缺陷系统共振态的有效提取
Efficient extraction of resonant states in systems with defects
摘要：
介绍一种新的计算晶体中局域缺陷引起共振的数值方法。该方法在缺陷区域求解积分方程，计算预解式的解析延拓。这种方法使人们能够表达的谐振方面的“谐振源”，一个功能，是严格本地化的缺陷区域。积分方程的核心，应用于这样的源项，是格林函数的完美晶体，我们表明，可以有效地计算出复杂的变形的布里渊区，命名为布里渊复杂变形（BCD），从而扩展到倒易空间的概念复杂的坐标变换。
英文摘要：
We introduce a new numerical method to compute resonances induced by localized defects in crystals. This method solves an integral equation in the defect region to compute analytic continuations of resolvents. Such an approach enables one to express the resonance in terms of a "resonance source", a function that is strictly localized within the defect region. The kernel of the integral equation, to be applied on such a source term, is the Green function of the perfect crystal, which we show can be computed efficiently by a complex deformation of the Brillouin zone, named Brillouin Complex Deformation (BCD), thereby extending to reciprocal space the concept of complex coordinate transformations.
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。
