Abstract
We demonstrate a computational phase correction algorithm that is able to correct for phase and timing fluctuations of arbitrary dual comb spectra. By augmenting a Kalman filter with a global search and decoupling the interferogram estimation, we show that dual comb signals having a wide range of structures can be predicted and corrected. Furthermore, we derive an upper bound for the accuracy of any self-correction technique and show that the augmented filter is capable of reaching this bound when the phase and frequency noise are bandlimited. Finally, we show how expectation maximization can be used to learn the statistical parameters of a system without any free parameters. This approach is hands-off, robust, and accurate for a wide range of dual comb systems. Demonstration code is provided.
© 2019 Optical Society of America
Full Article | PDF ArticleCorrections
4 June 2019: A typographical correction was made to Fig. 2 and the abstract.
More Like This
Ziyun Kong, Chengying Bao, Oscar E. Sandoval, Bohao Liu, Cong Wang, Jose A. Jaramillo-Villegas, Minghao Qi, and Andrew M. Weiner
Opt. Lett. 44(6) 1460-1463 (2019)
Yitian Tong, Qian Zhou, Daming Han, Baiyu Li, Weilin Xie, Zhangweiyi Liu, Jie Qin, Xiaocheng Wang, Yi Dong, and Weisheng Hu
Opt. Lett. 41(16) 3787-3790 (2016)
Vicente Duran, Leo Djevarhidjian, and Hugues Guillet de Chatellus
Opt. Lett. 44(15) 3789-3792 (2019)