Spatiotemporally modulated polarization interference imaging spectrometer(TSMPIIS)is static, miniature, stable instrument for remote sensing polarization detecting, which can be used to obtain the spectral and the polarized information about the target. It has been approved that TSMPIIS can obtain the target information by circumrotating its polarizer. However this method destroys the structure of TSMPIIS and reduces the measurement accuracy. According to the detecting theory of TSMPIIS, in this paper, we derive the basic equations for TSMPIIS detecting by analyzing and calculating its Mueller matrix, and authenticate the feasibility and the veracity of TSMPIIS for polarization detecting in full field of view. This work is very helpful for TSMPIIS remote sensing detecting and the retrieval of Stokes parameters.