Second- and higher-order resonant gratings with gain or loss-Part 1: Green's function analysis
Second- and higher-order resonant gratings with gain or loss-Part 1: Green's function analysis
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DOI：
10.1109/3.892562
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发表时间：
2000-12
影响因子：
2.5
通讯作者：
A. M. Shams-Zadeh-Amiri;Jin Hong;Xun Li;Wei-Ping Huang
中科院分区：
文献类型：
--
作者：
A. M. Shams-Zadeh-Amiri;Jin Hong;Xun Li;Wei-Ping Huang
我们描述了一个系统的方法，用于获得耦合系数，由于衍射级小于光栅的第二和更高的阶谐振复杂的光栅在多层结构中的顺序。该方法基于一种改进的绿色函数，其特点是采用了传递矩阵法，简化了多层结构中获得绿色函数的理论分析。更重要的是，它也表明，通过引入增益或损失的二阶和更高的阶谐振光栅，控制总耦合系数的范围变得比那些在一阶复杂的光栅或二阶折射率光栅更宽。同相光栅和反相光栅等概念在这种类型的光栅中得到推广。最后给出了二阶和三阶光栅复合耦合DFB激光器的设计准则。
We describe a systematic method for obtaining the coupling coefficients due to diffraction orders less than the grating order of second- and higher order resonant complex gratings in a multilayer structure. This method is based on an improved Green's function, and its distinguishing feature is its use of the transfer matrix method to simplify the theoretical analysis for obtaining the Green's function in multilayer structures. More importantly, it is also shown that by introducing gain or loss in second- and higher order resonant gratings, the range of controlling the total coupling coefficient becomes wider than those in first-order complex gratings or second order index gratings. Concepts like in-phase and anti-phase gratings are generalized in this type of grating. Finally, guidelines for designing complex-coupled DFB lasers with second- and third-order grating are also presented.