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Usually, the practical analysis states of an imaging polarimeter needs to be calibrated, with a set of standard polarization states, for the accurate reconstruction of Stokes parameters. However, it is really challenged to get the standard elements over wide field of view (FOV), broad waveband, large aperture, or other non-trivial conditions. Even if the system is well calibrated, the calibrated system will be disturbed in the vibration environment. To avoid the difficult from the standard polarization states, an iterative reconstruction method is presented at the first time to recover the polarization parameters from the data acquired by linear-Stokes polarimeters without polarimetric calibrations. Inspired from phase shifting interferometry, the method employs two least-squares iterative procedure and requires no any extra element for assistant. And we extend the method to a channeled linear imaging spectropolarimeter, channeled linear imaging spectropolarimeter can measure a two-dimensional distribution of spectrally-resolved linear Stokes parameters in a single-shot polarization modulation. However, the state-of-art reconstruction method, Fourier transform method (FTM), usually transforms the modulated spectrum into the frequency domain for further processing. As a result, there is channel crosstalk issue that limits available frequency bandwidth. In addition, FTM needs extra phase calibration to decode final spectra. We present a continuous slide iterative method (CSIM) in the spectral domain to avoid the use of the Fourier transform and phase calibration. It combines a sliding unit cell kernel in the spectral domain that provides unit cell tracking and a loop of twostep least-squares fit that estimates spatially-resolved polarized spectra.
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