This thesis reveals the utility of pursuing a statistical physics
approach in the description of wave interactions in multimode
optical systems. To that end, the appropriate Hamiltonian models
are derived and their limits of applicability are discussed. The
versatility of the framework allows the characterization of ordered
and disordered lasers in open and closed cavities in a unified
scheme, from standard mode-locking to random lasers. With the use
of replica method and Monte Carlo simulations, the models are
categorized on the basis of universal properties, and nontrivial
predictions of experimental relevance are obtained. In particular,
the approach makes it possible to nonperturbatively treat the
interplay between disorder and nonlinearity and to envisage novel
and fascinating physical phenomena such as glassy random lasers,
providing a novel way to experimentally investigate replica
symmetry breaking.
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