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X-ray polarization from the Imaging X-ray Polarimetry Explorer (IXPE)provides an important new probe of the geometry of the pulsar emission zone andof particle acceleration in the surrounding pulsar wind nebula (PWN). However,with IXPE's modest ~20-30" spatial resolution, separation of the pulsar signalfrom the nebula is a challenge. Conventional analysis defines an "off" phasewindow as pure nebular emission and subtracts its polarization to isolate thephase-varying pulsar ("on-off fitting"). We present a more sensitive schemethat uses external measurements of the nebula structure and pulsar light curveto isolate their contributions to the phase- and spatially-varying polarizationvia least-squares regression ("simultaneous fitting"). Tests with simulationdata show ~30% improvement in pulse phase polarization uncertainties, decreasedbackground systematics, and substantially improved nebular polarization maps.Applying "simultaneous fitting" to early IXPE Crab data extracts additionalphase bins with significant polarization. These bins show interestingdepartures from the well-known optical polarization sweeps, although additionalexposure will be needed for precise model confrontation.

Improved Measurements of the IXPE Crab Polarization