scholarly journals Spectral Intensity Variation by the Correlation Function of Refractive Index Fluctuations of the Liquid Medium

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Nageshwar Singh
Keyword(s):  
Refractive Index ◽  
Correlation Function ◽  
Liquid Medium ◽  
Born Approximation ◽  
Random Media ◽  
Intensity Variation ◽  
Spectral Intensity ◽  
Far Field ◽  
Macroscopic Theory ◽  
Spatial Correlation Function

It is proposed that a macroscopic theory of propagation and scattering of light through random media can be functional for the dye liquid flowing media in the microscopic levels too, with modest approximations. Maxwell’s equation for a random refractive index medium is approximated and solved for the electric field. An analytical expression for the spectral intensity of the field scattered by the refractive index fluctuations inside a medium has been derived which was valid within the first Born approximation. Far field spectral intensity variation of the radiation propagating through the liquid medium is a consequence of variation in correlation function of the refractive index inhomogeneities. The strength of radiation scattered in a particular direction depends on the spatial correlation function of the refractive index fluctuations of the medium. An attempt is made to explain some of the experimentally observed spectral intensity variations, particularly dye emission propagation through liquid flowing medium, in the presence of thermal and flow field.

QUANTUM IMAGES

1996 ◽  
Vol 05 (04) ◽  
pp. 809-822 ◽  
Author(s):  
L.A. LUGIATO ◽  
S.M. BARNETT ◽  
A. GATTI ◽  
I. MARZOLI ◽  
G.L. OPPO ◽  
...  
Keyword(s):  
Correlation Function ◽  
Near Field ◽  
Far Field ◽  
The Novel ◽  
Spatial Correlation Function ◽  
Quantum Image ◽  
Optical Parametric ◽  
Spherical Mirrors ◽  
Novel Concept ◽  
Signal Field

We illustrate the spatial quantum features that emerge in a degenerate optical parametric oscillator below threshold, where the signal field is purely generated by quantum fluctuations. We analyze the behaviour of the spatial correlation function of a generic quadrature component of the signal field in both cases of a cavity with plane mirrors and a cavity with spherical mirrors. The correlation length diverges when the semiclassical threshold for signal field generation is approached. We focus on the novel concept of quantum image, which is analyzed both in the near field and in the far field.

scholarly journals Coupling effects among elementary polarization properties

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Wanrong Gao
Keyword(s):  
Correlation Function ◽  
Light Scattering ◽  
Spatial Correlation ◽  
Random Media ◽  
Random Medium ◽  
Polarized Light ◽  
Anisotropic Media ◽  
Coupling Effects ◽  
Spatial Correlation Function ◽  
Mueller Matrices

AbstractIn this work, we propose that there exist coupling effects among birefringence, dichroism and off-diagonal depolarization parameters of differential Mueller matrix of random anisotropic media. An anisotropic spatial correlation function of anisotropic random medium is proposed to explain this phenomenon. The consequences of these effects are then pointed out. The idea in this work is very helpful for accurate interpretation of the measured Mueller matrices of optically anisotropic depolarizing medium. In addition, the concept of the anisotropic spatial correlation function of anisotropic random medium will open a new door and will play a central role for analyzing polarized light scattering by anisotropic random media.

scholarly journals On the three-dimensional spatial correlations of curved dislocation systems

2021 ◽  
Vol 5 (1) ◽  
Author(s):  
Joseph Pierre Anderson ◽  
Anter El-Azab
Keyword(s):  
Correlation Function ◽  
Slip System ◽  
Correlation Functions ◽  
Mean Field ◽  
Coarse Graining ◽  
Dislocation Dynamics ◽  
Coarse Grained ◽  
Spatial Correlation Function ◽  
Line System ◽  
Dislocation Densities

AbstractCoarse-grained descriptions of dislocation motion in crystalline metals inherently represent a loss of information regarding dislocation-dislocation interactions. In the present work, we consider a coarse-graining framework capable of re-capturing these interactions by means of the dislocation-dislocation correlation functions. The framework depends on a convolution length to define slip-system-specific dislocation densities. Following a statistical definition of this coarse-graining process, we define a spatial correlation function which will allow the arrangement of the discrete line system at two points—and thus the strength of their interactions at short range—to be recaptured into a mean field description of dislocation dynamics. Through a statistical homogeneity argument, we present a method of evaluating this correlation function from discrete dislocation dynamics simulations. Finally, results of this evaluation are shown in the form of the correlation of dislocation densities on the same slip-system. These correlation functions are seen to depend weakly on plastic strain, and in turn, the dislocation density, but are seen to depend strongly on the convolution length. Implications of these correlation functions in regard to continuum dislocation dynamics as well as future directions of investigation are also discussed.

Analysis and Simulation of Radar Clutter Using Spherically Invariant Random Processe

2013 ◽  
Vol 765-767 ◽  
pp. 431-435
Author(s):  
Hong Sen Xie ◽  
Jin Bo Shi ◽  
Bao Kuan Luan ◽  
Hua Ming Tian ◽  
Peng Zhou
Keyword(s):  
Correlation Function ◽  
Probability Function ◽  
Temporal Correlation ◽  
Random Processes ◽  
Spatial Correlation Function ◽  
Radar Clutter ◽  
Gaussian Probability Distribution ◽  
Non Gaussian ◽  
Simulation And Validation ◽  
Temporal Correlation Function

Non-Gaussian probability distribution radar clutter not only is temporal correlated between different pulses, but also is spatial correlated between different range bins. In this paper, the method of simulation and validation of radar clutter is proposed using spherically invariant random processes (SIRP). The amplitude probability function and temporal correlation function of radar clutter can be controlled respectively, and the spatial correlation function can be also specified. The computer simulation of K-distribution and CHI-distribution radar clutter is used to validate the method, and is to validate the amplitude probability function, temporal-spatial 2D correlation function.

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