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Lévy Statistics and Spin Glass Behavior in Random Lasers.

This book could not have been timelier. It describes a multidisciplinary experimental work reported in the literature from 2015 to 2022, supported by a theoretical proposal from 2006, exploiting random lasers and random fiber lasers as a photonic platform to perform statistical physics, as Lvy-like...

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Bibliographic Details
Corporate Author: Taylor & Francis
Other Authors: Gomes, Anderson S. L., Moura, André L., Araujo, Cid Bartolomeu de, Raposo, Ernesto P.
Format: eBook
Language:English
Published: Milton : Jenny Stanford Publishing, 2023.
Subjects:
Lasers.
lasers (optical instruments)
TECHNOLOGY / Optics
SCIENCE / Optics
Lasers
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Cover
  • Half Title
  • Title Page
  • Table of Contents
  • Foreword
  • Preface
  • Random Lasers and the Nobel Prize in Physics 2021
  • Chapter 1: Random Lasers, Lévy Statistics, Spin Glasses, Turbulence, and Floquet Phase: A Marriage between Photonics and Statistical/Complex Physics
  • 1.1: Introduction
  • 1.2: Random Lasers and Random Fiber Lasers
  • 1.3: Lévy Statistics
  • 1.4: Spin Glass
  • 1.5: Turbulence
  • 1.6: Floquet Spin-Glass Phase
  • 1.7: The Marriage between Photonics and Statistical/Complex Physics
  • Chapter 2: Feedback Mechanisms and Modes of Random Lasers
  • 2.1: Basic of Lasers and Random Lasers
  • 2.2: Intensity Feedback: Photon Diffusion
  • 2.3: Field Feedback: Interference Manifestations
  • 2.4: The Regimes of the Random Laser and Its Characteristic Lengths
  • 2.4.1: Scattering Mean Free Path, ls
  • 2.4.2: Transport Mean Free Path, lt
  • 2.4.3: Gain Length, lg and Amplification Length, lamp
  • 2.4.4: Distinction Between Feedback Regime by the Characteristic Length Parameters
  • 2.5: Modes in Random Lasers
  • 2.6: Are the Spikes Evidence of Resonant Feedback?
  • 2.7: Description of Spikes without Casting the Phase of the Optical Fields
  • 2.8: Speckle in Random Lasers
  • 2.9: Output Intensity Fluctuation of Random Lasers
  • 2.10: Conclusion
  • Chapter 3: Analytical Approaches to Lévy Statistics in Random Lasers: A Comparison with Numerical and Experimental Results, Extreme Events, and the Influence of High-Order Nonlinearities on the Intensity Fluctuations
  • 3.1: Introduction
  • 3.2: Lévy Statistics in Random Lasers: The Stochastic Trajectory Approach
  • 3.3: Lévy Statistics in Random Lasers: The Langevin Dynamics Approach
  • 3.4: Contribution of Higher-Order Nonlinearities
  • 3.5: Extreme-Value Analysis of Emitted Intensities
  • 4.4.2: Parameter Estimation for Lévy Sums
  • 4.5: Extreme Events in Random Lasers
  • 4.6: Conclusion
  • Chapter 5: Spin-Glass Behavior of Random Lasers: Theory
  • 5.1: Introduction
  • 5.2: Hamiltonian-Like Formulation of RL Systems
  • 5.3: Statistical Physics Approach to RL Systems
  • 5.4: Phase Diagram of Multimode Laser Systems
  • 5.5: Final Remarks and Conclusions
  • Chapter 6: Spin Glass Behavior of Random Lasers: Experiments
  • 6.1: Introduction
  • 6.2: Spin Glass and Replica Symmetry Breaking
  • 6.3: Random Lasers and Spectral Fluctuations
  • 6.4: First Experimental Prove of RSB in RLs