DISPERSIVE MODELS FOR THE FINITE-DIFFERENCE TIME-DOMAIN METHOD : DESIGN, ANALYSIS, AND IMPLEMENTATION
DISPERSIVE MODELS FOR THE FINITE-DIFFERENCE TIME-DOMAIN METHOD : DESIGN, ANALYSIS, AND IMPLEMENTATION
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DOI：
10.1364/josaa.11.001802
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发表时间：
1994-06
影响因子：
1.9
通讯作者：
C. Hulse;A. Knoesen
中科院分区：
文献类型：
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作者：
C. Hulse;A. Knoesen
数字信号处理技术用于设计、分析和实现时域有限差分（FDTD）仿真中的偏振色散离散模型。色散对飞秒光脉冲传输行为的极端重要性保证了这些方法的有效性。本文提出了设计连续时间色散电磁系统离散模拟量的输入不变法和频率近似法。我们的方法是统一现有的设计技术。每个色散设计的固有精度量化截断误差和频率响应的方法，并通过根轨迹技术的总FDTD系统的稳定性分析。实现的设计是通过在频域中的系统功能的代数操作，导致在规范，部分分数，或级联结构，最大限度地减少存储的变量的数量，并提供了效率和有限精度的灵敏度之间的权衡。
Digital signal processing techniques are used to design, analyze, and implement discrete models of polarization dispersion in finite-difference time-domain (FDTD) simulations. These methods are warranted by the extreme importance of dispersion to the propagation behavior of femtosecond-duration optical pulses. Input-invariant and frequency-approximation methods of designing discrete analogs of continuous-time dispersive electromagnetic systems are presented. Our methods are shown to unify existing design techniques. The inherent accuracy of each dispersive design is quantified by truncation error and frequency response methods, and stability analysis of the total FDTD system is found through root locus techniques. Implementation of the design is accomplished by algebraic manipulation of the system function in the frequency domain, resulting in canonical, partial fraction, or cascade structures that minimize the number of stored variables and provide a trade-off between efficiency and sensitivity to finite precision.