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arXiv 2004.03000physics.optics
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预测开放光腔时间动力学的脉冲响应函数的模态展开

Modal Expansion of the Impulse Response Function for Predicting the Time Dynamics of Open Optical Cavities

Rémi Colom, Brian Stout, Nicolas Bonod

摘要:

光与光学腔的相互作用是增强光与物质相互作用和塑造电磁场光谱特征的重要研究内容。重要的努力已经进行了发展模式理论的开放式光学腔依赖于扩展的领域的本征场的腔。在这里,我们展示了这样的扩展如何预测光学谐振腔的时间动态。本文考虑法布里-珀罗腔,在准简正模的基础上,导出了腔的内场和散射场的完整解析表达式以及复本征频率。在导出开放腔的脉冲响应函数之前,我们证明了这种展开式的收敛性和准确性。我们受益于这种模式的扩展和IRF证明,本征模式的开放腔的影响信号,只有在瞬态制度,而不是在永久制度。

英文摘要:

Light interaction with optical cavities is of fundamental interest to enhance the light-matter interaction and to shape the spectral features of the electromagnetic fields. Important efforts have been carried out to develop modal theories of open optical cavities relying on an expansion of the fields on the eigen-fields of the cavity. Here, we show how such an expansion predicts the temporal dynamics of optical resonators. We consider a Fabry-Perot cavity to derive the full analytical expressions of the internal and scattered field on the quasi-normal modes basis together with the complex eigen-frequencies. We evince the convergence and accuracy of this expansion before deriving the impulse response function (IRF) of the open cavity. We benefit from this modal expansion and IRF to demonstrate that the eigen-modes of the open cavity impact the signals only during the transient regimes and not in the permanent regime.

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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