A stochastic parabolic wave equation and field‐moment equations for random media having spatial variation of mean refractive index

1985 ◽  
Vol 77 (5) ◽  
pp. 1742-1753 ◽  
Author(s):  
R. J. Hill
Keyword(s):  
Refractive Index ◽  
Wave Equation ◽  
Spatial Variation ◽  
Random Media ◽  
Moment Equations

Thermal Radiation from a Microscopically Roughened Dielectric Surface

1972 ◽  
Vol 94 (1) ◽  
pp. 73-79 ◽  
Author(s):  
R. P. Caren ◽  
C. K. Liu
Keyword(s):  
Refractive Index ◽  
Surface Layer ◽  
Thermal Radiation ◽  
Spatial Variation ◽  
Riccati Equation ◽  
Radiant Energy ◽  
Dielectric Surface ◽  
Inhomogeneous Surface ◽  
Roughened Surface ◽  
Total Emittance

The emission of thermal radiation from a microscopically roughened dielectric surface is treated using a laminar-inhomogeneous layered model for a representation of the effective spatial variation in refractive index associated with a roughened surface layer. The Riccati equation is used to calculate the modification to the spectral angular transmittance of the surface due to the presence of this inhomogeneous surface layer. A consideration of the emission of radiant energy from the bulk dielectric through the surface layer permits the angular emittance to be determined. Total emittance values are obtained using the spectral angular emittance data.

The spatial variation of the refractive index in biological cells

1996 ◽  
Vol 41 (3) ◽  
pp. 369-382 ◽  
Author(s):  
J Beuthan ◽  
O Minet ◽  
J Helfmann ◽  
M Herrig ◽  
G Müller
Keyword(s):  
Refractive Index ◽  
Spatial Variation ◽  
Biological Cells

Spatial variation of refractive index in a pane of float glass

2003 ◽  
Vol 43 (2) ◽  
pp. 71-76 ◽  
Author(s):  
R.L. Bennett ◽  
N.D. Kim ◽  
J.M. Curran ◽  
S.A. Coulson ◽  
A.W.N. Newton
Keyword(s):  
Refractive Index ◽  
Spatial Variation ◽  
Float Glass

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.

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