Constructing Von Karman Random Media Model with Power Spectrum Method

2014 ◽  
Vol 536-537 ◽  
pp. 911-914
Author(s):  
Ning Yang ◽  
Xu Qian
Keyword(s):  
Power Spectrum ◽  
Frequency Domain ◽  
Random Media ◽  
Correlation Lengths ◽  
Spectrum Method ◽  
Inverse Fourier Transformation ◽  
Von Karman ◽  
Auto Correlation Function ◽  
Power Spectrum Method ◽  
Von Kármán

In this paper, Von Karman random media is constructed with power spectrum method. The random media with Von Karman autocorrelation cannot be constructed in time domain but in frequency domain. So power spectrum method is utilized to solve the problem. The spectrum of random function is generated in frequency domain with random field and auto-correlation function. With inverse Fourier transformation, the Von Karman random media model is constructed. With different correlation lengths, six group of Von Karman random media are constructed.

scholarly journals Evaluation of Images Containing Scatter-rays Using the Power Spectrum Method

1998 ◽  
Vol 54 (8) ◽  
pp. 961-969
Author(s):  
TETSUO KIDA ◽  
HIDEO OONISHI ◽  
SATORU MATSUO ◽  
KAZUO NOMA ◽  
MASAHIRO YOSHIMURA ◽  
...  
Keyword(s):  
Power Spectrum ◽  
Spectrum Method ◽  
Power Spectrum Method

Measurement of Trap Stiffness of Holographic Optical Tweezers with Power Spectrum Method

2013 ◽  
Vol 787 ◽  
pp. 423-426
Author(s):  
Kai Xu ◽  
Jing Li ◽  
Gang Du ◽  
Chun Li Zhu ◽  
Peng Fei Li ◽  
...  
Keyword(s):  
Brownian Motion ◽  
Power Spectrum ◽  
Optical Tweezers ◽  
Laser Power ◽  
Optical Trap ◽  
Bottom Surface ◽  
Sample Cell ◽  
Spectrum Method ◽  
Holographic Optical Tweezers ◽  
Power Spectrum Method

A microsphere trapped by optical tweezers moves according to the Brownian motion law, which can be described by the Langevin equation. Based on it, a quadrant photodiode (QD) is used to track the displacement of the microsphere with a diameter of 2.5um trapped by holographic optical tweezers, and power spectrum method is adopted to obtain radial trap stiffness. Experiments show that the trap stiffness increases with the increase of the laser power, and decreases as the distance between the optical trap and the inside bottom surface of the sample cell increases.

Atmospheric Phase Screen Simulation Using Zernike Polynomial

2012 ◽  
Vol 182-183 ◽  
pp. 1002-1006
Author(s):  
Wei Yan ◽  
Zhi Hua Chen ◽  
Tai Jiao Du ◽  
Jian Guo Wang
Keyword(s):  
Power Spectrum ◽  
Spatial Frequency ◽  
Structure Function ◽  
Atmospheric Turbulence ◽  
Phase Screen ◽  
Outer Scale ◽  
Spectrum Method ◽  
Theoretical Structure ◽  
Power Spectrum Method ◽  
Theoretical Results

An algorithm is described which simulates atmospheric phase screen (PS) distorted by von Karman atmospheric turbulence by using Zernike expansion of randomly weighted Karhunen-Loeve function. The statistics of the PS generated by using power spectrum method which is most commonly used for generating PS poorly match up with the theoretical structure function, especially at low spatial frequency, while the algorithm described in the this paper can compensate for this shortcoming. And the accuracy of the PS is verified by comparing with the theoretical results. Furthermore, comparing with the existed methods which also use the Zernike expansion to simulate PS, algorithm presented in this paper is more accurate because the effects of the finite outer scale L0.is included

Groove Resistance Simulation Analysis and Fault Detection of Aluminum Reduction Cell

2012 ◽  
Vol 535-537 ◽  
pp. 2044-2048
Author(s):  
Shu Ping Wang ◽  
Ya Jing Song
Keyword(s):  
Fault Detection ◽  
Power Spectrum ◽  
Frequency Domain ◽  
Simulation Analysis ◽  
Liquid Aluminum ◽  
Aluminum Reduction Cell ◽  
Aluminum Reduction ◽  
Reduction Cell ◽  
Power Spectrum Method ◽  
Reliable Basis

The power spectrum method of frequency domain is presented in this paper for analyzing the four states of aluminum reduction cell (that is the normal condition, the liquid aluminum fluctuation, the abnormally low polar distance or drop of an anode and the anodic long bud), the characteristics of frequency domain under circumstances of function and malfunction and pointing out that groove resistance simulation analysis provide reliable basis for fault detection of aluminum reduction cell.

Reconstructing the state space of chaotic BZ reaction system using power spectrum method

1998 ◽  
Vol 43 (17) ◽  
pp. 1447-1452
Author(s):  
Yongjun Li ◽  
Zunsheng Cai ◽  
Yanni Li ◽  
Dahai Song ◽  
Hao Song ◽  
...  
Keyword(s):  
Power Spectrum ◽  
State Space ◽  
Reaction System ◽  
The State ◽  
Bz Reaction ◽  
Spectrum Method ◽  
Power Spectrum Method

Power Spectrum Method Used for Comparing Film and Xeroradiography

1985 ◽  
Vol 14 (1) ◽  
pp. 25-30 ◽  
Author(s):  
I Kashima ◽  
B M Gratt ◽  
S C White
Keyword(s):  
Power Spectrum ◽  
Spectrum Method ◽  
Power Spectrum Method

Study on the Scattering Effect of Micro-Scale Inhomogeneity to the Elastic Wave

2013 ◽  
Vol 807-809 ◽  
pp. 2228-2231
Author(s):  
Ning Yang ◽  
Xu Qian
Keyword(s):  
Random Media ◽  
Random Medium ◽  
Wave Length ◽  
Seismic Record ◽  
Obvious Effect ◽  
Von Karman ◽  
Scale Inhomogeneity ◽  
Von Kármán ◽  
Dielectric Objects ◽  
The Impact

Some research on the wave propagation in random medium with Von Karman correlation has been developed in this paper. It focuses on the seismic record of circular disturbance in random medium with Von Karman autocorrelation function. Six different kinds of random medium become the background of the dielectric object. The study of the impact to the responds of the dielectric objects can be measured by applying the FDTD to random background medium model. The numerical results show that the random media make the most obvious effect when the scale of imhomogeneity is close to the wave length.

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