  The effect of a non-unitary transformation on an initial Hermitian operator
is studied. The initial (Hermitian) optical system is a Glauber-Fock optical
lattice. The resulting non-Hermitian Hamiltonian models an anisotropic
(Glauber-Fock) waveguide array of the Hatano-Nelson-type. Several cases are
analyzed and exact analytical solutions for both the Hermitian and
non-Hermitian Schr\"odinger problems are given, as they are simply connected.
Indeed, such transformation can be regarded as a non-unitary Supersymmetric
(SUSY) transformation and the resulting non-Hermitian Hamiltonian can be
considered as representing an open system that interchanges energy with the
environment.
