arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2209.06145physics.opticsquant-ph
收藏

非线性单轴晶体中矢量相位匹配条件的精确解

Exact solutions for vector phase matching conditions in nonlinear uniaxial crystals

Juan Lopez-Duran, Oscar Rosas-Ortiz

AI总结:

本文将矢量相位匹配方程转化为四阶多项式求解析解,给出非线性单轴晶体中高效下转换的光轴取向,并以BBO晶体I型和II型SPDC为例验证了理论与实验的一致性。

摘要:

矢量相位匹配的强超越方程被转化为一个可解析求解的四阶多项式方程。该方程的实根提供了在非线性单轴晶体中实现高效下转换所需的光轴取向。本文讨论了自发参量下转换(SPDC)过程中共线和非共线两种构型下纠缠光子对的产生,并区分了简并和非简并情形。作为实际示例,研究了β-硼酸钡(BBO)晶体中的I型和II型SPDC过程。预测结果与文献中已报道的实验测量结果高度吻合,并将其他作者的理论结果作为特例包含在内。本文还报道了一些似乎为BBO晶体所独有的性质,对这些性质的实验验证将有助于更好地表征此类晶体。

英文摘要:

The strongly transcendental equations of vector phase matching are transformed into a fourth order polynomial equation that admits analytical solution. The real roots of this equation provide the optical axis orientations that are useful for efficient down-conversion in nonlinear uniaxial crystals. The production of entangled photon pairs is discussed in both collinear and non-collinear configurations of the spontaneous parametric down conversion (SPDC) process. Degenerate and non-degenerate cases are also distinguished. As a practical example, SPDC processes of type-I and type-II are studied for beta-barium-borate (BBO) crystals. The predictions are in very good agreement with experimental measurements already reported in the literature, and include theoretical results of other authors as particular cases. Some properties that seem to be exclusive to BBO crystals are reported, the experimental verification of the latter would allow a better characterization of these crystals.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