Error in determining Mueller matrix elements and its effect on solution of the inverse problem of polarimetry

We present an analysis of the errors in measurement of the Mueller matrix elements in polarimeters that are a combination of different types of Stokes polarimeters in the detection channel and controllable polarization converters in the probing channel. As polarization converters for the probing radiation, we consider a phase plate having four different angular positions in measuring the complete Mueller matrix and a linear polarizer having different angular positions in measuring the structural parts of an incomplete 4 × 3 Mueller matrix. We have shown that the error in determining the Mueller matrix elements is distributed nonuniformly over the matrix. The nature of the error distribution over the elements and its values are different for different combinations of detection and probing channels of the polarimeter, and depend on the anisotropy of the test object. The latter dictates the choice of the optimal layout for a Mueller polarimeter for studying media with the same or different types of anisotropy and the choice of Mueller matrix elements used to solve the inverse problem of determining the anisotropy parameters.     

Exact solution to the problem of nonlinear pulse propagation through random layered media and its connection with number triangles

An energy pulse refers to a spatially compact energy bundle. In nonlinear pulse propagation, the nonlinearity of the relevant dynamical equations could lead to pulse propagation that is nondispersive or weakly dispersive in space and time. Nonlinear pulse propagation through layered media with widely varying pulse transmission properties is not wave-like and a problem of broad interest in many areas such as optics, geophysics, atmospheric physics and ocean sciences. We study nonlinear pulse propagation through a semi-infinite sequence of layers where the layers can have arbitrary energy transmission properties. By assuming that the layers are rigid, we are able to develop exact expressions for the backscattered energy received at the surface layer. The present study is likely to be relevant in the context of energy transport through soil and similar complex media. Our study reveals a surprising connection between the problem of pulse propagation and the number patterns in the well known Pascal’s and Catalan’s triangles and hence provides an analytic benchmark in a challenging problem of broad interest. We close with comments on the relationship between this study and the vast body of literature on the problem of wave localization in disordered systems.     

Potential of a dielectric target during its irradiation by a pulsed electron beam in the forevacuum pressure range

The potential induced on the surface of a nonconducting ceramic during irradiation by an electron beam in the forevacuum pressure range (5?C15 Pa) remains negative, but its absolute value is much smaller than the energy of accelerated electrons. The factors affecting the negative potential of a nonconducting ceramic target are determined. The evolution of the charge injected in the ceramic is analyzed by a numerical simulation.     

Annular effect in MHD — an example of a boundary value problem to be solved by Lie series formalism

The relation between the parameters of the optical potential of the deuteron and those of its constituent nucleons is investigated. An analytical expression for the real depth of the deuteron potential is derived, where it is represented as the sum of the proton and neutron real potentials minus a correction factor. Optical model analysis is carried out for deuteron and proton elastic scatterings in order to test the derived relation.     

Numerical solution to the plane heat-mass transfer problem in a system of focused radiation flux-liquid condensed substance film-oxidizer

The plane problem of heat and mass transfer in a focused radiation flux-liquid condensed substance film-oxidizer system is numerically solved. Peculiarities of heat and mass transfer at radiation energy absorption by a vapor-gas mixture near the liquid surface are analyzed. The influence of the radiation density distribution in a flux and the liquid and oxidizer parameters on the conditions of heat and mass transfer is assessed.     

Disintegration of hydrogen phases in palladium and titanium during irradiation with a synchrotron radiation bunch in the X-ray spectral region

Data from measurements of the disintegration kinetics of hydrogen phases in palladium and titanium during annealing and irradiation with a synchrotron radiation bunch in the X-ray spectral region on the VEPP-3 LIGA Technology station are presented. The hydride phases in palladium and titanium remain stable at sample temperatures of 60°C and irradiation doses of up to 3000 J cm^?3 during irradiation with a synchrotron radiation bunch and start to decompose during sample heating to a temperature of 90–100°C.     

A solution to the problem of the skin effect with a bias current in the Maxwell plasma by the method of expansion in eigenfunctions

A problem of the skin effect in the Maxwell plasma is solved analytically by the method of expansion in eigenfunctions based on the Vlasov–Maxwell kinetic equation with a self-consistent electric field. Specular electron reflection from the boundary is used as a boundary condition. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 33–38, February, 2009.     

Analysis of the sizes and number of microparticles in the ablation plume,which attenuates laser radiation during ablation of a constructive material

The effect of laser radiation with a wavelength of 1.3 μm, power of 25 kW, pulse width of 1 s, and irradiated spot area of 9 cm² on carbon silicon carbide composite material (CSCCM) is analyzed. The formation of an ablation plume (which consists of vapor of irradiated material, burning products, drops and microparticles of various chemical composition and size) above the irradiated surface leads to a significant loss of laser energy. The fractions of the scattered and absorbed laser radiation in the plume are determined, the size and mass distributions of microparticles in the plume are estimated, their concentration is calculated, and the microparticle escape velocities from the irradiated CSCCM surface are evaluated.     

