Reflection of narrow light beams by a scattering medium

A calculation is made of the doubly back scattered radiation from the intersection volume and the close-range volume. A comparison of the results for singly and doubly scattered radiation with experimental data enables the limits of applicability of the equations to be determined. It is shown that for scattering coefficients in fog of < 0.06 m^–1 the scattered radiation field is caused by single scattering but when increases to 0.6 m^–1 only the doubly scattered radiation from the intersection and close-range volumes need be considered.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 95–100, April, 1974.     

Self-action of Bessel light beams in medium with large nonlinearity

The modifications of an angular spectrum of the intense Bessel J₀ and J₁ beams caused by self-action in the medium with large cubic nonlinearity are investigated. The appearance of an outer ring of triple radius was observed. The phenomenon can be explained as Bragg diffraction of Bessel beam on Bessel lattice in nonlinear medium. Experimental results are in qualitative agreement with the theoretical predictions.     

Multiple Rayleigh-Gans-Debye scattering in colloidal systems-dynamic light scattering

Equations for (depolarized) intensity auto-correlation functions including second order scattering contributions are derived. The equations obtained are quite similar to those for static light scattering¹). The geometry of the scattering system plays an important role here.An iterative procedure to correct correlation functions for double scattering is presented.Experiments on colloidal solutions containing latex and silica particles are performed, testing the theory and the iterative correction procedure for double scattering. We use cylindrical cuvettes with cylindrical incident and detected beams of radiation. The agreement between experiment and theory is found to be quite good, yielding a routine correction procedure for double scattering.     

Attenuation of collimated light beams in scattering media

The effect of singly side-scattered light on the attenuation of collimated light beams in turbid media is investigated. Correction formulas for the exponential attenuation law are derived for the case where the viewing angles of the receiving system and radiation source are equal. The ranges in which the corrections are important in the propagation of light beams in haze, fog, and rain are indicated. It is shown that the range of solid angles in which the angular dependence of the scattered light can be neglected is defined by the inequality 1.1, where p is the Mie parameter; the solid angle determines the divergence of the light beam, which is equal in this case to the viewing angle of the receiving system.     

Reflection of narrow light beams by a dissipating medium

The brightness distribution of multiple back-scattering of radiation is investigated in a plane perpendicular to the beam axis as a function of the density of the artificial mists and smokes. The range of the distances from the beam axis (base) investigated was 0.02–1 m or 10^–4–1.8 in optical quantities. The investigations were accompanied by parallel measurements of the scattering index by using a turbidimeter, which permitted making quantitative estimates of the influence of the form of the index on the magnitude of the intensity of the multiply-scattered radiation for diverse values of the optical base. It is shown that the brightness distribution of the multiply scattered radiation takes on a smoother shape as the elongation of the index increases.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 61–65, November, 1973.     

Characterizing and monitoring respiratory aerosols by light scattering

The elastic-scattering intensity pattern from a single particle as a function of spherical coordinate angles theta and phi provides detailed information on the pattern's morphology. By use of an ellipsoidal reflector and a CCD camera, a single-laser-shot intensity pattern from a large angular range (theta from 90 degrees to 168 degrees and phi from 0 degrees to 360 degrees) was detected from a single aerosol (e.g., a Bacillus subtilisspore, a 1-microm-diameter polystyrene latex sphere, or a cluster of either of these) flowing through the reflectors focal volume at 5 m/s. Noticeable difference in the large-angle-range two-dimensional angular optical scattering (LATAOS) suggest that the LATAOS pattern could be useful in differentiating and classifying life-threatening aerosols from normal background aerosols.     

Generation of nearly diffraction-free laser beams

Laser beams which behave like the so-called diffraction-free beams have been generated by an argon ion laser with a new type of cavity. They have almost the same intensity distributions and propagation characteristics as those predicted for the Bessel-Gauss beams which were introduced recently. Beams corresponding not only to the lowestorder but also to higher-order Bessel-Gauss beams have been obtained.     

