Ince-Gaussian模的参量上转换
Parametric upconversion of Ince-Gaussian modes
摘要：
Ince-Gaussian（IG）模是最近发现的一种结构高斯光束，它对应于椭圆坐标系下傍轴波动方程的本征函数。这种传播不变模式在各个领域都有重要意义，特别是它的非线性变换;然而，迄今为止很少有相关的研究。在这项工作中，我们首次报道了IG模式的参量上转换和相关的全场选择规则。我们表明，IG信号可以完美的上转换由flattop-beam泵，相比之下，显着的模式失真时，使用最常见的高斯泵。特别注意的是扭曲的根源，即，由高斯泵浦激发的和频产生引起的径向模退化。该原理验证在相关领域，如高维量子频率接口和上转换成像具有重要意义。
英文摘要：
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.
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