scholarly journals Dependence of the single-scattering properties of small ice crystals on idealized shape models

2010 ◽  
Vol 10 (11) ◽  
pp. 28109-28149 ◽  
Author(s):  
J. Um ◽  
G. M. McFarquhar
Keyword(s):  
Center Of Mass ◽  
Single Scattering ◽  
Ice Crystals ◽  
Idealized Model ◽  
Direct Observations ◽  
Spherical Models ◽  
Common Center ◽  
The Difference ◽  
Random Spheres ◽  
Scattering Phase Function

Abstract. Small ice crystals (with maximum dimension <50 μm) appear quasi-circular when imaged by probes on aircraft flying through cloud. Therefore, idealized models constructed to calculate their single-scattering properties have included quasi-spherical models such as Chebyshev particles, Gaussian random spheres, and droxtals. Recently, an ice analogue grown from sodium fluorosilicate solution on a glass substrate, with several columns emanating from a common center of mass, was shown to be quasi-circular when imaged by state-of-the-art cloud probes. In this study, a new idealized model, called the budding Bucky ball (3B) that resembles the shape of the small ice analogue is developed. The corresponding single-scattering properties (scattering phase function P11 and asymmetry parameter g) are computed by a ray-tracing code. Compared with previosly used models, 3B scatters less light in the forward and more light in the lateral and backward directions. The Chebyshev particles and Gaussian random spheres show smooth and featureless P11, whereas droxtals and 3Bs, which have a faceted structure, show several peaks in P11 associated with angles of minimum deviation. Overall, the difference in the forward (lateral; backward) scattering between models are up to 22% (994%; 132%), 20% (510%; 101%), and 16% (146%; 156%) for small ice crystals with repective area ratios of 0.85, 0.77, and 0.69. The g for different models varies by up to 25%, 23%, and 19% for particles with area ratios of 0.85, 0.77, and 0.69, respectively. Becuase the single-scattering properties of small ice crystals depend both on the choice of the idealized model and the area ratios used to characterize the small ice crystals, higher resolution observations of small ice crystals or direct observations of their single-scattering properties are required.

scholarly journals Dependence of the single-scattering properties of small ice crystals on idealized shape models

2011 ◽  
Vol 11 (7) ◽  
pp. 3159-3171 ◽  
Author(s):  
J. Um ◽  
G. M. McFarquhar
Keyword(s):  
Center Of Mass ◽  
Single Scattering ◽  
Ice Crystals ◽  
Idealized Model ◽  
Direct Observations ◽  
Spherical Models ◽  
Common Center ◽  
The Difference ◽  
Random Spheres ◽  
Scattering Phase Function

Abstract. The projections of small ice crystals (with maximum dimension <50 μm) appear quasi-circular when imaged by probes on aircraft flying through cloud. Therefore, idealized models constructed to calculate their single-scattering properties have included quasi-spherical models such as Chebyshev particles, Gaussian random spheres, and droxtals. Recently, an ice analogue grown from sodium fluorosilicate solution on a glass substrate, with several columns emanating from a common center of mass, was shown to be quasi-circular when imaged by state-of-the-art cloud probes. In this study, a new idealized model, called the budding Bucky ball (3B) that resembles the shape of the small ice analogue is developed. The corresponding single-scattering properties (scattering phase function P11 and asymmetry parameter g) are computed by a ray-tracing code. Compared with previously used models, 3B scatters less light in the forward and more light in the lateral and backward directions. The Chebyshev particles and Gaussian random spheres show smooth and featureless P11, whereas droxtals and 3Bs, which have a faceted structure, show several peaks in P11 associated with angles of minimum deviation. Overall, the difference in the forward (lateral; backward) scattering between models are up to 22% (994%; 132%), 20% (510%; 101%), and 16% (146%; 156%) for small ice crystals with respective area ratios of 0.85, 0.77, and 0.69. The g for different models varies by up to 25%, 23%, and 19% for particles with area ratios of 0.85, 0.77, and 0.69, respectively. Because the single-scattering properties of small ice crystals depend both on the choice of the idealized model and the area ratios used to characterize the small ice crystals, higher resolution observations of small ice crystals or direct observations of their single-scattering properties are required.

