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Multi-parameter extraction from SOI photonic integrated circuits using circuit simulation and evolutionary algorithms

机译:利用电路仿真和进化算法从sOI光子集成电路中提取多参数

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摘要

We propose a procedure to extract multiple parameters from the spectral characteristic of a single photonic integrated circuit. We applied the method on high order silicon Mach-Zehnder lattice filters:1 these filters are realized by cascading delay stages and directional couplers of different length. Because of their cascaded nature and steep roll-off properties, these devices can be used to accurately extract properties of the waveguides and the directional couplers. The spectral transmission is measured between the inputs and the outputs. This result is compared to a full CAPHE optical circuit simulation with parametric behavioral models for the waveguide and the directional couplers. An evolutionary fitting algorithm based on the covariance matrix adaptation method is used to match the circuit simulation with the measurement. This black box approach gives us fast and accurate parameter extraction with a reduced number of iteration steps. The quadratic error between measurement and simulation of each iteration is used as feedback for the evolutionary algorithm that adapts the test values for the following step. The objective of our analysis is an accurate, wavelength-dependent model for the waveguide group index and the directional couplers. The proposed method has been used for wafer scale parameter extraction. Our fast method makes it possible to extract the parameters in real time, and correlate the functional parameters of the waveguides with process statistics collected during fabrication. The obtained parameters are in substantial agreement with the results of the simulations used in the design, and can be used to further improve behavioral models that correlate the manufacturing process data with the optical performance.
机译:我们提出了一种从单个光子集成电路的光谱特征中提取多个参数的程序。我们将该方法应用于高阶硅Mach-Zehnder晶格滤波器:1这些滤波器是通过级联延迟级和不同长度的定向耦合器实现的。由于它们的级联特性和陡峭的滚降特性,这些设备可用于精确提取波导和定向耦合器的特性。在输入和输出之间测量光谱透射率。将该结果与具有用于波导和定向耦合器的参数行为模型的完整CAPHE光电路仿真进行比较。使用基于协方差矩阵自适应方法的进化拟合算法将电路仿真与测量结果进行匹配。这种黑匣子方法为我们提供了快速准确的参数提取方法,减少了迭代步骤。每次迭代的测量和仿真之间的二次误差用作进化算法的反馈,该进化算法将测试值用于后续步骤。我们的分析目标是为波导组折射率和定向耦合器建立一个准确的,依赖于波长的模型。所提出的方法已经用于晶片规模参数提取。我们的快速方法使实时提取参数成为可能,并将波导的功能参数与制造过程中收集的过程统计信息相关联。所获得的参数与设计中使用的仿真结果基本一致,并且可以用于进一步改善将制造过程数据与光学性能相关联的行为模型。

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