Robust polarimetry via convex optimization

Abstract

We present mathematical methods, based on convex optimization, for correcting non-physical coherency matrices measured in polarimetry. We also develop the method for recovering the coherency matrices corresponding to the smallest and largest values of the degree of polarization given the experimental data and a specified tolerance. We use experimental non-physical results obtained with the standard polarimetry scheme and a commercial polarimeter to illustrate these methods. Our techniques are applied in post-processing, which complements other experimental methods for robust polarimetry.

Robust Free-Space Optical Communication Utilizing Polarization for the Advancement of Quantum Communication

“…Tomography measurements on the polarization matrix can be conducted using a polarimeter to obtain the Stokes parameters of our beam. However, we use an intensity detection scheme, illustrated in Figure 1, that only requires a QWP, linear polarizer, and photodetector to obtain polarization projection measurements [35,36]. Four intensity measurements are performed: I(0 • , 0 • ), I(0 • , 90 • ), I(0 • , 45 • ), and I(45 • , 45 • ).…”