Finite-difference time-domain algorithm for modeling Sagnac effect in rotating optical elements.
Finite-difference time-domain algorithm for modeling Sagnac effect in rotating optical elements.
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DOI：
10.1364/oe.16.005227
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发表时间：
2008-04
期刊：
影响因子：
3.8
通讯作者：
Chao Peng;Rui Hui;Xuefeng Luo;Zhengbin Li;A. Xu
中科院分区：
文献类型：
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作者：
Chao Peng;Rui Hui;Xuefeng Luo;Zhengbin Li;A. Xu
旋转光学元件中的电动力学由于其在超灵敏旋转传感中的潜在应用而引起了人们的广泛兴趣。而Sagnac效应在一些新颖的光子晶体结构中可能会导致许多不寻常的表现，因此研究Sagnac效应具有重要意义。提出了一种基于旋转坐标系下修正本构关系的时域有限差分法（FDTD）来模拟Sagnac效应。推导并讨论了时域有限差分法的时步表达式，计算了波导中Sagnac相移的沿着分布。对旋转FDTD模型中的数值色散、介质边界条件和完全匹配层（PML）吸收边界条件进行了讨论。理论分析和仿真结果表明，该数值算法能够有效地分析Sagnac效应，适用于各种材料性质和复杂几何结构的一般情况。该算法为研究旋转光学元件的特性，精确分析、设计和优化旋转敏感光学器件提供了一个有前途的系统工具。
Electrodynamics in rotating optical elements has attracted much interest due to its potential application to ultra-sensitive rotating sensing. And it is important to investigate the Sagnac effect in some novel photonic structures for it may lead to a variety of unusual manifestations. We propose a Finite-Difference Time-Domain (FDTD) method to model the Sagnac effect, which is based on the modified constitutive relation in rotating frame. The time-stepping expressions for the FDTD routine are derived and discussed, and the classical Sagnac phase shift along a waveguide is calculated. Further discussions about numerical dispersion, dielectric boundary condition and perfect matched layer (PML) absorbing boundary conditions in the rotating FDTD model are also presented respectively. The theoretical analysis and simulation results prove that the numerical algorithm can analyze the Sagnac effect effectively, and can be applied to general cases with various material properties and complex geometric structures. The proposed algorithm provides a promising systematic tool to study the properties of rotating optical elements, and to accurately analyze, design and optimize rotation sensitive optical devices.