Springer Theses

Foreword by Prof. Dr. Claudio Conti.- Acknowledgements.- 1 Introduction.- 1.1 Light and Nonlinearity.- 1.2 Light and Disorder.- 1.3 Overview of this thesis.- Part I: Non-resonant systems.- 2 Nonlinear Schroedinger Equation.- 2.1 Introduction.- 2.2 Local Case.- 2.3 Nonlocal case.- 3 Weakly Disordered Nonlinear Schroedinger Equation.- 3.1 Introduction.- 3.2 The Model.- 3.3 Soliton Perturbation Theory in Nonlocal Media.- 3.4 Application to the Disordered Nonlocal NLS.- 3.5 Nonparaxial Corrections.- 4 Disordered Nonlinear Schroedinger Equation.- 4.1 Introduction.- 4.2 Anderson Localization.- 4.3 The Model.- 4.4 Highly Nonlocal Limit.- 4.5 Instability of Anderson States.- 4.6 Nonlocal Responses.- 4.7 Numerical Results.- 4.8 Beating of Anderson Localizations.- 5 Scale-Free Nonlinearity in Disordered Ferroelectrics.- 5.1 Diffusive Nonlinearity in Disordered Ferroelectrics.- 5.2 Scale-Free Solitons.- 5.3 Scale-Free Instability.- Part II: Resonant systems.- 6 The Maxwell-Bloch equations.- 6.1 Introduction.- 6.2 Generalities.- 6.3 The Numerical Approach.- 6.4 The Soliton Solution of the MB Equations.- 7 Disordered Maxwell-Bloch Equations.- 7.1 Introduction.- 7.2 Soliton Perturbation Theory in Resonant Media.- 7.3 Anderson Localization in Resonant Media.- 8 Glassy Behavior of Laser.- 8.1 Introduction.- 8.2 The Model.- 8.3 Averaged Free Energy.- 8.4 Complexity.- The Phase Diagram.- 9 The Granular Laser.- 9.1 Introduction.- 9.2 Introduction to Random Laser.- 9.3 Experimental Setup and Procedures.- 9.4 The Diffusive Random Laser.- 9.5 The Granular Random Laser.- 10 Conclusions.