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arXiv 2104.12905physics.optics
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基于$χ^{(2)}$微谐振器的变频原理

Theory of $χ^{(2)}$-microresonator-based frequency conversion

Yun Zhao, Jae K. Jang, Yoshitomo Okawachi, Alexander L. Gaeta

摘要:

具有$χ^{(2)}$非线性的基于微谐振器的平台具有以小尺寸以高效率和超低功率执行频率转换的潜力。在基于腔的器件中实现高转换效率的标准原则需要“完美匹配”,即零相位失配,同时所有相关频率精确地处于腔谐振,这由于制造误差和有限的可调谐性而难以在集成平台中实现。在这封信中,我们表明,违反完美匹配并不一定会降低转换效率。相反,在许多情况下,应该有意地引入失配以提高转换的效率或可调谐性。我们确定了最大化基于腔的频率转换效率的通用条件,并显示了一种简单的方法来完全补偿寄生过程,如热折射和光折射效应,通常可以限制转换效率。我们还严格表明,这些高效率的状态是稳定的。

英文摘要:

Microresonator-based platforms with $χ^{(2)}$ nonlinearities have the potential to perform frequency conversion at high efficiencies and ultralow powers with small footprints. The standard doctrine for achieving high conversion efficiency in cavity-based devices requires "perfect matching", that is, zero phase mismatch while all relevant frequencies are precisely at a cavity resonance, which is difficult to achieve in integrated platforms due to fabrication errors and limited tunabilities. In this Letter, we show that the violation of perfect matching does not necessitate a reduction in conversion efficiency. On the contrary, in many cases, mismatches should be intentionally introduced to improve the efficiency or tunability of conversion. We identify the universal conditions for maximizing the efficiency of cavity-based frequency conversion and show a straightforward approach to fully compensate for parasitic processes such as thermorefractive and photorefractive effects that, typically, can limit the conversion efficiency. We also show rigorously that these high-efficiency states are stable.

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