This study investigates the influence mechanisms of achromatic and non-achromatic properties on polarization detection errors in polarization imaging technology. Its primary objective is to quantitatively analyze how retarder thickness, retarder material, and Stokes vector parameters affect polarization imaging accuracy. Additionally, this study examines polarization detection errors stemming from retarder design and their influence on detection accuracy within polarization imaging systems based on Mueller matrix modulation. By varying parameters including the thickness and material of the retarder, as well as Stokes vector parameters, this study investigates the discrepancy between the Stokes vector in the non-achromatic scenario and that reconstructed using achromatic methods. Simulation results revealed that the error curves of S0 and S2, plotted against retarder thickness for both achromatic and non-achromatic scenarios, exhibit low sensitivity to thickness variations. Specifically, when the thickness changes, their error values remain nearly constant, showing an almost flat trend. In contrast, S1 and S3 errors are more sensitive to thickness fluctuations, with noticeable variations occurring at certain specific thicknesses. The peaks in these error curves arise because, at these critical thicknesses, the cosine of the phase delay for S1 approaches 0, while the sine of the phase delay for S3 approaches 0, both of which lead to larger errors. Based on these findings, it is concluded that within specific thickness ranges, non-achromatic retarders may serve as a viable alternative to achromatic ones under the experimental angle combinations examined.
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