  We have studied the localization of waves in a one-dimensional lattice
consisting of impurities where the spacing between consecutive impurities can
take certain values with given probabilities. In general, such a distribution
of impurities induces correlations in the disorder. In particular with a
power-law distribution of spacing, this system is used as a model for light
propagation in L\'{e}vy glasses. We introduce a method of calculating the
Lyapunov exponent which overcomes limitations in the previous studies and can
be easily extended to higher orders of perturbation theory. We obtain the
Lyapunov exponent up to fourth order of perturbation and discuss the range of
validity of perturbation theory, transparent states, and anomalous energies
which are characterized by divergences in different orders of the expansion. We
also carry out numerical simulations which are in agreement with our analytical
results.
