Abstract—As a non-destructive and fast imaging technique, phase shifting digital holography (PSDH) has been widely applied in many optical imaging problems including measuring the surface morphology and cell refractive index. In this paper, it was found that PSDH is not stable w.r.t interference intensity in the noisy setting. Moreover, it was unveiled that PSDH is a linear problem w.r.t the intensity difference.

Based on this, for the first time we establish the numerical stability w.r.t the intensity difference. It should be noted that the used phase shiftings are nonuniform, which brings great flexibility for the phase-shifting. Numerical simulations are conducted to verify the stability result. For the traditional PSDH, the phase shifting must be calibrated and controlled with a high level ofaccuracy since the calibration error serves as the measurement error .Unlike this, PSDH from nonuniform phase-shiftings does not requiresuch a high level of calibration accuracy and provides great flexibility for the phase-shiftings. Incidentally, the nonuniform phase shiftings are commonly utilized in transmission electronimaging . To the best of our knowledge, the numerical stability remains unexplored in the literatureespecially for generalized PSDH from nonuniform phase shiftings. Finally, we check the stability result by numerical simulations. We verified that Phase-shifting digital holography has good stability.