Direct sampling of the Susskind–Glogower phase distributions

Coarse-grained phase distributions are introduced that approximate to the Susskind–Glogower cosine and sine phase distributions. The integral relations between the phase distributions and the phase-parametrized fieldstrength distributions observable in balanced homodyning are derived and the integral kernels are analyzed. It is shown that the phase distributions can be directly sampled from the field-strength distributions which offers the possibility of measuring the Susskind–Glogower cosine and sine phase distributions with sufficiently well accuracy. Numerical simulations are performed to demonstrate the applicability of the method.