Statistical multibeam interference evaluation based on gaussian series envelope representation

This paper studies several portmanteau test statistics with a nonparametric order transformation for distinguishing independent and identically distributed (i.i.d.) random processes from noisy chaotic time series. These portmanteau test statistics are asymptotically distributed as a chi-square random variable under the null hypothesis of i.i.d. Gaussian series. In this Letter, we show that the asymptotic distributions of these portmanteau test statistics on the transformed series are still chi-square under the null hypothesis. The simulations indicate that direct use of these portmanteau test statistics yields low power in identifying chaos. However, with the proposed order transformation, the simulations show that these test statistics are still effective for identifying noisy low dimensional chaos in some cases.

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Frozen Gaussian series representation of the imaginary time propagator theory and numerical tests

The Journal of Chemical Physics ◽

10.1063/1.3190328 ◽

2009 ◽

Vol 131 (4) ◽

pp. 044116 ◽

Cited By ~ 9

Author(s):

Dong H. Zhang ◽

Jiushu Shao ◽

Eli Pollak

Keyword(s):

Series Representation ◽

Imaginary Time ◽

Numerical Tests ◽

Gaussian Series ◽

Propagator Theory

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Bicontinuity analysis of multibeam interference three-dimensional periodic structures: volume fractions and interface areas

Applied Optics ◽

10.1364/ao.56.004948 ◽

2017 ◽

Vol 56 (17) ◽

pp. 4948

Author(s):

Shruthi K. Vadivel ◽

Matthieu C. R. Leibovici ◽

Thomas K. Gaylord

Keyword(s):

Periodic Structures ◽

Three Dimensional ◽

Volume Fractions ◽

Multibeam Interference

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Повышение эффективности полимерного нанокомпозита для формирования фотонных структур методом оптической записи

Журнал технической физики ◽

10.21883/os.2020.10.50023.167-20 ◽

2020 ◽

Vol 128 (10) ◽

pp. 1512

Author(s):

Ю.Э. Бурункова ◽

Д. Альхалил ◽

Д.С. Свяжина

Keyword(s):

Silicon Oxide ◽

Optical Recording ◽

Refractive Indices ◽

Photosensitive Polymer ◽

Recording Material ◽

Silicon Oxide Nanoparticles ◽

Multibeam Interference ◽

2D And 3D ◽

The Given

In this work, the conditions for optimizing an optical recording material based on photosensitive acrylate-urethane nanocomposites with silicon oxide nanoparticles, for efficient Bragg gratings recording by multibeam interference method is presented. It was shown that the choice of the most effective monomers and their concentrations in the nanocomposite which depends on their structure and polymerization rate, followed by determination of the optimal recording radiation intensity for the given composition, makes it possible to adjust the conditions for component diffusion and redistribution, and hence, the formation of regions with different refractive indices in the recording medium. These results can be useful for creating complex 2D and 3D photonic structures based on the targeted modification of photosensitive polymer nanocomposites with different properties (luminescent, nonlinear optical, etc.).

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