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EN
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.
EN
The dependence of changes in the relative intensity and the spectral degree of coherence on the refractive-index Cn2 of biological tissues, space correlation length σ0 and wavelength λ of the Gaussian Schell-model (GSM) vortex and non-vortex beams in biological tissues has been studied. It is shown that the intensity distribution of GSM vortex beams passing through the biological tissues undergoes several stages. The bigger Cn2 is, and the smaller σ0 is, the quicker the intensity evolution is. The attenuation of intensity for GSM vortex beams is much slower than that of non-vortex beams, thus the beam quality of the former is better than the latter. When propagating through the biological tissue, the phase singularities of GSM vortex beams will appear. As the propagation distance increases, the position of the phase singularities will shift, and these points will disappear where the changes in the spectral degree of coherence of GSM vortex beams are consistent with those of GSM non-vortex beams. At the same propagation distance, the bigger Cn2 is, and the smaller σ0 and λ are, the shorter the distance between the phase singularities and the z axis is, when the propagation distance z is in the range of 0–50 μm.
EN
Two Fourier relations of light waves scattered by a random-distributed particulate medium have been investigated. We find that the scattered field and the particulate collection satisfy two Fourier relations, i.e. the spectral density is directly proportional to a Fourier transform of a convolution of correlation coefficient of each particle and correlation coefficient of distribution function of the whole collection, and the spectral degree of coherence is directly proportional to a Fourier transform of a convolution of strength of the scattering potential of each particle and strength of the distribution function of the whole collection. To illustrate these relations, behaviors of the far-field generated by Gaussian-correlated particles with Gaussian-correlated distributions have been discussed.
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