论文标题
INCE-GAUSSIAN模式的参数上调
Parametric upconversion of Ince-Gaussian modes
论文作者
论文摘要
Ince-Gaussian（IG）模式是最近发现的结构化高斯梁的类型，对应于椭圆坐标中近去型波方程的本征函数。这种传播不变的模式在各个领域，尤其是其非线性转换都具有重要意义。但是，迄今为止很少有相关研究。在这项工作中，我们首次报告了IG模式的参数上转换和关联的全场选择规则。我们证明，IG信号可以通过平坦梁泵完美地向上。相比之下，使用最常见的高斯泵时发生了明显的模式失真。特别关注失真的起源，即由高斯泵激发的总频率产生引起的径向模式变性。这种原则证明在相关领域具有重要意义，例如高维量子频率接口和上转换成像。
Ince-Gaussian (IG) mode, a recently discovered type of structured Gaussian beam, corresponds to eigenfunctions of the paraxial wave equation in elliptical coordinates. This propagation-invariant mode is of significance in various domains, and in particular, its nonlinear transformation; however, there have been few relevant studies to date. In this work, we report the parametric upconversion of IG modes and associated full-field selection rule for the first time. We demonstrate that IG signals can be perfectly upconverted by a flattop-beam pump; in contrast, significant mode distortion occurred when using the most common Gaussian pump. Particular attention was given to the origin of the distortion, i.e., radial-mode degeneration induced by the sum-frequency generation excited by Gaussian pump. This proof-of-principle demonstration has great significance in relevant areas, such as high-dimension quantum frequency interfacing and upconversion imaging.
