  The origin of the Fermi bubbles and the microwave haze is yet to be
determined. To disentangle different models requires detailed comparisons
between theoretical predictions and multi-wavelength observations. Our previous
simulations have demonstrated that the primary features of the Fermi bubbles
could be successfully reproduced by recent jet activity from the central active
galactic nucleus (AGN). In this work, we generate gamma-ray and microwave maps
and spectra based on the simulated properties of cosmic rays (CRs) and magnetic
fields in order to examine whether the observed bubble and haze emission could
be explained by leptons contained in the AGN jets. We also investigate the
model predictions of the polarization properties of the Fermi bubbles. We find
that: (1) The same population of leptons can simultaneously explain the bubble
and haze emission given that the magnetic fields within the bubbles are very
close to the exponentially distributed ambient field, which can be explained by
mixing in of the ambient field followed by turbulent field amplification; (2)
The centrally peaked microwave profile suggests CR replenishment, which is
consistent with the presence of a more recent second jet event; (3) The bubble
interior exhibits a high degree of polarization because of ordered radial
magnetic field lines stretched by elongated vortices behind the shocks;
highly-polarized signals could also be observed inside the draping layer; (4)
Enhancement of rotation measures could exist within the shock-compressed layer
because of increased gas density and more amplified and ordered magnetic
fields. We discuss the possibility that the deficient haze emission at b<-35
degrees is due to the suppression of magnetic fields, which is consistent with
the existence of lower-energy CRs causing the polarized emission at 2.3 GHz.
Possible AGN jet composition in the leptonic scenario is also discussed.
