We present results of joint analysis of the data of high-level cloud sensing with a polarization lidar and satellite radiometer MODIS. The possibility of detection from space of cirrus clouds with preferred orientation of ice crystals is discussed.
We propose a model of distribution of angular deviation of large particles orientation in a crystal cloud from the
horizontal position of their big diameters in the process of their fall due to gravity. A single-parameter distribution of
particles over angles of orientation is obtained. The distribution parameter is shown to be dependent on the particle size
and the rate of energy dissipation in the turbulence cells. The dependence turns out to be much stronger than those in
models proposed earlier.
We discuss the possibility that particles of a crystal cloud can take a preferred orientation with respect to wind direction under the
action of aerodynamic forces in the atmosphere. It is shown theoretically that the preferred orientation can be caused by wind speed
pulsations and by the forces applied to a particle falling due to gravity in the presence of wind speed gradient. The theoretical
estimate of the parameter of the function of particle orientation distribution over azimuth angles well agrees with its experimental
estimate from the backscattering phase matrices of cirrus clouds obtained from data of polarization lidar measurements.
The particles of upper clouds are ice crystals with various sizes and shapes. Under certain conditions they can be oriented in space. This circumstance leads to the significant anisotropy of light in cirrus clouds that should be taken into account when solving problems of radiation propagation through the atmosphere.
Acquiring the information on parameters of particle orientation in ensembles of actual clouds is still an urgent and poorly studied problem. In this connection, we have developed a lidar technique for measuring the backscattering phase matrices (BSPM) that enables one to acquire such information.
Based on processing of 450 experimentally measured BSPMs we have drawn the following conclusions:
- in 90 to 95 % cases the orientation of the larger diameters of particles along the azimuth direction was observed, though in 70% of these cases the orientation was only weakly pronounced against the background of particles that had no preferred orientation in the azimuth plane. However, the backscattering coefficients for linearly polarized light can strongly depend on the orientation of the polarization plane.
- the larger diameters of particles practically always lied in the horizontal plane, and in 50% cases the degree of this orientation should be recognized essential. The latter means that the extinction coefficient of such clouds should strongly depend on the angle of radiation incidence on the cloud layer.
The problems of the polarization lidar transceiver optimization are considered. The basic features and the optimization criteria of lidar polarization units are presented and the comparative analysis of polarization units is fulfilled. We have analyzed optical arrangements of the transmitter to form the desired polarization state of sounding radiation. We have also considered various types of lidar receiving systems: (1) one-channel, providing measurement of Stocks parameters at a successive change of position of polarization analyzers in the lidar receiver, and (2) multichannel, where each channel has a lens, an analyzer, and a photodetector. In the latter case measurements of Stocks parameters are carried out simultaneously. The optimization criteria of the polarization lidar considering the atmospheric state are determined with the purpose to decrease the number of polarization devices needed.
Several physical factors that govern the light scattering scenario in optically anisotropic media are discussed and the degree to which they may affect the date of laser sounding of crystal clouds is assessed. Among the peculiarities of light propagation and scattering in such media there are: 1) possible changes in the state of polarization of a sounding beam; 2) the transformations of the polarization state and extinction of sounding radiation may depend on the direction of sounding; 3) the data of laser sounding regarding the backscatter and lidar depolarization may be ambiguous. The matter is that in an anisotropic medium these properties of the backscattered radiation depend on the polarization state of a sounding beam and on the orientation of the lidar. As the calculated and experimental data presented in this paper show, the change of the sounding beam polarization state during the propagation in cirrus clouds may be neglected in the majority of practical cases. At the same time, the dependence of the radiation extinction on the direction of sounding, as well as the ambiguity in sounding data mentioned above should certainly be taken into account.
Lidar equation has been derived for the case when the anisotropy of a scattering medium is assumed to be weak to introduce any essential distortions into the wave front of a sounding radiation. It is shown in the paper that this equation may successfully b used when interpreting data of lidar sensing of crystal clouds in the atmosphere.
In this paper we present analytical formulas for the brightness of images of a lidar scattering volume formed by two cross polarized components of the lidar backscatter derived for the case of a spherical polidispersion irradiated with a narrow laser beam. The calculational results we compare with the experimental ones obtained with a DLR lidar having two fields of view.
The discriminants in a backscatter lidar operated from space like different wavelengths, Raman scattering, polarization, multiple scattering or scanning are reduced to polarization, scanning and multiple scattering caused by the limited space and power available in space. Polarization and scanning influences the information content of backscattering from non- spherical particles. A solution for the arising problems cannot be proposed. Multiple scattering is the only discriminant which can be applied from space.
