We consider the effects of radio-wave scattering by cool ionized clumps ($Tsim 10^4,$K) in circumgalactic media (CGM). The existence of such clumps are inferred from intervening quasar absorption systems, but have long been something of a theoretical mystery. We consider the implications for compact radio sources of the `fog-like two-phase model of the circumgalactic medium recently proposed by McCourt et al.(2018). In this model, the CGM consists of a diffuse coronal gas ($Tgtrsim 10^6,$K) in pressure equilibrium with numerous $lesssim 1,$pc scale cool clumps or `cloudlets formed by shattering in a cooling instability. The areal filling factor of the cloudlets is expected to exceed unity in $gtrsim 10^{11.5} M_odot$ haloes, and the ensuing radio-wave scattering is akin to that caused by turbulence in the Galactic warm ionized medium (WIM). If $30,$per-cent of cosmic baryons are in the CGM, we show that for a cool-gas volume fraction of $f_{rm v}sim 10^{-3}$, sources at $z_{rm s}sim 1$ suffer angular broadening by $sim 15,mu$as and temporal broadening by $sim 1,$ms at $lambda = 30,$cm, due to scattering by the clumps in intervening CGM. The former prediction will be difficult to test (the angular broadening will suppress Galactic scintillation only for $<10,mu$Jy compact synchrotron sources). However the latter prediction, of temporal broadening of localized fast radio bursts, can constrain the size and mass fraction of cool ionized gas clumps as function of halo mass and redshift, and thus provides a test of the model proposed by McCourt et al.(2018).
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