4.6 Article

Analytical solution for the Levy-like steady-state distribution of intensities in random lasers

期刊

PHYSICAL REVIEW A
卷 91, 期 4, 页码 -

出版社

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.91.043827

关键词

-

资金

  1. PRONEX Program (Brazilian agency)
  2. National Institute of Photonics-INFO (Brazilian agency)
  3. Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPq) (Brazilian agency)
  4. Fundacao de Amparoa Ciencia e Tecnologia do Estado de Pernambuco (FACEPE) (Brazilian agency)
  5. Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior (CAPES) (Brazilian agency)
  6. Financiadora de Estudos e Projetos (FINEP) (Brazilian agency)

向作者/读者索取更多资源

We derive analytically the Levy-like steady-state distribution with exponential tempering of emission intensities in random lasers. Our approach is based on the Langevin and associated Fokker-Planck equations describing the dynamics of the amplitudes of the resonance modes in a cavity with a disordered nonlinear dielectric medium. The reported results fully agree with the experimental characterization of the prelasing, Levy-like, and self-averaged Gaussian lasing regimes in a random laser system as a function of the pump energy and disorder strength, as well as with the recent suggestion of the Levy exponent a as a universal identifier of the random lasing threshold.

作者

我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。

评论

主要评分

4.6
评分不足

次要评分

新颖性
-
重要性
-
科学严谨性
-
评价这篇论文

推荐

Article Optics

Intensity distribution in random lasers: comparison between a stochastic differential model of interacting modes and random phase sum-based models

Ivan R. R. Gonzalez, Pablo I. R. Pincheira, Antonio M. S. Macedo, Leonardo de S. Menezes, Anderson S. L. Gomes, Ernesto P. Raposo

Summary: Random lasers are a special type of laser with stochastic intensity distribution, and different models are compared to describe this distribution. Stochastic differential models show excellent agreement with experimental data, indicating their capability to capture the influence of high-order nonlinearities on the intensity distribution of random lasers.

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS (2021)

Article Optics

Evaluation of Pearson correlation coefficient and Parisi parameter of replica symmetry breaking in a hybrid electronically addressable random fiber laser

Edwin Coronel, Avishek Das, Ivan R. R. Gonzalez, Anderson S. L. Gomes, Walter Margulis, J. P. von der Weid, Ernesto P. Raposo

Summary: The study examines the correlations between intensity fluctuations and RSB behavior of the HEAR laser, revealing the existence of replica symmetric ASE regime and RSB phase with random lasing emission at different thresholds. In the RSB phase, stochastic dynamics of lasing modes lead to competition for gain intertwined with correlation and anti-correlation.

OPTICS EXPRESS (2021)

Article Physics, Condensed Matter

Pseudogap Mott-phase in cuprate superconductors: a Hartree-Fock study with limited next-nearest-neighbor hopping

Y. Vielza, A. Cabo Montes de Oca, M. D. Coutinho-Filho, E. P. Raposo

Summary: In this study, the pseudogap phase of cuprate superconducting systems was investigated using a Hartree-Fock approach. The findings suggest that the presence of a pseudogap is caused by limiting electron dispersion along the nodal directions and a significant on-site Coulomb repulsion, consistent with experimental results.

EUROPEAN PHYSICAL JOURNAL B (2022)

Article Multidisciplinary Sciences

Simultaneous evaluation of intermittency effects, replica symmetry breaking and modes dynamics correlations in a Nd:YAG random laser

Edwin D. Coronel, Manoel L. da Silva-Neto, Andre L. Moura, Ivan R. R. Gonzalez, Roberta S. Pugina, Eloisa G. Hilario, Euzane G. da Rocha, Jose Mauricio A. Caiut, Anderson S. L. Gomes, Ernesto P. Raposo

Summary: The study demonstrates the intricate interplay of photonic intermittency turbulent-like effects, dynamics evolution of modes correlations, and onset of RSB behavior in random lasers (RLs), proposing modified Pearson correlation coefficients as sensitive indicators. The findings suggest potential common underlying mechanisms among these phenomena which could be further explored in unified theoretical models.

SCIENTIFIC REPORTS (2022)

Article Physics, Applied

THE 2021 PHYSICS NOBEL PRIZE AND THE UNDERSTANDING OF COMPLEX PHYSICAL SYSTEMS

Ernesto P. Raposo, Anderson S. L. Gomes, Cid B. de Araujo

Summary: This article introduces the winners of the 2021 Physics Nobel Prize and their groundbreaking contributions to our understanding of complex physical systems, and comments on the research group's work on the complex system properties of random lasers and random fiber lasers.

MOMENTO-REVISTA DE FISICA (2022)

Editorial Material Optics

Photonics bridges between turbulence and spin glass phenomena in the 2021 Nobel Prize in Physics

A. S. L. Gomes, C. B. de Araujo, A. M. S. Macedo, I. R. R. Gonzalez, L. de S. Menezes, P. I. R. Pincheira, R. Kashyap, G. L. Vasconcelos, E. P. Raposo

Summary: A recent study has established a photonic connection between turbulence and spin glasses using a random fiber laser as a platform, bridging the works of two 2021 Nobel laureates in Physics.

LIGHT-SCIENCE & APPLICATIONS (2022)

Article Physics, Multidisciplinary

What Does It Take to Solve the 3D Ising Model? Minimal Necessary Conditions for a Valid Solution

Gandhimohan M. Viswanathan, Marco Aurelio G. Portillo, Ernesto P. Raposo, Marcos G. E. da Luz

Summary: This paper discusses the exact solution of the Ising model on the simple cubic lattice and states the difficulty in finding an analytic expression for the partition function Z. Clear-cut criteria are presented for any claimed exact expression, and previous mistaken solutions are discussed.

