论文标题
两层离散波导的渐近研究，耦合弱
Asymptotical study of two-layered discrete waveguide with a weak coupling
论文作者
论文摘要
考虑了薄的两层波导。该波导的管理方程是矩阵klein-gordon方程〜2。可以通过使用傅立叶变换来获得该系统的形式解决方案。然后，在残基积分相对于时间频率方面的帮助下，双积分可以简化为单个积分。但是，由于它涉及分支和振荡功能，因此很难估计这样的积分。该积分是渐近研究的。提出了一个区域图技术来代表可能的渐近公式。区域图概括了远场和近场区域的概念。
A thin two-layered waveguide is considered. The governing equations for this waveguide is a matrix Klein--Gordon equation of dimension~2. A formal solution of this system in the form of a double integral can be obtained by using Fourier transformation. Then, the double integral can be reduced to a single integral with the help of residue integration with respect to the time frequency. However, such an integral can be difficult to estimate since it involves branching and oscillating functions. This integral is studied asymptotically. A zone diagram technique is proposed to represent the set of possible asymptotic formulae. The zone diagram generalizes the concept of far-field and near-field zones.
