Finite-difference time-domain algorithm for modeling Sagnac effect in rotating optical elements.
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.
State Key Laboratory on Advanced Optical Communication Systems & Networks, School of Electronics Engineering and Computer Science, Peking University, China.
Chao
C
Peng
Rui
R
Hui
Xuefeng
X
Luo
Zhengbin
Z
Li
Anshi
A
Xu
D000054:Acceleration; D000465:Algorithms; D003198:Computer Simulation; D017076:Computer-Aided Design; D004867:Equipment Design; D019544:Equipment Failure Analysis; D020342:Finite Element Analysis; D008962:Models, Theoretical; D055096:Optical Devices; D055095:Optics and Photonics / Q000295:instrumentation*; D012399:Rotation