Theoretical grounds are given in this paper for two methods of determining preferred orientation of crystal particles in a cloud. The methods proposed in the paper enable one to do this in a much simpler way than it could be done when measuring full backscattering phase matrix. One of the methods proposed assumes that a polarization lidar can be rotated as a whole, while the second technique uses rotation of the polariztion plane of a linearly polarized sounding beam. Feasibility of the former technique is illustrated in the paper with the results of field experiments on sounding of a snowfall. Recent experimental studies of crystal clouds conducted with a polarization lidar capable of measuring backscattering phase matrices (BPM) have revealed the fact that preferred orientation of symmetry axes of particles in crystal clouds is very often observed to be in horizontal plane. This conclusion is drawn from the fact that off-diagonal elements of BPMs measured differ from zero. Using a model ensemble of crystal particles of axially symmetric plates and columns one can determine the direction of preferred orientation and the degree of particles orientation about this direction. For many practical reasons it is quite desirable to try to construct a technique for detecting situations in clouds under study when a preferred orientation of crystal particles occurs, which is more simple than that based on measurements of BPMs of clouds. Below we describe two possible versions of lidar measurements using a polarization lidar with a linearly polarized sounding radiation. Such a lidar can record two cross polarized components of lidar returns from scattering medium, i.e. two first Stokes parameters. One of the versions assumes that a lidar facility can be turned around the sounding beam axis as a whole, white in the second version we need to use a (lambda) /2 phase plate in the lidar transmitter to enable changes of sounding beam polarization. In order to make understanding of the techniques proposed easier, let us remind basic relationships for a polarization lidar sensing scheme.
Backscattering phase matrices (BPM) have been measured by a polarization lidar with controllable polarization of output laser radiation for measuring all the Stokes parameters at (lambda) equals 532 nm. The degree of orientation and the preferred orientation of particles are determined. To this end, the properties of BPM for the model of axisymmetric prolate particel (APP) ensemble are used. It has been suggested that scattering anisotropy of an aeosol layer, whose BPM is not described by the APP model, is caused by birefringence. In laser sensing of the atmosphere ensembles of aerosol particles being sounded are characterized by the backscattering coefficient. Very often, in addition to this parameter, the intensities of polarized and crosspolarized components of backscattered radiation are determined provided that lineraly polarized laser radiation is used. The ratio of these components is called depolarization and it is assumed a measure of the particle nonsphericity. Use of the above characteristics is based on the concept that atmospheric aerosols are ensembles of spherical or nonspherical randomly oriented particles. An experience of optical studies has shown that such a concept is quite justifiable for the majority of atmospheric aerosols. However, these exists quite a wide class of natural aerosols in the atmosphere, namely, the crystalline clouds, for which the lidar equation in scalar form is insufficient since such aerosol ensembles should be described with a backscattering phase matrix. Below we shall demonstrate this by an example. Of course, the necessity of using the BPM to describe such aerosols is, in certain sense, obvious because anomalous optical phenomena resulting from a pronounced anisotropy of light scattering by crystal clouds have been known long ago. Nevertheless, such phenomena are too rare and it is not a proiri clear how often essential deviations from the scalar approximation occur. Thus, the experimental material available for our analysis at present and partially described in references allow us to arrive at the conclusions that in 30-40 percent lidar observations of crystalline clouds either the backscattering coefficient depends on the direction of sounding radiation polarization or the polarization of scattered light becomes elliptical, or both these effects occur simultaneously.
Cirrus clouds are a specific atmospheric formation that essentially influence on the radiation balance in the atmosphere, hamper the operation of the Earth-Space optical communication systems, and distort the results of instrumental observations of the Earth from space. Very often cirrus clouds are invisible for spaceborne instruments which makes it difficult to properly account for the distortions they introduce into the observations. These and other circumstances make the detection of cirrus clouds and measurement of the characteristics with a spaceborne lidar an urgent problem of lidar technology. Sounding of cirrus clouds with a lidar has some peculiarities compared to sounding of lower level clouds, first of all because these clouds are mainly composed of crystal particles. Orientation of such particles that can occur due to the action of gravity, aerodynamic, and electrostatic forces makes lidar return signals strongly dependent on the angle at which sounding radiation is incident on the particles and on the state of sounding radiation polarization. To illustrate this statement we remind the existence of the effect of anomalous backscattering discussed. The effect occurs due to specular reflection of light from the plane surfaces of ice crystals.
An attempt to interpret backscattering phase matrices of cirrus clouds measured with a ground-based lidar is undertaken in this paper based on a theoretical model of interaction between optical radiation and an ensemble of flaked crystals. Deviations of the diagonal elements from unity indicated that partides orientation differed from the horizontal one and the crystals had a prefered orientation at some angle with respect to the direction of sounding.
Keywords: backscattering phase matrices, cirrus douds, lidar
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