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We derive a constraint on patchy screening of the cosmic microwave backgroundfrom inhomogeneous reionization, using off-diagonal TB and TT correlations inWMAP-7 temperature/polarization data. We interpret this as a constraint on therms optical-depth fluctuation \Delta\tau\ as a function of a coherencemultipole Lc. We relate these parameters to a comoving coherence scale, ofbubble size Rc, in a phenomenological model where reionization is instantaneousbut occurs on a crinkly surface, and also to the bubble size in a model of"Swiss cheese" reionization where bubbles of fixed size are spread over somerange of redshifts. The current WMAP data are still too weak, by several ordersof magnitude, to constrain reasonable models, but forthcoming Planck and futureEPIC data should begin to approach interesting regimes of parameter space. Wealso present constraints on the parameter space imposed by the recent resultsfrom the EDGES experiment.

Patchy Screening of the Cosmic Microwave Background by Inhomogeneous Reionization