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

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

doi:10.1103/physreva.106.063515

Cited by 5 publications

(5 citation statements)

References 33 publications

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“…These RSB findings are also consistent with the analysis of the correlation coefficient r (λ1, λ2) between intensity fluctuations of modes at distinct wavelengths in the same replicas at each pump energy and magnetic field intensity [53][54][55] in Supplementary Information V. We also probe the findings and analysis of RSB transition and correlation coefficient with numerical simulation results based on scattering theory in Supplementary Information VI.…”

Section: Observation Of Phe In Rlsupporting

confidence: 84%

Observation of the photonic Hall effect and photonic magnetoresistance in random lasers

Du,

Hu,

Xia

et al. 2024

Nat Commun

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Modulation of scattering in random lasers (RLs) by magnetic fields has attracted much attention due to its rich physical insights. We fabricate magnetic gain polymer optical fiber to generate RLs. From macroscopic experimental phenomena, with the increase of the magnetic field strength, the magnetic transverse photocurrent exists in disordered multiple scattering of RLs and the emission intensity of RLs decreases, which is the experimental observation of photonic Hall effect (PHE) and photonic magnetoresistance (PMR) in RLs. At the microscopic level, based on the field dependence theory of magnetic disorder in scattered nanoparticles and the replica symmetry breaking theory, the magnetic-induced transverse diffusion of photons reduces the scattering disorder, and then decreases the intensity fluctuation disorder of RLs. Our work establishes a connection between the above two effects and RLs, visualizes the influence of magnetic field on RL scattering at the microscopic level, which is crucial for the design of RLs.

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Section: Observation Of Phe In Rlsupporting

confidence: 84%

Observation of the photonic Hall effect and photonic magnetoresistance in random lasers

Du,

Hu,

Xia

et al. 2024

Nat Commun

Self Cite

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“…The Pearson coefficient is widely applied to analyze the linear correlation between two sets of data. 34 Then, considering the peak and stability of the spectral line intensity, the average Pearson coefficient r of 15 samples is shown in Fig. 3 to represent the correlations between the spectral line intensities (including Fe I 404.581 nm, Fe I 425.079 nm, C I 247.856 nm and Si I 288.858 nm) and image features.…”

Section: Resultsmentioning

confidence: 99%

Spectral stability improvement in laser-induced breakdown spectroscopy based on an image auxiliary data preprocessing method

Chen,

Zheng,

Wang

et al. 2024

J. Anal. At. Spectrom.

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“…The covariance analysis illucidates about the sensitivity of the parameters towards the observed elastic and electronic properties and about the inter-dependence of the parameters. Having obtained the data sets and the parameters, the correlation coefficient between the two quantities x and y, which may be from the set of parameters or observables, can be calculated within covariance analysis as [26][27][28],…”

Section: Statistical and Covariance Analysismentioning

confidence: 99%

Electronic and elastic correlations in AlB₂-type two-dimensional hexagonal MBenes

Sharma,

Rangra

2023

J. Phys.: Condens. Matter

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With the advent of MXenes as two-dimensional (2D) materials beyond graphene, non carbonic 2D materials analogically referred as MBenes have significantly attracted researchers’ attention. Such 2D MBenes remains largely unexplored. Here, we systematically investigate electronic and elastic properties of 2D transition metal (TM) based AlB2-type hexagonal MBenes consisting of a honeycomb networked graphene like boron layer embedded with diverse TM atoms at center. First we determine the thermodynamic, dynamic, thermal, and mechanical stability of MBenes, considering a wide range of 3d, 4d, and 5d TM elements. Electronic and elastic calculations are performed for stable MBenes in order to parameterize and investigate the interdependence of properties. Elastic calculations predicts the brittle-ductile nature and bond character of MBenes while unraveling the in-plane auxetic behavior. Our electronic calculations predict the metallic band nature for 2D VB2, NbB2, TaB2, and WB2 along with previously reported dirac points in 2D TiB2, FeB2, ZrB2, and HfB2. The elastic and electronic calculations clearly indicates the non-directional metallic bonds and intrinsically ductile nature of 2D-FeB2 distinct from other MBenes. Subsequently we performed a covariance analysis to assess the correlation amongst the observables of interest and further establish the interdependence of the properties. Our calculations for elastic correlations also suggests that mechanical brittle-ductile nature and auxetic behavior of MBenes can be tuned by strain engineering of the elastic constants. Our results further suggests that strong correlations between Poisson ratio and d state electrons can be utilized to tune the auxetic behavior by careful doping of the materials. Our work demonstrates the weak elastic-electronic correlations, suggesting that the strain engineering can be utilized for the tailored behavior of MBenes for practical applications. Thus, our systematic analysis of the mechano-elastic and electronic properties of 2D hexagonal MBenes and their correlations advance our understandings of emergent 2D family.

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

Cited by 5 publications

References 33 publications

Observation of the photonic Hall effect and photonic magnetoresistance in random lasers

Observation of the photonic Hall effect and photonic magnetoresistance in random lasers

Spectral stability improvement in laser-induced breakdown spectroscopy based on an image auxiliary data preprocessing method

Electronic and elastic correlations in AlB₂-type two-dimensional hexagonal MBenes

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

Cited by 5 publications

References 33 publications

Observation of the photonic Hall effect and photonic magnetoresistance in random lasers

Observation of the photonic Hall effect and photonic magnetoresistance in random lasers

Spectral stability improvement in laser-induced breakdown spectroscopy based on an image auxiliary data preprocessing method

Electronic and elastic correlations in AlB2-type two-dimensional hexagonal MBenes

Contact Info

Product

Resources

About

Electronic and elastic correlations in AlB₂-type two-dimensional hexagonal MBenes