Abstract
This paper investigates statistical errors in determining peak positions of interference fringes with the least-squares algorithms when the phase-shifting step sizes are 2π/3, π/2, and 2π/5. Two types of random noises are considered, which are called intensity noise and position noise. With these large step sizes, the statistical errors obtained from simulated measurements are compared with the theoretical results published in Ref. [11]. The effects of the wavelength and the amplitude on the statistical errors are investigated. A discrepancy between the simulation results and the theoretical results has been observed, that is, when the step size was π/2, the statistical errors caused by position noise have shown strong peak-position dependence, which cannot be explained by Eq. (16) given in Ref. [11]. A new equation is given to account for the simulation results.
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