  We construct nonlinear coherent states for the Susskind-Glogower operators by
the application of the displacement operator on the vacuum state. We also
construct nonlinear coherent states as eigenfunctions of a Hamiltonian
constructed with the Susskind-Glogower operators. We generalize the solution of
the eigen- function problem to an arbitrary |mi initial condition. To analyze
the obtained results, we plot the Husimi Q function, the photon number
probability distribution and the Mandel Q-parameter. For both cases, we find
that the constructed states exhibit interesting nonclassical features, such as
amplitude squeezing and quantum interferences due to a self-splitting into two
coherent-like states. Additionally, we show that non- linear coherent states
may be modeled by propagating light in semi-infinite arrays of optical fibers.
