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arXiv 2403.09360physics.optics
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介质光学谐振器的品质因子

Quality factor of dielectric optical resonators

Xavier Zambrana-Puyalto, Søren Raza

AI总结:

本研究解析证明高折射率无损介质球谐振器中磁、电Mie模式的$Q$因子分别按$n^{2j+1}$和$n^{2j+3}$缩放,数值验证其准确性,还确定了含吸收损耗时$Q$因子的通用函数形式并发现其可预测产生无限$Q$因子激光条件的多极光增益奇异值。

摘要:

我们通过解析证明,在高折射率($n \gg 1$)的无损介质球谐振器中,磁Mie模式和电Mie模式的品质($Q$)因子分别按$n^{2j+1}$和$n^{2j+3}$的规律缩放,其中$j$表示多极阶数。我们通过数值验证了这些结果,并表明当$n>5$时,我们的高$n$解析关系对偶极模式是准确的。对于更高的多极阶数,该解析关系在$n$逐渐降低时变得有效。我们研究了$Q$因子对吸收损耗的依赖性,并确定了一个通用函数形式,该形式描述了任意复折射率下所有Mie模式的$Q$因子。最后,我们观察到这种函数形式预测了一个与多极相关的光增益奇异值,该奇异值会产生具有无限$Q$因子的激光条件。

英文摘要:

We show analytically that the quality ($Q$) factor of magnetic and electric Mie modes in a lossless dielectric spherical resonator with high refractive index ($n \gg 1$) scales as $n^{2j+1}$ and $n^{2j+3}$ respectively, where $j$ denotes the multipolar order. We numerically validate these results and show that our high-$n$ analytical relation is accurate for the dipolar modes when $n>5$. For higher multipolar orders, the analytical relation becomes valid for increasingly lower $n$. We study the dependence of the $Q$ factor on absorption losses and determine a general functional form that describes the $Q$ factor for all Mie modes for any complex refractive index. Finally, we observe that this functional form predicts a multipolar-dependent singular value of optical gain which gives rise to a lasing condition with an infinite $Q$ factor.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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