In the terahertz imaging experiments, target is often embedded in a support plate (such as PTFE, etc.). Backgroundnoise will be caused by many factors, such as uneven material and non-smoothness of support plate. In this paper, theimpacts of noise on terahertz in-line digital holography single-exposure, support-domain constrained phase retrievalalgorithm and its reconstructed results are simulated. The support domain is determined by the combination of theOtsu algorithm and the opening and closing operation. Firstly, the influences of noise on 2.52 terahertz in-line digitalholographic reconstruction are studied when the transmittance of support plate is 0.93. The mean value of Gaussiannoise of the support plate is 0, and the standard deviation range is between 0 and 0.1, and the interval is 0.005. Meansquare error (MSE) and peak signal-to-noise ratio (PSNR) are used as the evaluation criteria. Finally, the Gaussiannoise with mean value of 0 and standard deviation of 0.04 is selected to simulate and analyze the effect of thereconstructed image with different transmittances. The results show that, when the transmittance of the support plateis 0.93 and the noise standard deviation is 0-0.04, the peak signal-to-noise ratio is less than 6% lower than of the idealsupport plate reconstruction.
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