG) 光束的解析场表达式。结果表明，产生的光束由模式的叠加组成，其幅度表示为艾里函数和导数艾里函数乘多项式。通过数值计算表明，出射场具有类似艾里的轮廓，其中心峰的强度低于外瓣。此外，观察到三阶 HChG 光束的振荡结构复杂。光束顺序、偏心参数、ATOS 参数对生成场的影响通过数值例子进行了详细说明。