Scattering matrices for horizontally oriented ice crystals

Scattering matrices for horizontally oriented ice crystals are calculated with a code based on the geometric optics. The main physical regularities inherent to the scattering matrices are discussed. Degree of polarization of the scattered light is shown to be a qualitative criterion of number of photon trajectories that contribute effectively to the scattered light. The inverse scattering problem of retrieving aspect ratios of the horizontally oriented hexagonal ice plates from polarization of the scattered light in the bistatic sounding scheme has been proposed and discussed.     

Polarized angular dependence of out-of-plane light-scattering measurements for nanoparticles on wafer

Bidirectional ellipsometry has been developed as a technique for distinguishing among various scattering features near surfaces. The polarized angular dependence of out-of-plane light-scattering by the nanoparticles on wafer is calculated and measured according to Rayleigh limit. These calculations and measurements yield angular dependence of bidirectional ellipsometric parameters for out-of-plane scattering. The experimental data show good agreement with theoretical predictions for different diameter of nanoparticles. The results suggest that improvements for accuracy are possible to perform measurements of scattering features from nanoparticles. The angular dependence and the polarization of light scattered by nanoparticles can be used to determine the size of nanoparticulate contaminants on silicon wafers.     

Thermoelectric effects in ice crystals

Starting from the phenomenological equations which describe the currents of the four specific ice lattice defects (OH₃ ⁺, OH^?, doubly occupied and vacant hydrogen bonds), the electrochemical and the homogeneous thermoelectric power are calculated for the currentfree steady state under the assumption of immobile chemical impurities. The expression for the homogeneous thermoelectric power agrees with the experimental value (1.8 mV/°C) if the energy values obtained from the electrical properties are inserted, and if the diffusivity ratios of the ions D^?/D⁺ and of the valence defects D^L/D^D are assumed to be much smaller than unity and 1.2, respectively. The formulae are also applied to ice doped with hydrofluoric acid, and the magnitudes of the Seebeck, Peltier and Thomson effects are derived.     

Polar relaxation mode in PbZrO3 crystals

Abstract

In antiferroelectric lead zirconate crystal with one phase transition a nearly monodispersive dipolar relaxation has been found in the paraelectric phase and temperature range 20 K below T _c in the frequency region 20—3 ′ 10⁵ Hz. This relaxation has a dominating influence on the temperature dependence of dielectric susceptibility. Relaxation time obeys the Arrhenius law increasing up to 1.5 ′ 10^?2s (11 Hz) at T _c and then exhibiting a distinct jump.     

Polarized light-scattering measurements of dielectric spheres upon a silicon surface

The polarization of light scattered into directions out of the plane of incidence by polystyrene latex spheres upon a silicon substrate was measured for p -polarized incident light. The experimental data show good agreement with theoretical predictions for three sizes of spheres. These results demonstrate that the polarization of light scattered by particles can be used to determine the size of particulate contaminants on silicon wafers. Theoretical models, based on successive degrees of approximation, indicate that the mean distance of a particle from the surface is the primary determinant of the scattered light polarization for small out-of-plane scattering angles.     

Polar properties of nominally pure polarized TGS crystals

Using the method of dynamic pyroeffect, polar properties of surface layers of nominally pure triglycinesulfate (TGS) crystals prepolarized in an electrostatic field are experimentally investigated. The results on the pyrocoefficient distribution over the crystal thickness modeled using the experimental dependences are reported. The model relies on the solution to the first-order integral Fredholm equation by the method of Tikhonov’s regularization.     

Light backscattering by hexagonal ice crystals

Backscattering of light by hexagonal ice columns and plates has been calculated by means of a ray-tracing code. It is shown that backscattering by the hexagonal ice cylinders at their arbitrary orientations is caused by a peculiar corner-reflector effect. A gigantic peak of backscattering is found at the angle of about 32.5° between the principal axis of a particle and the incidence direction for both hexagonal ice columns and plates. This peak is explained by multiple total internal reflections inside the crystals that take place for a part of incident rays. The obtained results on backscattering efficiency allow one to calculate backscattering by an ensemble of the hexagonal ice cylinders of various sizes, shapes and orientations. Slant lidar remote sensing of cirrus clouds for discrimination between aligned columns and plates is suggested as an application of the results obtained.     

随机取向六角形冰晶粒子的散射特性研究

利用离散偶极子近似方法研究卷云中随机取向六角形冰晶粒子的取向比对散射特性的影响,数值计算了在小尺度范围内随机取向六角形冰晶粒子的散射特征量,包括散射相函数、消光效率因子、不对称因子、单次散射反照率和线偏振度。研究表明:取向比对随机取向六角形冰晶粒子散射特征量的影响比较明显,并且此影响随着粒子尺度参数的变化而变化,与入射波长无关;相同尺度参量和不同取向比粒子的散射相函数的角分布曲线均有一个交点,并且随着粒子尺度参量的增加,交点所对应的散射角度值逐渐向小角度方向移动。此研究结果为气溶胶粒形检测和识别提供了理论依据。     

Classifying atmospheric ice crystals by spatial light scattering

We describe preliminary results from an optical scattering instrument designed to assess the shapes and sizes of microscopic atmospheric cloud particles, especially the smallest ice crystals, that can profoundly affect cloud processes and radiative properties. The new instrument captures high-resolution spatial light scattering patterns from individual particles down to approximately 1 microm in size passing through a focused laser beam. Its significance lies in the ability of these patterns to provide morphological data for particle sizes well below the optical resolution limits of current cloud particle probes.     

