  In this paper we return to a model with domain wall fermions in a waveguide.
This model contains a Yukawa coupling $y$ which is needed for gauge invariance.
A previous paper left the analysis for large values of this coupling
incomplete. We fill the gap by developing a systematic expansion suitable for
large $y$, and using this, we gain an analytic understanding of the phase
diagram and fermion spectrum. We find that in a sense all the species doublers
come back for large $y$. The conclusion that no lattice chiral gauge theory can
be obtained from this approach therefore remains valid.
