  The problem of photoemission from a quasi-1D material is studied. We identify
two issues that play a key role in the detection of gapless Tomonaga-Luttinger
liquid (TLL) phase. Firstly, we show how a disorder -- backward scattering as
well as forward scattering component, is able to significantly obscure the TLL
states, hence the initial state of ARPES. Secondly, we investigate the
photo-electron propagation towards a sample's surface. We focus on the
scattering path operator contribution to the final state of ARPES. We show
that, in the particular conditions set by the 1D states, one can derive exact
analytic solution for this intermediate stage of ARPES. The solution shows that
for particular energies of incoming photons the intensity of photo-current may
be substantially reduced. Finally, we put together the two aspects (the
disorder and the scattering path operator) to show the full, disruptive force
of any inhomogeneities on the ARPES amplitude.
