Results 21 to 30 of about 17,220,730 (291)
Nondiffracting Bessel surface plasmon polariton (SPP) beams, which have unique self-healing, non-divergence, and linear transmission properties, have charming applications in plasmonic devices and on-chip interconnection circuits.
Hu Hanmin+7 more
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Infinite determinantal measures and the ergodic decomposition of infinite Pickrell measures. III. The infinite Bessel process as the limit of the radial parts of finite-dimensional projections of infinite Pickrell measures [PDF]
In the third paper of the series we complete the proof of our main result: a description of the ergodic decomposition of infinite Pickrell measures. We first prove that the scaling limit of the determinantal measures corresponding to the radial parts of ...
A. Bufetov
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Laser Scribing of Graphene Oxide Using Bessel Beam for Humidity Sensing
Laser-scribed graphene oxide (GO) shows great promise for high-performance, cost-effective humidity sensors. However, when using the commonly employed Gaussian beam, the Rayleigh length is relatively short, leading to potential stability issues during ...
Ruo-Zhou Li, Jing Yan, Ke Qu, Ying Yu
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Dicing is a critical step in the manufacturing process for the application of sapphire. In this work, the dependence of sapphire dicing on crystal orientation using picosecond Bessel laser beam drilling combined with mechanical cleavage was studied.
Qiuling Wen+4 more
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Speckle patterns are formed by random interferences of mutually coherent beams. While speckles are often considered as unwanted noise in many areas, they also formed the foundation for the development of numerous speckle-based imaging, holography, and ...
Vijayakumar Anand
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A limit theorem for singular stochastic differential equations
We study the weak limits of solutions to SDEs \[ dX_{n}(t)=a_{n}\big(X_{n}(t)\big)\hspace{0.1667em}dt+dW(t),\] where the sequence $\{a_{n}\}$ converges in some sense to $(c_{-}\mathbb{1}_{x0})/x+\gamma \delta _{0}$.
Andrey Pilipenko, Yuriy Prykhodko
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Super-efficient drilling of metals with ultrafast non diffractive laser beams
A highly efficient drilling process is found in non-transparent metallic materials enabled by the use of non-diffractive ultrafast Bessel beams. Applied for deep drilling through a 200 μm-thick steel plate, the Bessel beam demonstrates twofold higher ...
Huu Dat Nguyen+7 more
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Explicit solutions to fractional diffusion equations via Generalized Gamma Convolution [PDF]
In this paper we deal with Mellin convolution of generalized Gamma densities which leads to integrals of modified Bessel functions of the second kind. Such convolutions allow us to explicitly write the solutions of the time-fractional diffusion equations
D'Ovidio, Mirko
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Gap Probabilities for the Generalized Bessel Process: A Riemann-Hilbert Approach [PDF]
We consider the gap probability for the Generalized Bessel process in the single-time and multi-time case, a determinantal process which arises as critical limiting kernel in the study of self-avoiding squared Bessel paths.
M. Girotti
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Bayesian Inference of a Non normal Multivariate Partial Linear Regression Model [PDF]
This research includes the Bayesian estimation of the parameters of the multivariate partial linear regression model when the random error follows the matrix-variate generalized modified Bessel distribution and found the statistical test of the model ...
Sarmad Abdulkhaleq Salih, Emad Aboudi
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