Investigation on the transition crystal of ordinary rutile TiO2 powder by microwave irradiation in hydrogen peroxide solution and its sonocatalytic activity

The transition crystal TiO(2) catalyst with high sonocatalytic activity was obtained utilizing the microwave irradiation in hydrogen peroxide solution. At the same time a series of affecting factors (microwave irradiation time, heat-treated time and heat-treated temperature) to prepare the TiO(2) catalyst on the sonocatalytic degradation of parathion were considered in this paper. The ultrasound of low power was used as an irradiation source to induce treated TiO(2) particles to perform catalytic activity. The results show that the sonocatalytic activity of the transition crystal TiO(2) powder is obviously higher than those of pure ordinary rutile and anatase TiO(2) powders. At last, the parathion in aqueous solution was degraded completely and became some simple inorganic ions such as NO(3)(-), PO(4)(3-), SO(4)(2-), etc. The degradation ratio of parathion in the presence of the transition crystal TiO(2) catalyst attains nearly 80% within 60 min ultrasonic irradiation, while corresponding ones are only 65.23% and 53.88%, respectively, for pure ordinary rutile and anatase TiO(2) powders.     

Perturbation of the solution of the inverse problem for a magnetostatic dipole by errors in the initial data

Perturbations of the known solutions of the inverse problem of parameters localization and determination for a point magnetostatic dipole are analyzed in the presence of errors in the initial data: the magnetic-induction vector and the tensor of first spatial derivatives of the magnetic field. On the basis of perturbation theory for the eigenvalues of real symmetric matrices, analytical estimates are obtained for the upper bounds of perturbation of the solutions. The results of analytical consideration are confirmed and complemented by digital modeling of solutions of the inverse problem in conditions of uniform and normal error distribution in the initial data.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 17–22, June, 1985.     

Elastic stresses in random flow of a dilute polymer solution and the turbulent drag reduction problem

In this short review I argue that the progress in our understanding the mechanism of turbulent drag reduction is conditioned by obtaining experimental data on dynamics and statistics of polymer stretching and elastic stresses in inertial turbulence at high Reynolds numbers that is a technically challenging task. The suggested way out of the currently unresolved technical problem is to collect the same data in elastic turbulence, which is a smooth random flow similar to that found in inertial turbulence below the dissipation scale. Since the polymer stretching and elastic stresses in inertial turbulence are influenced only by small scales, it is appropriate to use information on the polymer stretching and elastic stresses obtained in elastic turbulence. The experimental data on the statistics of the polymer stretching, the coil–stretch transition, and elastic stresses together with spatial distribution and values of the rms of the velocity gradients were collected in elastic turbulence for the last several years. This information serves a basis for a new hypothesis of turbulent drag reduction. To cite this article: V. Steinberg, C. R. Physique 10 (2009).     

Study of defect annealing by supercurrent proton beam irradiation and of radiation defect profiles in GaAs by the positron annihilation method

The annealing of radiation defects in GaAs by a supercurrent proton beam with currents up to 200 A cm^?2 and 4.8 MeV energy was studied. The positron annihilation method (measurement of angular distribution of annihilation photons) has been used to study the depth profiles of radiation defects in solids. Profiles of vacancy-type defects in GaAs irradiated by a supercurrent proton beam have been measured.     

Absolute transition probabilities in NbI and Hfl and a solution to the problem of missing infrared branches

Accurate branching ratios and absolute transition probabilities for 320 lines in NbI and 187 lines in HfI are reported. A technique is developed for testing the completeness of emission branching ratios and, if necessary, determining the total transition probability of unknown infrared (IR) branches. The technique is based on a comparison of non-IR fluorescence produced by laser excitation to two upper levels from the same lower level. There are no important IR branches beyond 1.0 μm from any of the NbI levels studied. Several HfI levels show strong IR branches that account for most of the radiative decay from these levels.     

The capacity drop caused by the combined effect of the intersection and the bus stop in a CA model

The aim of this work is to investigate the combined effect of the signalized intersection and its near-by bus stop, by using a two-lane CA model. Four cases that the stop locates upstream or downstream the intersection, and ones with the special stop lane or not are considered. The effect of the distance L_D between the stop and the intersection on the capacity is studied, with respect to the traffic light cycle T and the bus dwell time T_s. It is found that acting as a bottleneck, the bus stop near the intersection causes the drop of the capacity. The negative effect only appears below a critical point L_Dc, which is related to the T and the T_s in no stop lane cases. The larger T and T_s have the tendency to create the higher loss of the capacity. While for stop lane cases, the critical value L_Dc changes little. Comparisons among four cases suggest that the special stop lane can effectively enhance the capacity, and the downstream stops perform better than the upstream ones at small L_D or small T or large T_s. The results imply that the capacity can be maximized by adjusting both the position of the bus stop and the cycle time, or adding a special stop lane. These findings may be useful to offer scientific guidance for the management and the design of traffic networks.     

Influence of neutron irradiation on the martensitic transformations and shape-memory effect in a TiNi alloy

The paper reports measurements of the strains and electrical resistance of a TiNi shape-memory alloy under irradiation in the low-temperature helium circuit of a nuclear reactor. Irradiation of the alloy in martensitic state at 170 K revealed that the transition temperatures from cubic to rhombohedral and from rhombohedral to monoclinic phase decrease exponentially with increasing dose. No change in the shape-memory effects and transformation plasticity was observed up to a dose of 6.7×10²² n/m². Keeping the sample at 340 K without irradiation restores (increases) partially the transition temperatures. The relations observed can be assigned to a change in the degree of long-range order in the lattice caused by neutron irradiation. Fiz. Tverd. Tela (St. Petersburg) 40, 1705–1709 (September 1998)