A simple estimation method of the relative phase shift for generalized phase-shifting digital holography based on a statistical method is proposed. This method consists of a selection procedure of an optimum cost function and a simple root-finding procedure. The value and sign of the relative phase shift are determined using the coefficient and the solution of the optimum cost function. The complex field of an object wave is obtained using the estimated relative phase shift. The proposed method lifts the typical restriction on the range of the phase shift due to the phase ambiguity problem. Computer simulations and optical experiments are performed to verify the proposed method.
© 2013 Optical Society of America
Original Manuscript: January 14, 2013
Manuscript Accepted: February 4, 2013
Published: March 15, 2013
Nobukazu Yoshikawa, "Phase determination method in statistical generalized phase-shifting digital holography," Appl. Opt. 52, 1947-1953 (2013)