scholarly journals Modeling of Aerosol Radiation-Relevant Parameters in the Troposphere of Siberia on the Basis of Empirical Data

Atmosphere ◽  
2018 ◽  
Vol 9 (11) ◽  
pp. 414 ◽  
Author(s):  
Mikhail Panchenko ◽  
Svetlana Terpugova ◽  
Victor Pol’kin ◽  
Valerii Kozlov ◽  
Dmitry Chernov
Keyword(s):  
Complex Refractive Index ◽  
West Siberia ◽  
Single Scattering ◽  
Single Scattering Albedo ◽  
Optical Characteristics ◽  
Asymmetry Factor ◽  
Size Spectrum ◽  
Scattering Phase ◽  
Scattering Phase Function ◽  
Modal Radius

The paper presents the generalized empirical model of the aerosol optical characteristics in the lower 5-km layer of the atmosphere of West Siberia. The model is based on the data of long-term airborne sensing of the vertical profiles of the angular scattering coefficient, aerosol disperse composition, as well as the content of absorbing particles. The model provides for retrieval of the aerosol optical characteristics in visible and near IR wavelength ranges (complex refractive index, scattering and absorption coefficients, optical depth, single scattering albedo, and asymmetry factor of the scattering phase function). The main attention in the presented version of the model is given to two aspects: The study of the effect of the size spectrum of the absorbing substance in the composition of aerosol particles on radiative-relevant parameters (the single scattering albedo (SSA) and the asymmetry factor (AF)) and the consideration of different algorithms for taking into account the relative humidity of air. The ranges of uncertainty of SSA and AF at variations in the modal radius of the absorbing fraction at different altitudes in the troposphere are estimated.

scholarly journals A Correlated Multi-Pixel Inversion Approach for Aerosol Remote Sensing

2019 ◽  
Vol 11 (7) ◽  
pp. 746 ◽  
Author(s):  
Feng Xu ◽  
David Diner ◽  
Oleg Dubovik ◽  
Yoav Schechner
Keyword(s):  
Remote Sensing ◽  
Degrees Of Freedom ◽  
Unit Length ◽  
Data Retrieval ◽  
Single Scattering ◽  
Smoothness Condition ◽  
Aerosol Model ◽  
Radiation Fields ◽  
The Difference ◽  
Aerosol Parameters

Aerosol retrieval algorithms used in conjunction with remote sensing are subject to ill-posedness. To mitigate non-uniqueness, extra constraints (in addition to observations) are valuable for stabilizing the inversion process. This paper focuses on the imposition of an empirical correlation constraint on the retrieved aerosol parameters. This constraint reflects the empirical dependency between different aerosol parameters, thereby reducing the number of degrees of freedom and enabling accelerated computation of the radiation fields associated with neighboring pixels. A cross-pixel constraint that capitalizes on the smooth spatial variations of aerosol properties was built into the original multi-pixel inversion approach. Here, the spatial smoothness condition is imposed on principal components (PCs) of the aerosol model, and on the corresponding PC weights, where the PCs are used to characterize departures from the mean. Mutual orthogonality and unit length of the PC vectors, as well as zero sum of the PC weights also impose stabilizing constraints on the retrieval. Capitalizing on the dependencies among aerosol parameters and the mutual orthogonality of PCs, a perturbation-based radiative transfer computation scheme is developed. It uses a few dominant PCs to capture the difference in the radiation fields across an imaged area. The approach is tested using 27 observations acquired by the Airborne Multiangle SpectroPolarimetric Imager (AirMSPI) during multiple NASA field campaigns and validated using collocated AERONET observations. In particular, aerosol optical depth, single scattering albedo, aerosol size, and refractive index are compared with AERONET aerosol reference data. Retrieval uncertainty is formulated by accounting for both instrumental errors and the effects of multiple types of constraints.

