Modelling of two wave mixing experiments in sillenite crystals

Abstract A suite of programs for the numerical simulation of two wave mixing processes in sillenite crystals is presented. The interacting waves are assumed to possess arbitrary amplitude and/or phase profiles in two spatial dimensions as well as arbitrary polarization states. Several documented program tests demonstrate the capabilities of the suite, including the handling of waves slowly modulated in time. Title of program: TWM Catalogue Id: ADDD_v1_0 Nature of problem An approach to dynamic holography with non plane waves in sillenite crystals based on geometric optics ideas is presented. The temporal development of the hologram is divided in "reading" (diffraction of the light at the fixed holographic grating) steps and "writing" (buildup of the refractive index grating under fixed illumination) steps and pursued towards the stationary state via a relaxation procedure. The reading equations are solved numerically using a twodimensional RUNGE-KUTTA scheme. Versions of this program held in the CPC repository in Mendeley Data ADDD_v1_0; TWM; 10.1016/0010-4655(96)00034-3 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)**摘要** 本文提供了一套用于铋硅石晶体（sillenite crystals）中两波混频过程数值模拟的程序套件。所涉及的相互作用光波在二维空间域中具备任意振幅和/或相位分布，同时可拥有任意偏振态。多项已记录的程序测试验证了该程序套件的功能，其中包括对时域缓慢调制光波的处理能力。 程序名称：TWM 目录编号：ADDD_v1_0 问题概述 本文提出了一种基于几何光学原理、面向铋硅石晶体中非平面波动态全息的研究方法。将全息图的时域演化过程划分为“读取”（固定全息光栅的光衍射）步骤与“写入”（固定照明条件下折射率光栅的构建）步骤，并通过松弛迭代法求解至稳态。读取过程的控制方程采用二维龙格-库塔（RUNGE-KUTTA）格式进行数值求解。 Mendeley数据中的CPC程序库存档版本： ADDD_v1_0; TWM; 10.1016/0010-4655(96)00034-3 本程序源自贝尔法斯特女王大学维护的CPC程序库（1969-2019）