Calculation of phase-matching conditions based on angle-dependent refractive index in biaxial crystals

Meizhi Zhang; Guangwen Huo

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Calculation of phase-matching conditions based on angle-dependent refractive index in biaxial crystals

机译：基于角度依赖的双轴晶体折射率计算相匹配条件

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摘要

We present a straightforward method for the calculation of phase-matching conditions based on the angle-dependent refractive index in biaxial crystals. Considering the refractive indices relying on angular orientation of wave vector and optical axis angle, we acquire the numerical curves of phase-matching angles. We then obtain the effective nonlinear coefficient for a spontaneous parametric down conversion (SPDC) process in BiB_3O_6 (BIBO) crystal, and ascertain the optimal phase-matching directions for types Ⅰ and Ⅱ. Moreover, we focus on the angular gradient of the pump and emission wave refractive indices near the exact phase-matching direction, and compare the SPDC with the double frequency process in the geometrical relations of the refractive index ellipsoids. This method is superior in ascertaining the space distribution of pump and emission waves, and it is convenient for deciding the parameters of phase matching without solving the quadratic Fresnel equations.

机译：我们提出了一种简单的方法，用于根据双轴晶体中与角度相关的折射率来计算相位匹配条件。考虑到折射率依赖于波矢量的角取向和光轴角，我们获得了相位匹配角的数值曲线。然后，我们获得了BiB_3O_6（BIBO）晶体中自发参数下变频（SPDC）过程的有效非线性系数，并确定了Ⅰ和Ⅱ型的最佳相位匹配方向。此外，我们着眼于泵浦的角度梯度和精确的相位匹配方向附近的发射波折射率，并在折射率椭球的几何关系中将SPDC与双频过程进行了比较。该方法在确定泵浦波和发射波的空间分布方面是优越的，并且在不求解二次菲涅尔方程的情况下方便确定相位匹配的参数。

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来源
《Optical engineering》 |2014年第8期|086105.1-086105.6|共6页
作者
Meizhi Zhang; Guangwen Huo;
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作者单位

Xi'an University of Posts and Telecommunications, School of Electronics Engineering, Xi'an 710121, China;

Chinese Academy of Science, National Time Service Center, Key Laboratory of Time and Frequency Primary Standards, Xi'an 710600, China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
phase matching; spontaneous parametric down conversion; birefringence;

机译：相位匹配;自发参数下转换;双折射;

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Calculation of phase-matching conditions based on angle-dependent refractive index in biaxial crystals

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