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arXiv 0906.0794physics.optics
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开口腔准简正模与自然模的连接

Linking the Quasi-Normal and Natural Modes of an open cavity

A. Settimi, S. Severini

摘要:

本文提出了消光定理和Sturm-Liouville理论方法之间的比较,计算e.m.光腔内部的场。我们讨论的第一次尽我们所知,在经典电动力学的框架,一个简单的联系之间的准正常模式(QNM)和自然模式(NM)的一维(1D),两侧,开放腔。计算了线性法布里-珀罗腔的QNM本征频率和本征函数。将一阶玻恩近似应用于同一腔,以比较腔的一阶玻恩近似和实际QNM本征函数。我们表明,一阶玻恩近似的FP腔引入对称性破缺:事实上,每个玻恩近似的QNM本征函数产生的值低于或高于实际QNM本征函数值的终端表面上相同的腔。因此,近似QNM的两个误差函数在接近腔的两个终端表面处不相等。

英文摘要:

The present paper proposes a comparison between the extinction theorem and the Sturm-Liouville theory approaches for calculating the e.m. field inside an optical cavity. We discuss for the first time to the best of our knowledge, in the framework of classical electrodynamics, a simple link between the Quasi Normal Modes (QNMs) and the Natural Modes (NMs) for one-dimensional (1D), two-sided, open cavities. The QNM eigenfrequencies and eigenfunctions are calculated for a linear Fabry-Perot (FP) cavity. The first-order Born approximation is applied to the same cavity in order to compare the first-order Born approximated and the actual QNM eigenfunctions of the cavity. We demonstrate that the first-order Born approximation for an FP cavity introduces symmetry breaking: in fact, each Born approximated QNM eigenfunction produces values below or above the actual QNM eigenfunction value on the terminal surfaces of the same cavity. Consequently, the two error-functions for an approximated QNM are not equal in proximity to the two terminal surfaces of the cavity.

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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