The general character of nonlinear coherent states (NCS) is considered. A m
ethod is introduced by which any pure state of the quantum harmonic oscilla
tor can be represented in a limiting sense as a NCS. The representation of
a Fock state as a NCS is discussed in detail. As a physical example we show
how to prepare a highly excited Fock state in an ion trap based on the con
cept of NCS.