scholarly journals Derivation of an exact spectral density transport equation for a nonstationary scattering medium

1976 ◽  
Vol 17 (9) ◽  
pp. 1707 ◽  
Author(s):  
Ioannis M. Besieris
Keyword(s):  
Spectral Density ◽  
Transport Equation ◽  
Scattering Medium

scholarly journals Light waves scattering from an anisotropic semi-soft boundary medium with spectral dependence

2021 ◽  
Vol 51 (2) ◽  
Author(s):  
Zhiru Huang ◽  
Qihang Dai ◽  
Xiaoling Ji ◽  
Tao Wang
Keyword(s):  
Spectral Density ◽  
Scattered Field ◽  
Spectral Dependence ◽  
Scattering Medium ◽  
Center Wavelength ◽  
Maximum Value ◽  
Light Waves ◽  
Degree Of Coherence ◽  
Spectral Degree ◽  
Scattering Potential

The far-zone behavior of polychromatic light waves on scattering from an anisotrophic semi-soft boundary medium with spectral dependence was considered, and the spectral density and the spectral degree of coherence of the far-zone scattered field were investigated. It is shown that the distributions of the spectral density and the spectral degree of coherence of scattered field are closely related with the rms width, the center wavelength, and the maximum value of the center wavelength of the scattering potential of the scattering medium.

Effect of finite spectral width on the modulational instability of Alfvén waves

1992 ◽  
Vol 47 (3) ◽  
pp. 521-531 ◽  
Author(s):  
P. C. Roy ◽  
J. C. Bhakta
Keyword(s):  
Growth Rate ◽  
Dispersion Relation ◽  
Spectral Density ◽  
Transport Equation ◽  
Modulational Instability ◽  
Spectral Width ◽  
Alfven Waves ◽  
Alfvén Waves ◽  
Monochromatic Wave ◽  
Derivative Nonlinear Schrödinger Equation

The effect of finite spectral width on the modulational instability of Alfvén waves described by the derivative nonlinear Schrodinger equation is investigated using a method developed by Alber to derive a transport equation for the spectral density. The dispersion relation for a monochromatic wave is regained for a delta spectrum. It is shown that the growth rate and domain of modulational instability diminish as the spectral width increases for both the Gaussian and uniform spectrums.

scholarly journals Computation of the Spectral Density of Current Fluctuations in Bulk Silicon Based on the Solution of the Boltzmann Transport Equation

VLSI Design ◽  
1998 ◽  
Vol 6 (1-4) ◽  
pp. 185-189 ◽  
Author(s):  
Alfredo J. Piazza ◽  
Can E. Korman
Keyword(s):  
Spectral Density ◽  
Transport Equation ◽  
Transport Model ◽  
Boltzmann Transport Equation ◽  
Polynomial Method ◽  
Current Fluctuations ◽  
Boltzmann Transport ◽  
Bulk Silicon ◽  
Noise Characteristics ◽  
Semiclassical Transport

Numerical simulation results for the spectral density of noise due to current fluctuations are presented. The mathematical framework is based on the interpretation of the equations describing electron transport in the semiclassical transport model as stochastic differential equations (SDE). Within this framework, it was previously shown that the autocovariance function of current fluctuations can be obtained from the transient solution of the Boltzmann transport equation (BTE) with special initial conditions. The key aspect which differentiates this approach from other noise models is that this approach directly connects noise characteristics with the physics of scattering in the semiclassical transport model and makes no additional assumptions regarding the nature of noise. The solution of the BTE is based on the Legendre polynomial method. A numerical algorithm is presented for the solution of the transient BTE. Numerical results are in good agreement with Monte Carlo noise simulations for the spectral density of current fluctuations in bulk silicon.

Study of photon propagation in a liquid scattering medium

1997 ◽  
Vol 94 ◽  
pp. 251-256 ◽  
Author(s):  
S Marengo ◽  
C Pépin ◽  
D Houde
Keyword(s):  
Scattering Medium ◽  
Photon Propagation
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