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The Wide-Area Linear Optical Polarimeter (WALOP)-South instrument is anupcoming wide-field and high-accuracy optical polarimeter to be used as asurvey instrument for carrying out the Polar-Areas Stellar Imaging inPolarization High Accuracy Experiment (PASIPHAE) program. Designed to operateas a one-shot four-channel and four-camera imaging polarimeter, it will have afield of view of $35\times 35$ arcminutes and will measure the Stokesparameters $I$, $q$, and $u$ in a single exposure in the SDSS-r broadbandfilter. The design goal for the instrument is to achieve an overallpolarimetric measurement accuracy of 0.1 % over the entire field of view. Wepresent here the complete polarimetric modeling of the instrument,characterizing the amount and sources of instrumental polarization. Toaccurately retrieve the real Stokes parameters of a source from the measuredvalues, we have developed a calibration method for the instrument. Using thiscalibration method and simulated data, we demonstrate how to correctinstrumental polarization and obtain 0.1 % accuracy in the degree ofpolarization, $p$. Additionally, we tested and validated the calibration methodby implementing it on a table-top WALOP-like test-bed polarimeter in thelaboratory.

WALOP-South: A Four-Camera One-Shot Imaging Polarimeter for PASIPHAE Survey. Paper II -- Polarimetric Modelling and Calibration