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In this paper,the formula for the imaging intensity of the snapshot imaging polarimeter(SIP)using modified Savart polariscopes(MSP)is derived in detail by the ray-tracing analysis and fringe decomposition.SIP using MSP is shown to yield an improvement in the qualitative and quantitative carry frequency,signal-to-noise ratio and spatial resolution compared with SIP using conventional Savart polariscopes by the numerical simulation.This study provides a theoretical and practical guidance for study,design,modulation,experiment and engineering of SIP using MSP.