scholarly journals Comparison of turbulence in HII regions and molecular clouds

1991 ◽  
Vol 147 ◽  
pp. 476-479
Author(s):  
C. R. O'Dell
Keyword(s):  
Molecular Clouds ◽  
Center Of Mass ◽  
Hii Regions ◽  
Emission Lines ◽  
General Increase ◽  
Hii Region ◽  
Velocity Relation ◽  
Common Center ◽  
The One ◽  
Kolmogorov Theory

Both the HII Regions and the Molecular Clouds show broadening of their emission lines beyond that expected from thermal motion and this is ascribed to turbulence. Turbulence in molecular clouds generally agrees with a model where the velocity of motion is determined by the Alfv én velocity.Turbulence in Galactic HII Regions and Giant Extragalactic HII Regions can also be studied by the width of the emission lines. The magnitude of the turbulent velocities in these regions are characteristically about 10 km/s. There is a general increase in turbulent velocity with the size of the HII Region, and this relation is close to but different from the one third power dependence expected from the most naive application of Kolmogorov theory. When a detailed study is conducted of each Galactic HII Region by means of the structure function, one finds that there is not agreement with Kolmogorov theory.The Size-Turbulent versus Velocity relation for Galactic HII Regions differs slightly from the better defined velocity relation for Giant Extragalactic HII Regions. This difference is probably due to the fact that the larger extragalactic objects are probably complexes of multiple individual HII Regions. There is no evidence that broadening of extragalactic HII Regions is due to motion about a common center of mass.

Detection of Violence Based on Hidden Markov Model

2012 ◽  
Vol 433-440 ◽  
pp. 4651-4655
Author(s):  
Hui Qing Lu ◽  
Wei Nan Zhu ◽  
Yu Chao Zhou
Keyword(s):  
Computer Vision ◽  
Markov Model ◽  
Hidden Markov Model ◽  
Video Analysis ◽  
Hidden Markov ◽  
Center Of Mass ◽  
Normal Activity ◽  
Abnormality Detection ◽  
Video Images ◽  
The Difference

This paper proposes an intelligent video analysis technology for elevator cage abnormality detection in computer vision. By collecting, processing, and analyzing video images in real time, the feature vectors including the variation of foreground pixels, the variation of length and width of foreground region’s enclosing rectangle and the variation of foreground region’s center of mass are obtained. The background is modeled by the Codebook Subtraction algorithm，these feature data are processed via K-Means clustering to get observation sequences, which are used to model a Hidden Markov Model (HMMs) for the normal activity. Last, the abnormalities are identified by the difference, which is predetermined by observing the normal and abnormal activity testing sequences, from normal activity model

scholarly journals Circular depolarization ratios of single water droplets and finite ice circular cylinders: a modeling study

2012 ◽  
Vol 12 (9) ◽  
pp. 4207-4214 ◽  
Author(s):  
M. Nicolet ◽  
M. Schnaiter ◽  
O. Stetzer
Keyword(s):  
Polarized Light ◽  
Ice Crystals ◽  
Particle Orientation ◽  
Circular Cylinders ◽  
Cylindrical Shape ◽  
Water Droplets ◽  
Particle Detection ◽  
Phase Discrimination ◽  
The Difference ◽  
Depolarization Ratios

Abstract. Computations of the phase matrix elements for single water droplets and ice crystals in fixed orientations are presented to determine if circular depolarization δC is more accurate than linear depolarization for phase discrimination. T-matrix simulations were performed to calculate right-handed and left-handed circular depolarization ratios δ+C, respectively δ−C and to compare them with linear ones. Ice crystals are assumed to have a circular cylindrical shape where their surface-equivalent diameters range up to 5 μm. The circular depolarization ratios of ice particles were generally higher than linear depolarization and depended mostly on the particle orientation as well as their sizes. The fraction of non-detectable ice crystals (δ<0.05) was smaller considering a circular polarized light source, reaching 4.5%. However, water droplets also depolarized light circularly for scattering angles smaller than 179° and size parameters smaller than 6 at side- and backscattering regions. Differentiation between ice crystals and water droplets might be difficult for experiments performed at backscattering angles which deviate from 180° unlike LIDAR applications. Instruments exploiting the difference in the P44/P11 ratio at a scattering angle around 115° are significantly constrained in distinguishing between water and ice because small droplets with size parameters between 5 and 10 do cause very high circular depolarizations at this angle. If the absence of the liquid phase is confirmed, the use of circular depolarization in single particle detection is more sensitive and less affected by particle orientation.

