Statistical Physics of Wave Interactions: A Unified Approach to Mode-Locking and Random Lasers

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Springer, Jul 20, 2016 - Science - 146 pages
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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Contents

1 Introduction
1
2 Multimode Laser Theory for Open Cavities
9
3 Analytic Solution of the NarrowBandwidth Model
39
4 Beyond Mean FieldMode Locked Lasers
93
5 Conclusions and Perspectives
124
Appendix AStability Analysis of the RS Solution
129
Appendix BStability Analysis of the 1RSB Solution
137
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