急诊室。一维光子晶体中的场--光频下的准简正模理论研究
The e.m. field nside the unidimensional Photonic Crystals - Study at optical frequencies applying "Quasi-Normal-Modes" theory
摘要：
本文利用准简正模理论研究了一维光子晶体中光频电磁场的行为。下面的论文是受QNM理论的启发，最近开发的均匀腔开放的一侧。强调任何一维光子带隙都是两侧开放的腔，这允许限制e. m。场，但这会导致辐射损失;随着时间的推移，最初存在于其中的电磁场只能向外传播。一般情况下，1D-PBG不是一个保守系统，并且e.m.场不能用厄米算符来描述：简而言之，放弃了场辐射的简正模的讨论。QNM方法使用格林函数和双正交空间作为分析工具。一维光子带隙是以一种更现实的方式研究的：一个有限的结构，沉浸在一个无限的空间。放弃能量守恒的系统正在考虑有重要的后果，无论是数字和概念：它从真正的自频率复杂的准自频率。此外，由于描述时空演化的算符不是厄米算符，模不再是正规模，而是准正规模：事实上，只有在适当的条件下，它们不仅提供正交基，而且它们的时空演化与厄米正规模相似。
英文摘要：
In this thesis, the behavior of the electromagnetic field is studied, at optical frequencies, in the one-dimensional photonic crystals, using the theory of "Quasi-Normal Modes (QNM). The following thesis is inspired by the QNM theory, recently developed for homogeneous cavity open just on one side. It is stressed that any 1D-PBG is an open cavity on both sides which allows the confinement of the e.m. field, but that causes radiation losses; the em field initially present within it, on the passing of time, can only propagate outwards. In general, the 1D-PBG is not a conservative system and the natural evolution of the e.m. field can not be described by a Hermitian operator: in short, a discussion in terms of normal modes of the field radiation is abandoned. The method of QNM uses, as tools of analysis, the Green's function and biorthogonal spaces. The 1D-PBG is studied in a more realistic way : a finite structure, immersed in an unlimited space. The renunciation of energy conservation for the system under consideration has important consequences, both numerical and conceptual: it goes from real autofrequencies to complex quasi-autofrequencies. Moreover, as the operator describing the evolution of space-time is not hermitian, the modes are no longer normal, but quasi-normal: in fact, only under appropriate conditions, they not only provide a basis orthogonal, but their space-time evolution is similar to that of the Hermitian normal modes.
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。
