scholarly journals Phase Statistics of Light/Photonic Wave Reflected from One-Dimensional Optical Disordered Media and Its Effects on Light Transport Properties

Photonics ◽  
2021 ◽  
Vol 8 (11) ◽  
pp. 485
Author(s):  
Prabhakar Pradhan
Keyword(s):  
White Noise ◽  
Transport Properties ◽  
Phase Distribution ◽  
Numerical Study ◽  
Gaussian White Noise ◽  
Random Phase ◽  
Light Transport ◽  
Disordered Media ◽  
Joint Probability Distribution ◽  
One Dimensional

Light wave reflection intensity from optical disordered media is associated with its phase, and the phase statistics influence the reflection statistics. A detailed numerical study is reported for the statistics of the reflection coefficient and its associated phase for plane electromagnetic waves reflected from one dimensional Gaussian white-noise optical disordered media, ranging from weak to strong disordered regimes. The full Fokker–Planck (FP) equation for the joint probability distribution in the space is simulated numerically for varying length and disorder strength of the sample; and the statistical optical transport properties are calculated. Results show the parameter regimes of the validation of the random phase approximations (RPA) or uniform phase distribution, within the Born approximation, as well as the contribution of the phase statistics to the different reflections, averaging from nonuniform phase distribution. This constitutes a complete solution for the reflection phase statistics and its effect on light transport properties in a 1D Gaussian white-noise disordered optical potential.

scholarly journals A note on inverse problem for strongly damped wave equation with Gaussian white noise

2018 ◽  
Vol 20 ◽  
pp. 02003
Author(s):  
Chu Duc Khanh ◽  
Nguyen Hoang Luc ◽  
Van Phan ◽  
Nguyen Huy Tuan
Keyword(s):  
White Noise ◽  
A Priori ◽  
Gaussian White Noise ◽  
True Solution ◽  
One Dimensional ◽  
Noise Data ◽  
Ill Posed ◽  
The One ◽  
First Time ◽  
Strongly Damped

In this paper, we study for the first time the inverse initial problem for the one-dimensional strongly damped wave with Gaussian white noise data. Under some a priori assumptions on the true solution, we propose the Fourier truncation method for stabilizing the ill-posed problem. Error estimates are given in both the L2– and Hp–norms.

Steady State Properties of One-Dimensional Non-uniform Granular Gases Subjected to Gaussian White Noise Driving

2007 ◽  
Vol 48 (4) ◽  
pp. 737-744
Author(s):  
Zhang Duan-Ming ◽  
Zhu Hong-Ying ◽  
Li Rui ◽  
Chen Zhi-Yuan ◽  
Zhang Ling
Keyword(s):  
Steady State ◽  
White Noise ◽  
Gaussian White Noise ◽  
Granular Gases ◽  
One Dimensional

Global Pressure of One-Dimensional Polydisperse Granular Gases Driven by Gaussian White Noise

2007 ◽  
Vol 48 (3) ◽  
pp. 481-486 ◽  
Author(s):  
Chen Zhi-Yuan ◽  
Zhang Duan-Ming ◽  
Yang Feng-Xia ◽  
Huang Ming-Tao ◽  
Li Rui ◽  
...  
Keyword(s):  
White Noise ◽  
Gaussian White Noise ◽  
Granular Gases ◽  
One Dimensional ◽  
Global Pressure

NUMERICAL STUDY OF THE DISTRIBUTION OF PHASE AS AN ELECTRON MOVES IN A ONE-DIMENSIONAL, CONTINUOUSLY AND RANDOMLY VARYING POTENTIAL

1992 ◽  
Vol 06 (09) ◽  
pp. 1517-1527 ◽  
Author(s):  
SUSIL KUMAR MANNA ◽  
ABHIJIT MOOKERJEE
Keyword(s):  
Boundary Conditions ◽  
Phase Distribution ◽  
Numerical Study ◽  
Asymptotic Region ◽  
One Dimensional

We study the phase distribution of the wavefunction of an electron as it moves through a one-dimensional, continuously and randomly varying potential. We note that in the mesoscopic region where the reflectance fluctuates and depends crucially on the boundary conditions, the phase distribution is always peaked and non-stationary. However, in the asymptotic region, which depends on the degree of disorder, for weak disorders, the phase distribution becomes uniform. However, for strong disorders, the phase distribution becomes stationary and peaked. This leads to phase pinning.

One-dimensional numerical study of compressible flow ejector

AIAA Journal ◽  
2002 ◽  
Vol 40 ◽  
pp. 1469-1472
Author(s):  
S. Han ◽  
J. Peddieson
Keyword(s):  
Compressible Flow ◽  
Numerical Study ◽  
One Dimensional

scholarly journals Anomalous Anderson localization behavior in gain-loss balanced non-Hermitian systems

Nanophotonics ◽  
2020 ◽  
Vol 10 (1) ◽  
pp. 443-452
Author(s):  
Tianshu Jiang ◽  
Anan Fang ◽  
Zhao-Qing Zhang ◽  
Che Ting Chan
Keyword(s):  
Wave Propagation ◽  
Electromagnetic Waves ◽  
Anderson Localization ◽  
Random Media ◽  
Normal Incidence ◽  
Disordered Media ◽  
One Dimensional ◽  
Gain Loss ◽  
The Waves ◽  
Localization Behavior

AbstractIt has been shown recently that the backscattering of wave propagation in one-dimensional disordered media can be entirely suppressed for normal incidence by adding sample-specific gain and loss components to the medium. Here, we study the Anderson localization behaviors of electromagnetic waves in such gain-loss balanced random non-Hermitian systems when the waves are obliquely incident on the random media. We also study the case of normal incidence when the sample-specific gain-loss profile is slightly altered so that the Anderson localization occurs. Our results show that the Anderson localization in the non-Hermitian system behaves differently from random Hermitian systems in which the backscattering is suppressed.

scholarly journals Stochastic P-bifurcation in a bistable Van der Pol oscillator with fractional time-delay feedback under Gaussian white noise excitation

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Yajie Li ◽  
Zhiqiang Wu ◽  
Guoqi Zhang ◽  
Feng Wang ◽  
Yuancen Wang
Keyword(s):  
Time Delay ◽  
White Noise ◽  
Gaussian White Noise ◽  
Singularity Theory ◽  
Van Der Pol Oscillator ◽  
Order System ◽  
Damping Force ◽  
Van Der Pol ◽  
Restoring Force ◽  
White Noise Excitation

Abstract The stochastic P-bifurcation behavior of a bistable Van der Pol system with fractional time-delay feedback under Gaussian white noise excitation is studied. Firstly, based on the minimal mean square error principle, the fractional derivative term is found to be equivalent to the linear combination of damping force and restoring force, and the original system is further simplified to an equivalent integer order system. Secondly, the stationary Probability Density Function (PDF) of system amplitude is obtained by stochastic averaging, and the critical parametric conditions for stochastic P-bifurcation of system amplitude are determined according to the singularity theory. Finally, the types of stationary PDF curves of system amplitude are qualitatively analyzed by choosing the corresponding parameters in each area divided by the transition set curves. The consistency between the analytical solutions and Monte Carlo simulation results verifies the theoretical analysis in this paper.

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