Systematic Error Cancellation for the PIXIE Four-Port Interferometric Polarimeter

The Primordial Inflation Explorer (PIXIE) is an Explorer-class mission concept to measure the gravitational-wavesignature of primordial inflation through its distinctive imprint on the linear polarization of the cosmic microwavebackground. Its optical system couples a polarizing Fourier transform spectrometer to the sky to measure thedifferential signal between orthogonal linear polarization states from two co-pointed beams on the sky. Thedouble differential nature of the four-port measurement mitigates beam-related systematic errors common to thetwo-port systems used in most CMB measurements. We describe the polarized beam patterns for PIXIE andassess the systematic error for measurements of CMB polarization.