scholarly journals Pyramidal ice crystal scattering phase functions and concentric halos

1996 ◽  
Vol 14 (11) ◽  
pp. 1192-1197 ◽  
Author(s):  
C. Liu ◽  
P. R. Jonas ◽  
C. P. R. Saunders
Keyword(s):  
Three Dimensional ◽  
Ice Crystals ◽  
Ice Crystal ◽  
Three Dimensional Model ◽  
Model Calculations ◽  
Scattering Phase ◽  
The Common ◽  
Scattering Phase Function ◽  
Phase Functions ◽  
Solar Angle

Abstract. Phase functions have been calculated using the Monte Carlo/geometric ray tracing method for single hexagonal pyramidal ice crystals (such as solid and hollow bullets) randomly oriented in space and horizontal plane, in order to study the concentric halo formations. Results from three dimensional model calculations show that 9° halo can be as bright as the common 22° halo for pyramidal angle of 28°, and the 18°, 20°, 24° and 35° halos cannot be seen due to the strong 22° halo domination in the scattering phase function between 18° and 35°. For solid pyramidal ice crystals randomly oriented horizontally, the 35° arc can be produced and its intensity depends on the incident ray solar angle and the particle aspect ratio.

scholarly journals Aerosol direct radiative effect in the Po Valley region derived from AERONET measurements

2008 ◽  
Vol 8 (16) ◽  
pp. 4925-4946 ◽  
Author(s):  
M. Clerici ◽  
F. Mélin
Keyword(s):  
Regional Climate ◽  
Single Scattering ◽  
Radiative Effect ◽  
Aerosol Model ◽  
Po Valley ◽  
Spatial Gradients ◽  
Clear Sky ◽  
Scattering Phase ◽  
Absorbing Aerosols ◽  
Scattering Phase Function

Abstract. The aerosol direct radiative effect (ADRE) affecting the Po Valley and the adjacent North Adriatic Sea is studied using 10-year series of measurements collected at two AERONET sites located in the western part of the Valley (Ispra), and on a platform (AAOT) offshore Venice. This region is characterized by a high, mostly continental, aerosol load with comparable average aerosol optical thickness τa at both locations (0.21 at 500 nm) and more absorbing aerosols at Ispra. A dynamic aerosol model accounting for the changes in scattering phase function with τa is used for radiative transfer calculations, together with boundary conditions representative of terrestrial and marine surfaces. A sensitivity analysis allows the construction of an error budget for the daily ADRE estimates, found to be of the order of 20% and mostly due to uncertainties on aerosol single scattering albedo and τa. The daily radiative efficiencies, normalized by τa at 500 nm, increase from December to June, from −17 to −24 W m−2 τa−1 at top-of-atmosphere (TOA) and −33 to −72 W m−2 τa−1 at surface for the Po Valley, and from −15 to −32 (TOA) and −35 to −65 W m−2 τa−1 (surface) for the AAOT site. The average of log-transformed ADRE for TOA, surface and atmosphere are −5.2, −12.2 and +6.8 W m−2 for the Po Valley case, and −6.5, −13.0 and +6.5 W m−2 for the AAOT site but these values can be much higher for individual days. Concurrent clear-sky days give indications on the regional atmospheric heating spatial gradients. Differences between the atmospheric ADRE at the two locations average 6.3 W m−2 with a gradient positive towards the inner valley in 65% of the cases. This study confirms the importance of duly considering the radiative impact of aerosols on the regional climate.

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