In this Letter, the character of Euclidean matrix norm (EMN) of the intensity difference between phase-shifting interferograms, which changes in sinusoidal form with the phase shifts, is presented. Based on this character, an EMN phase shift extraction algorithm is proposed. Both the simulation calculation and experimental research show that the phase shifts with high precision can be determined with the proposed EMN algorithm easily. Importantly, the proposed EMN algorithm will supply a powerful tool for the rapid calibration of the phase shifts.
© 2013 Optical Society of America
Instrumentation, Measurement, and Metrology
Original Manuscript: January 28, 2013
Revised Manuscript: March 28, 2013
Manuscript Accepted: April 2, 2013
Published: April 26, 2013
Jian Deng, Hankun Wang, Desi Zhang, Liyun Zhong, Jinping Fan, and Xiaoxu Lu, "Phase shift extraction algorithm based on Euclidean matrix norm," Opt. Lett. 38, 1506-1508 (2013)