In this paper I calculate the anisotropic flux of cascade radiation pr
oduced by an isotropic distribution of highly relativistic protons imm
ersed in the photon field of a spatially separated point source. Most
radiation is produced towards the source of the target photons. An ast
rophysical application of this result is X-ray irradiation of AGN accr
etion disks by highly dissipative nuclear jets. Low Mach number jets c
onvert a large fraction of their kinetic power into relativistic parti
cles via resonance with MHD turbulence. Consequently, these jets do no
t show up as radio jets on large scales. Protons can easily reach high
energies by stochastic acceleration in the turbulent jet plasma, wher
eas severe energy losses make it very difficult for the electrons to b
e accelerated at all. Proton acceleration saturates at the threshold e
nergy for photo-production of secondary particles in the radiation fie
ld of the inner accretion disk. The energetic secondaries initiate an
anisotropic electromagnetic cascade. The backward cascade flux is repr
ocessed by the underlying accretion disk. The small fraction of cascad
e gamma-rays emitted in the forward direction is consistent with gamma
-ray flux limits for Seyfert galaxies and with the spectrum of the dif
fuse cosmic photon flux at high energies.