Analysis of excitation laser intensity dependence of blinking SERRS of thiacarbocyanine adsorbed on single silver nanoaggregates by using a power law with an exponential function

2011 ◽  
Vol 47 (13) ◽  
pp. 3888 ◽  
Author(s):  
Yasutaka Kitahama ◽  
Yuhei Tanaka ◽  
Tamitake Itoh ◽  
Yukihiro Ozaki
Keyword(s):  
Exponential Function ◽  
Power Law ◽  
Laser Intensity ◽  
Intensity Dependence ◽  
Excitation Laser

Laser intensity dependence of high-order harmonic generation from alignedCO2molecules

2008 ◽  
Vol 78 (1) ◽  
Author(s):  
Peng Liu ◽  
Pengfei Yu ◽  
Zhinan Zeng ◽  
Hui Xiong ◽  
Xiaochun Ge ◽  
...  
Keyword(s):  
Harmonic Generation ◽  
Laser Intensity ◽  
High Order ◽  
High Order Harmonic Generation ◽  
Intensity Dependence ◽  
High Order Harmonic

Laser intensity dependence of mulitphoton excitation vs collisional relaxation in CF2HCl and CF2CFCl

1982 ◽  
Vol 76 (12) ◽  
pp. 5989-5994 ◽  
Author(s):  
John C. Stephenson ◽  
Joseph A. Blazy ◽  
Chang‐lin Li ◽  
David S. King
Keyword(s):  
Laser Intensity ◽  
Collisional Relaxation ◽  
Intensity Dependence

Mechanical buckling of cylindrical shells with varying material properties

2010 ◽  
Vol 224 (8) ◽  
pp. 1551-1557 ◽  
Author(s):  
P Khazaeinejad ◽  
M M Najafizadeh
Keyword(s):  
Exponential Function ◽  
Power Law ◽  
Material Properties ◽  
Volume Fraction ◽  
Cylindrical Shells ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Buckling Loads ◽  
Young’S Moduli ◽  
Wave Numbers

The analytical solutions of the first-order shear deformation theory are developed to study the buckling behaviour of functionally graded (FG) cylindrical shells under three types of mechanical loads. The Poisson's ratios of the FG cylindrical shells are assumed to be constant, while the Young's moduli vary continuously throughout the thickness direction according to the volume fraction of constituents given by power-law or exponential function. The stability equations are employed to obtain the closed-form solutions for critical buckling loads of each loading case. The dependence of the critical buckling loads on the variations of the material properties with a power-law or exponential function is studied. It is observed that these effects change appreciably the critical buckling loads. Results for critical loads are tabulated for thin and moderately thick shells. Although the critical buckling load of FG cylindrical shells decreases as the circumferential wave numbers increase, it rises for axially compressed long shells as the longitudinal wave numbers increase.

scholarly journals A new general fractional-order derivataive with Rabotnov fractional-exponential kernel applied to model the anomalous heat transfer

2019 ◽  
Vol 23 (3 Part A) ◽  
pp. 1677-1681 ◽  
Author(s):  
Xiao-Jun Yang ◽  
Mahmoud Abdel-Aty ◽  
Carlo Cattani
Keyword(s):  
Heat Transfer ◽  
Fractional Order ◽  
Exponential Function ◽  
Power Law ◽  
Transfer Model ◽  
Mathematical Tool ◽  
Fractional Exponential Function ◽  
Anomalous Heat Transfer ◽  
First Time ◽  
Anomalous Heat

In this paper, we consider a general fractional-order derivataive of the Liouville-Caputo type with the non-singular kernel of the Rabotnov fractional-exponential function for the first time. A new general fractional-order derivataive heat transfer model is discussed in detail. The general fractional-order derivataive formula is a new mathematical tool proposed to model the anomalous behaviors in complex and power-law phenomena.

scholarly journals Ultraintense Laser-Driven Nonthermal Acceleration of Charged Particles in the Near-QED Regime

2021 ◽  
Author(s):  
Yulong Hu ◽  
Baifei Shen ◽  
Jiancai Xu ◽  
Yasuhiro Kuramitsu ◽  
Hideaki Takabe ◽  
...  
Keyword(s):  
Energy Spectrum ◽  
Power Law ◽  
Laser Intensity ◽  
Critical Role ◽  
Charged Particles ◽  
Radiation Reaction ◽  
Intense Laser ◽  
Acceleration Process ◽  
Qed Regime ◽  
Power Law Index

Abstract Here, we have studied the nonthermal acceleration of energetic electrons/protons under the near-QED regime by extending the laser intensity beyond 1023 W/cm2 based on a two-dimensional particle-in-cell simulation. The radiation-reaction (RR) effect plays a critical role and brings a quantum stochastic effect to the charged-particle acceleration process. Background electrons in plasma are accelerated in an intense laser field to several GeVs with strong oscillations and thus radiate γ-ray photons. The emitting γ-photons have a broad energy spectrum with maximal energy up to 3 GeV and result in radiation-reaction trapping of the electrons, forming a relativistic plasma bunch in the plasma channel. The accumulation of electrons and protons produces a charge-separation field for the acceleration/deceleration of charged particles. The accelerated electrons have a nonthermal spectrum with a power-law index of 1.5 with a laser intensity 1023 W/cm2 lower than that in the non-QED regime. As the laser intensity further increases over 1024 W/cm2, the power-law index further drops to 1.2. Moreover, the energy spectrum of accelerated protons has a nonthermal distribution with a power-law index of 0.7, which is much lower than that of electrons in the near-QED regime.

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