Scattering phase functions of horizontally oriented hexagonal ice crystals

Finite-difference time domain (FDTD) solutions are first compared with the corresponding T-matrix results for light scattering by circular cylinders with specific orientations. The FDTD method is then utilized to study the scattering properties of horizontally oriented hexagonal ice plates at two wavelengths, 0.55 and 12 μm. The phase functions of horizontally oriented ice plates deviate substantially from their counterparts obtained for randomly oriented particles. Furthermore, we compute the phase functions of horizontally oriented ice crystal columns by using the FDTD method along with two schemes for averaging over the particle orientations. It is shown that the phase functions of hexagonal ice columns with horizontal orientations are not sensitive to the rotation about the principal axes of the particles. Moreover, hexagonal ice crystals and circular cylindrical ice particles have similar optical properties, particularly, at a strongly absorbing wavelength, if the two particle geometries have the same length and aspect ratio defined as the ratio of the radius or semi-width of the cross section of a particle to its length. The phase functions for the two particle geometries are slightly different in the case of weakly absorbing plates with large aspect ratios. However, the solutions for circular cylinders agree well with their counterparts for hexagonal columns.     

A new polar nephelometer for measurement of atmospheric aerosols

The angular dependence of light scattered by aerosol particles in the atmosphere—the aerosol phase function—is one of the key properties of every radiative transfer and climate model. Side-scattering in the atmosphere is currently believed to be underestimated by most of the radiative transfer models in certain cases. The aerosol phase function can be measured with polar nephelometers.An innovative polar nephelometer able to measure the phase function of ambient aerosol directly is presented in this publication. The performance of the device was simulated completely using ray-tracing techniques. The results of these simulations are used to interpret the measurement data precisely. The measurements with the new polar nephelometer are fully automated. The quality of the measurement results was verified using different approaches. The values of the statistical and systematic error in measuring atmospheric aerosol are about 4% each. Scattering angles from 10° to 160° were measured and it is shown that with the same design this range can be extended to 3-177° in steps of 0.16° with an aperture of less than 1.8°.Measurements of the aerosol phase function are presented and compared with data taken with an integrating nephelometer and measurements of the particulate matter concentration. All data correlate very well. The described polar nephelometer can measure the phase function and the scattering coefficient of atmospheric aerosol with high accuracy and can be used for continuous monitoring measurements as well as in field campaigns.     

Dielectric measurements of new antiferroelectric liquid crystals

Three new pure antiferroelectric materials, synthesized at the Military University of Technology (MUT), were investigated by dielectric means. Clear relaxation modes were detected, i.e., Soft, Goldstone, low frequency in-phase (P_L) as well high frequency anti-phase (P_H) modes for paraelectric Sm A*phase, ferroelectric Sm C* phase and antiferroelectric Sm C_A* phase, respectively. Additionally, a high relaxation mode in Sm C_A* was found. The relaxation frequencies f_R of the observed modes were calculated from Cole-Cole diagrams.     

Statistical approach to light scattering by convex ice crystals

Within the geometric optics approximation, the phase functions of randomly oriented ice crystals are calculated as a series relative to multiplicity of internal collisions of light inside the particles. In the case of convex crystals, it is shown that the coefficients of the series provide the most information about the crystal shapes, while the angular functions of this series are weakly dependent on the shapes. The prevailing role of the term corresponding to one internal collision is emphasized. Three numbers describing a distribution of the single-collision scattered light among the aureole and halos of 22 degrees and 46 degrees prove to be the basic parameters by which to characterize scattering by hexagonal ice crystals.     

Comparison of the transverse viscoelastic properties of benzyl benzoate from ultrasonic and light-scattering measurements

The results obtained from depolarised light scattering experiments as a function of temperature are compared with ultrasonic impedance measurements previously obtained by Barlow and Erginsav. At low temperatures (in the supercooled region) a depolarised propagating doublet is observed and the velocity thus obtained is concordant with Barlow's results. At higher temperatures the relaxation time, τ_C, is obtained from the width of the depolarised spectrum. Contrary to the suggestion of Barlow, there is little correspondence between τ_C and the retardation time for viscous response.     

Magnetostriction measurements of Ni-Zn ferrite single crystals

The magnetostriction constants λ₁₀₀ and λ₁₁₁ of Ni-Zn ferrite Ni_1?xZn_xFe₂O₄ single crystals with x equal to 0, 0.07, 0.17, 0.40 and 0.67 were measured by a three terminal capacitance method from liquid N₂ to room temperatures.The constants λ₁₀₀ and λ₁₁₁ of Ni ferrite at liquid N₂ temperature were ?43.0 × 10^?6 and ?20.1×10^?6 respectively.The magnitude of the constant λ₁₀₀ increased with the increase of Zn concentration and took a maximum at x of about 0.33, while the magnitude of the constant λ₁₁₁ decreased almost linearly with the increase of Zn concentration and then became zero at x about 0.75.     

Correction factors for a total scatter/backscatter nephelometer

Total aerosol scattering and backscattering atmospheric values are typically obtained with an integrating nephelometer. Due to design limitations, measurements do not cover the full (0°–180°) angular range, and correction factors are necessary. The effect of angle cutoff is examined for a number of particle size distributions and refractive indices. Scattering data for sub-micron particles can be corrected by the use of a modified Anderson approximation, while data for larger particle distributions can be approximated by a function of the effective size parameter. Correction factors for the hemispheric backscatter ratio are found to be small if nonsphericity is assumed. Such approximations will help more accurate corrections for angle range, particularly at large size parameter values.