首页> 外文会议>Conference on Optical Design and Engineering; Sep 30-Oct 3, 2003; St.Etienne, France >One-dimensional transfer matrix formalism with localized losses for fast designing of quasiperiodic waveguide filters
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One-dimensional transfer matrix formalism with localized losses for fast designing of quasiperiodic waveguide filters

机译:具有局部损耗的一维传递矩阵形式,用于快速设计准周期波导滤波器

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We present a new, one-dimensional, transfer matrix formalism for describing the spectral properties of a quasi-periodic integrated waveguide filter (reflection R, transmission T, overall losses L = 1 - R - T), where losses (essentially due to the modal mismatch between adjacent sections) are modeled as localized, Dirac-like singularities of the (complex) dielectric permittivity. As far as losses appear periodic, the coupling constant between propagating and contra-propagating waves is complex: such a distribution leads to a specific spectral response for L, different from that provided by homogeneous absorption. Besides, the transfer matrix of a unit cell (made of two quarter-wave sections of high and low indices) can be expressed rigorously in the frame of usual coupled-wave equations, even for arbitrary high index contrast. As a result, any periodic section can be represented by one transfer matrix only, whatever the number of unit cells. This can dramatically reduce the computational time by comparison with more accurate simulation tools such as Film Mode Matching (FMM) method.
机译:我们提出了一种新的一维传递矩阵形式,用于描述准周期集成波导滤波器的光谱特性(反射R,透射T,总损耗L = 1-R-T),其中损耗(主要是由于相邻部分之间的模态不匹配被建模为(复杂)介电常数的局部,狄拉克样奇点。就损耗出现周期性而言,传播波和反向传播波之间的耦合常数很复杂:这种分布导致L的特定光谱响应,这不同于均匀吸收所提供的响应。此外,即使对于任意的高折射率对比度,也可以在通常的耦合波方程框架中严格表示单位晶格的传输矩阵(由高和低折射率的两个四分之一波部分组成)。结果,无论单位晶胞的数量如何,任何周期区间都只能由一个传输矩阵表示。与更精确的仿真工具(例如电影模式匹配(FMM)方法)相比,可以大大减少计算时间。

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