  The axion dark matter echo technique, proposed in Ref. [1], aims to search
for axion dark matter by detecting the electromagnetic echo coming from
stimulated decay of ambient axion dark matter interacting with a
radio-microwave outgoing beam. In this work we consider deviations from the
standard halo model (SHM) in the form of fine grained streams that are present
in the solar system and use them as a target for the axion echo method, which
demonstrates to be very sensitive to particular local axion dark matter phase
space distributions. We show that the extremely small dispersion of the streams
works in favor of the echo method performance, improving its sensitivity in the
axion-photon coupling up to two orders of magnitude, with respect to the
isotropic SHM. We also discuss the possibility of targeting high density dark
matter hairs formed when fine grained streams focus by the inner Earth's
gravitational field.
