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Modal properties of a beam carrying OAM generated by a circular array of multiple ring-resonator emitters
Optics Letters ( IF 3.1 ) Pub Date : 2021-09-17
Huibin Zhou, Hao Song, Zhe Zhao, Runzhou Zhang, Haoqian Song, Kai Pang, Kaiheng Zou, Cong Liu, Xinzhou Su, Nanzhe Hu, Robert Bock, Brittany Lynn, Moshe Tur, and Alan E. Willner

We investigate the modal properties of a beam carrying orbital angular momentum (OAM) generated by a circular array (ring) of multiple micro-ring emitters (rings) analytically and via simulation. In such a “ring-of-rings” structure, $N$ emitters generate $N$ optical vortex beams with the same OAM-order ${{l}_0}$ at the same wavelength. The output beam is a coherent combination of the $N$ vortex beams located at different azimuthal positions, having the same radial displacement. We derive an analytical expression for the output optical field and calculate the OAM-order power spectrum of the generated beam. The analytical expression and simulation results show that (1) the OAM spectrum of the output beam composes equidistant OAM spectral components, symmetrically surrounding ${{l}_0}$ with a spacing equal to $N$; (2) the envelope of the OAM spectrum broadens with an increased radius of the circular array or the value of ${{l}_0}$; and (3) the OAM components of the generated beam could be tuned either by changing the value of ${{l}_0},$ corresponding to different spectrum envelopes, or by adding different linear phase delays to the micro-ring emitters, which does not affect the envelope of the OAM spectrum.

中文翻译:

由多个环形谐振器发射器的圆形阵列产生的携带 OAM 的光束的模态特性

我们通过分析和模拟研究了由多个微环发射器(环)的圆形阵列(环)产生的携带轨道角动量(OAM)的光束的模态特性。在这样的“环中”结构中,$N$发射器在相同波长下产生具有相同 OAM 阶${{l}_0}$ 的$N$光学涡旋光束。输出光束是$N$的相干组合位于不同方位角位置的涡旋光束具有相同的径向位移。我们推导出输出光场的解析表达式并计算生成光束的 OAM 阶功率谱。解析表达式和仿真结果表明:(1)输出光束的OAM光谱由等距的OAM光谱分量组成,对称围绕${{l}_0}$,间距等于$N$;(2) OAM频谱的包络随着圆形阵列半径的增加或${{l}_0}$的值而变宽;(3) 生成光束的 OAM 分量可以通过改变${{l}_0},$ 对应不同的频谱包络,或者通过给微环发射器增加不同的线性相位延迟,不影响OAM频谱的包络。
更新日期:2021-09-16
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