ENTROPY (2022)

Article Physics, Multidisciplinary

Threshold-free estimation of entropy from a Pearson matrix

H. Felippe, A. Viol, D. B. De Araujo, M. G. E. Da Luz, F. Palhano-Fontes, H. Onias, E. P. Raposo, G. M. Viswanathan

Summary: There is a demand for a reliable method to estimate the entropy associated with correlations in diverse fields. Estimating a unique entropy directly from the Pearson correlation matrix has remained an open problem for over 50 years. Existing approaches lack generality as they require thresholding choices that remove possibly important information. In this study, we propose an objective procedure to estimate a unique entropy of a general Pearson matrix without the need for thresholding. We demonstrate the method by estimating the entropy from neuroimaging time series of the human brain under the influence of a psychedelic.
Article Multidisciplinary Sciences

Plasmodium sporozoite search strategy to locate hotspots of blood vessel invasion

Pauline Formaglio, Marina E. Wosniack, Raphael M. Tromer, Jaderson G. Polli, Yuri B. Matos, Hang Zhong, Ernesto P. Raposo, Marcos G. E. da Luz, Rogerio Amino

Summary: Plasmodium sporozoites actively migrate in the dermis and enter blood vessels to induce infection. Through intravital imaging, researchers found that sporozoites adopt a strategy of alternating global superdiffusive skin exploration and local subdiffusive blood vessel exploitation, enabling them to find intravasation hotspots associated with pericytes, enter the bloodstream and initiate malaria infection.

NATURE COMMUNICATIONS (2023)

Article Optics

Replica symmetry breaking in random lasers: A Monte Carlo study with mean-field interacting photonic random walkers

Guillermo Palacios, Andre C. A. Siqueira, Cid B. de Araujo, Anderson S. L. Gomes, Ernesto P. Raposo

Summary: In this study, the phenomenon of replica symmetry breaking (RSB) was investigated in random lasers (RLs) through Monte Carlo simulations. The study revealed that photonic random walkers diffuse and get randomly scattered in the active medium, interacting with both the population of excited atoms and each other. When the interactions among photonic walkers are not included, a replica-symmetric distribution for the Parisi overlap parameter (P(q)) at q = 0 is found for any excitation energy. The study also examined the statistical correlations of intensity fluctuations in different modes of the same spectrum, finding consistency with experimental results in RL materials.

PHYSICAL REVIEW A (2023)

Article Materials Science, Multidisciplinary

Unraveling the spin current flow in Bi layers

Kacio Mello, Jose E. Abrao, Eduardo S. Santos, Joaquim B. S. Mendes, Ernesto P. Raposo, Antonio Azevedo

Summary: The study found that Bismuth does not follow the expected rule of heavy metal materials to convert spin current to charge current efficiently. In addition, Bismuth exhibits an exotic spin relaxation mechanism and functions as a classifier.

PHYSICAL REVIEW B (2022)

Article Optics

Statistical analysis of intensity fluctuations in the second harmonic of a multimode Nd:YAG laser through a modified Pearson correlation coefficient

Edwin D. Coronel, Avishek Das, Manoel L. da Silva-Neto, Ivan R. R. Gonzalez, Anderson S. L. Gomes, Ernesto P. Raposo

Summary: In this study, the statistical properties of intensity fluctuations in a multimode Q-switched Nd:yttrium aluminum garnet laser were investigated using a modified Pearson correlation coefficient. It was found that above threshold, the system exhibits a photonic ferromagnetic-like spontaneous mode-locking phase with replica symmetry breaking. Different from photonic glassy phase in random lasers, a relevant fraction of modes oscillate coherently in this system, but the synchronous oscillation of some modes is frustrated with the replica symmetry breaking.

PHYSICAL REVIEW A (2022)

Article Physics, Fluids & Plasmas

Levy walkers inside spherical shells with absorbing boundaries: Towards settling the optimal Levy walk strategy for random searches

L. G. P. Carames, Y. B. Matos, F. Bartumeus, C. G. Bezerra, T. Macri, M. G. E. da Luz, E. P. Raposo, G. M. Viswanathan

Summary: Levy flight foraging hypothesis suggests that Levy walk search strategies optimize the search efficiency in foraging with unrestricted revisits. The study provides rigorous evidence supporting the optimality of inverse square Levy walks in such scenarios.

PHYSICAL REVIEW E (2022)

Article Physics, Fluids & Plasmas

Fock-space approach to stochastic susceptible-infected-recovered models

Danillo B. de Souza, Hugo A. Araujo, Gerson C. Duarte-Filho, Eamonn A. Gaffney, Fernando A. N. Santos, Ernesto P. Raposo

Summary: In this study, we investigated the infectious disease dynamics of the stochastic susceptible-infected-recovered (SIR) model using the Fock-space approach. The model, driven by a master equation, provides transition probabilities among the system's states and exact analytic expressions for the Hamiltonian eigenvalues. Our approach introduces a powerful set of tools for calculating central quantities of epidemic processes, especially for relatively small populations.

PHYSICAL REVIEW E (2022)

Article Optics

Intensity g(2) correlations in random fiber lasers: A random-matrix-theory approach

Ernesto P. Raposo, Ivan R. R. Gonzalez, Edwin D. Coronel, Antonio M. S. Macedo, Leonardo de S. Menezes, Raman Kashyap, Anderson S. L. Gomes, Robin Kaiser

Summary: The study proposes an approach based on random matrix theory to calculate the temporal second-order intensity correlation function of radiation emitted by random lasers, finding excellent agreement with experimental data and discussing the extension of the method to address the statistical properties of general disordered photonic systems.

PHYSICAL REVIEW A (2022)

暂无数据