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E-book

Title Lévy Statistics and Spin Glass Behavior in Random Lasers
Published Milton : Jenny Stanford Publishing, 2023

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Description 1 online resource (262 p.)
Contents 880-01 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
880-01/(S 3.6: Analytical Connection with the Photonic Spin-Glass Random-Laser Behavior -- 3.7: Conclusions -- Chapter 4: Lévy Fluctuations of Intensity in Random Lasers -- 4.1: Introduction -- 4.1.1: Experimental Measurements -- 4.1.2: Statistical Data -- 4.2: Lévy Fluctuations in Random Lasers -- 4.2.1: The α-Stable Distribution -- 4.2.2: α as a Threshold Identifier -- 4.3: Estimation of the Gaussian-Lévy Transition -- 4.3.1: Photon Transport Monte Carlo Simulations -- 4.3.2: The First Gaussian-Lévy Transition. -- 4.4: Exponentially Tempered Lévy Sums -- 4.4.1: Truncated Lévy Flights
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
Summary 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 statistics and extreme events, as well as complex systems, including turbulence, replica symmetry breaking (RSB) and Floquet states. Most of the theoretical grounds for these subjects date back to the 1970s. Of particular relevance for the timing for this book is the fact that two of the Nobel Prize winners of 2021 have their work connected through the experimental and theoretical work exploiting random lasers. In fact, the very first demonstration of RSB, a theory proposed by Giorgio Parisi, one of the 2021 Nobel winners, was first experimentally demonstrated in 2015 using random lasers. The scope of the book relies on the description of the already vast literature starting in 2006, but with an experimental explosion since 2015. The book describes the basis of random lasers and random fibers, theoretical background and connection between magnetism and photonics related to RSB, and theoretical backgrounds for experiments in Lvy statistics, turbulence, and Floquet states. The contributors are from three of the groups with most contributions in the field
Notes Description based upon print version of record
6.5: Evidence of RSB in Other Different RLs
Anderson S. L. Gomes is professor of physics at Universidade Federal de Pernambuco (UFPE), Brazil. He obtained his PhD in physics from Imperial College of Science, Technology and Medicine (1986) and completed his postdoc atBrown University (1992). His research interests are in nonlinear optics, nanophotonics and biophotonics. He has co-authored more than 300 scientific publications, is a Fellow of OPTICA, and is a member of the Brazilian Academy of Sciences and the Brazilian Order of Scientific Merit. André L. Moura received his BSc in physics (2006), master's (2009) and doctor of science (2013) from the Federal University of Alagoas, Brazil. Since 2009, he is professor at Federal University of Alagoas. His main research areas are nonlinear optics, spectroscopy of materials doped with trivalent rare-earth ions, and lasers and random lasers. Cid B. de Araújo is emeritus professor at UFPE. He received his doctorate in physics from the Pontifical Catholic University of Rio de Janeiro. He is a member of the Brazilian Academy of Sciences, World Academy of Sciences, and Brazilian Order of Scientific Merit and an OSA fellow. His research interests are in nonlinear optics and photonics. Ernesto P. Raposo is full professor in the Department of Physics, UFPE. He received his PhD in physics from UFPE (1996) and was a postdoc at Harvard University (1998). His research interests include statistics physics, random searches, and random lasers
Subject Lasers.
TECHNOLOGY / Optics
SCIENCE / Optics
Form Electronic book
Author Gomes, Anderson S. L.
Moura, André L
Araujo, Cid Bartolomeu de.
Raposo, Ernesto P.
ISBN 9781000778878
1000778878
9781003336181
1003336183
9781000778892
1000778894