Comparison of two approximate methods for hard-edged diffracted flat-topped light beams

The integral resulted in an infinite series of Bessel functions and expanding a hard aperture into a complex-Gaussians shape are proposed as two methods for studying the propagation properties of the hard-edged diffraction flat-topped light beam. Using the two methods, the corresponding analytical propagation equations of flat-topped light beams through a circular apertured ABCD optical system are obtained. Some numerical calculations and comparative analyses by using the two methods and the diffraction integral formulae are made. It is shown that the first method of an infinite series of Bessel functions is superior to the second of expanding a hard aperture function into a complex-Gaussians shape at the aspect of calculation accuracy, but the second method is superior to the first method at the aspect of the improvement in the calculation efficiency.     

Multiple scattering of light in superdiffusive media

Light transport in superdiffusive media of finite size is studied theoretically. The intensity Green's function for a slab geometry is found by discretizing the fractional diffusion equation and employing the eigenfunction expansion method. Truncated step length distributions and complex boundary conditions are considered. The profile of a coherent backscattering cone is calculated in the superdiffusion approximation.     

Multiple scattering of light by water cloud droplets with external and internal mixing of black carbon aerosols

The mixture of water cloud droplets with black carbon impurities is modeled by external and internal mixing models.The internal mixing model is modeled with a two-layered sphere(water cloud droplets containing black carbon(BC) inclusions),and the single scattering and absorption characteristics are calculated at the visible wavelength of 0.55 μm by using the Lorenz-Mie theory.The external mixing model is developed assuming that the same amount of BC particles are mixed with the water droplets externally.The multiple scattering characteristics are computed by using the Monte Carlo method.The results show that when the size of the BC aerosol is small,the reflection intensity of the internal mixing model is bigger than that of the external mixing model.However,if the size of the BC aerosol is big,the absorption of the internal mixing model will be larger than that of the external mixing model.     

Elastic scattering and reactions of light exotic beams

The present work provides a literature survey of elastic scattering of exotic nuclei from ⁶He to ¹⁷F. It presents a set of definitions that allow different analyses to be put into a common language. A calculational approach is proposed that yields consistent results across different beams and targets so that conclusions concerning the influence of virtual and real breakup as well as transfer couplings on the elastic scattering may be drawn. Calculations of elastic scattering around the Coulomb barrier are emphasised, employing a Pb target whose large Z allows the interplay between nuclear and Coulomb forces to be exploited to maximise possible effects arising from proton or neutron haloes or skins. A series of test calculations is performed and where possible compared to data, demonstrating that there are instances where coupling to transfer channels can have a large effect on the elastic scattering angular distributions. By careful choice of target/beam combination, different aspects of the coupling effects may be emphasised.     

Enhanced raman scattering spectra for gaussian light beams

We show that effect of light-induced focusing of the low-frequency Raman scattering components and defocusing of the high-frequency components in the field of a gaussian exciting beam lead to a slight shift of the enhanced Raman line relative to the center of the spontaneous Raman line on the low-frequency side. We propose and provide a rationale for an efficient algorithm for calculating the average power for enhanced Raman scattering, based on numerical solution of the wave equation for the field of the Stokes beam developing from spontaneous Raman scattering. __________ Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 74, No. 2, pp. 230–236, March–April, 2007.     

Polariton theory of the scattering of light beams in semiconductors

A microscopic theory is represented of the scattering of the excitonic polariton on the excitonic polariton in semiconductors with direct band gaps. All possible scattering mechanisms were taken into account. In the calculations the second quantization method was used in an effective manner. The general results were applied to the case of the single exciton level in CdS. The contributions from different scattering mechanisms were compared.     

LIDAR multiple scattering from clouds

Multiple-scattering LIDAR return calculations obtained by seven different models for the same specified numerical experiment are compared. This work results from an international joint effort stimulated by the workshop group called MUSCLE for MUltiple SCattering Lidar Experiments. The models include approximations to the radiative-transfer theory, Monte-Carlo calculations, a stochastic model of the process of multiple scattering, and an extension of Mie theory for particles illuminated by direct and scattered light. The model solutions are similar in form but differ by up to a factor of 5 in the strength of the multiple-scattering contributions. Various reasons for the observed differences are explored and their practical significance is discussed.     

Raman scattering resonances in separated fields

The effects in separated standing-wave fields that are resonant to adjacent Doppler-broadened transitions of many-level atoms are studied. It is shown that due to coherent transfer, at large distances, of polarization on a forbidden transition between the initial and final metastable levels of atoms in a gas, light emission arises at combination frequencies. It is also shown that a resonance with the width reciprocal to the time of flight between separated fields is available in the Raman scattering and absorption line shapes.