Prabhakar G, Gregg P, Rishoj L, Kristensen P, Ramachandran S
Opt Express. 2019 Apr 15;27(8):11547-11556. doi: 10.1364/OE.27.011547.
Nonlinear frequency generation of light-carrying orbital angular momentum (OAM), which facilitates realization of on-demand, frequency-diverse optical vortices, would have utility in fields such as super-resolution microscopy, space-division multiplexing and quantum hyper-entanglement. In bulk media, OAM beams primarily differ in spatial phase, so the nonlinear overlap integral for self-phase matched χ processes remains the same across the 4-fold degenerate subspace of beams (formed by different combinations of spin and orbital angular momentum) carrying the same OAM magnitude. This indistinguishable nature of nonlinear coupling implies that supercontinuum generation, which substantially relies on self/cross-phase modulation, and Raman soliton shifting of ultrashort pulses typically results in multimode outputs that do not conserve OAM. Here, using specially designed optical fibers that support OAM modes whose group velocity can be tailored, we demonstrate Raman solitons in OAM modes as well as the first supercontinuum spanning more than an octave (630 nm to 1430 nm), with the entire spectrum in the same polarization as well as OAM state. This is fundamentally possible because spin-orbit interactions in suitably designed fibers lead to large effective index and group velocity splitting of modes, and this helps tailoring nonlinear mode selectivity such that all nonlinearly generated frequencies reside in modes with high spatial mode purity.
携带轨道角动量(OAM)的光的非线性频率产生有助于实现按需的、频率多样的光学涡旋,在超分辨率显微镜、空间分割复用和量子超纠缠等领域具有应用价值。在块状介质中,OAM光束主要在空间相位上有所不同,因此对于自相位匹配的χ过程,非线性重叠积分在携带相同OAM大小的光束的四重简并子空间(由自旋和轨道角动量的不同组合形成)中保持不变。这种非线性耦合的不可区分性质意味着,超连续谱产生(其很大程度上依赖于自/交叉相位调制)以及超短脉冲的拉曼孤子频移通常会导致不守恒OAM的多模输出。在这里,我们使用专门设计的支持OAM模式的光纤,其群速度可以被调整,我们展示了OAM模式中的拉曼孤子以及第一个跨越超过一个倍频程(630纳米至1430纳米)的超连续谱,整个光谱处于相同的偏振以及OAM状态。这从根本上是可能的,因为在适当设计的光纤中的自旋 - 轨道相互作用导致模式的大有效折射率和群速度分裂,这有助于调整非线性模式选择性,使得所有非线性产生的频率都存在于具有高空间模式纯度的模式中。