Maximization of the optical intra-cavity power of whispering-gallery mode resonators via coupling prism
Maximization of the optical intra-cavity power of whispering-gallery mode resonators via coupling prism
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DOI：
10.1364/oe.24.026503
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发表时间：
2016-11-14
期刊：
影响因子：
3.8
通讯作者：
Weber, H. B.
中科院分区：
文献类型：
--
作者：
Santamaria-Botello, G. A.;Garcia Munoz, L. E.;Weber, H. B.
本文详细描述了通过受抑全内反射（FTIR）经棱镜耦合到回音壁模（WGM）谐振腔的过程。该问题被建模为具有平面界面的三种介质，并给出了FTIR的封闭表达式。然后，考虑了谐振腔曲率的影响，从理论上研究了模式重叠现象。本文提出了一个新的解析表达式，给出了圆盘形或环形谐振腔的最佳几何形状，使腔内循环功率最大化。这种表达式考虑了WGM在谐振器表面处的空间分布，因此比当前使用的表达式更准确。它还考虑了棱镜的几何形状。它示出了与当前表达式一起使用的几何值的约30%的改进。在此基础上解释了在临界耦合下实验中能看到泵浦光信号的原因。然后，获得了在谐振腔内部激发最高可能光功率所需的条件。目的是通过谐振器材料的二阶非线性实现THz信号到光域的高效上转换。(C)2016美国光学学会
In this paper, a detailed description of the optical coupling into a Whispering Gallery Mode (WGM) resonator through a prism via frustrated total internal reflection (FTIR) is presented. The problem is modeled as three media with planar interfaces and closed expressions for FTIR are given. Then, the curvature of the resonator is taken into account and the mode overlap is theoretically studied. A new analytical expression giving the optimal geometry of a disc-shaped or ring-shaped resonator for maximizing the intra-cavity circulating power is presented. Such expression takes into consideration the spatial distribution of the WGM at the surface of the resonator, thus being more accurate than the currently used expressions. It also takes into account the geometry of the prism. It is shown an improvement in the geometry values used with the current expressions of about 30%. The reason why the pump laser signal can be seen in experiments under critical coupling is explained on this basis. Then, the conditions required for exciting the highest possible optical power inside the resonator are obtained. The aim is to achieve a highly-efficient up-conversion of a THz signal into the optical domain via the second-order nonlinearity of the resonator material. (C) 2016 Optical Society of America