Single scattering from nonspherical Chebyshev particles a compendium of calculations by W. J. Wiscombe

Cover of: Single scattering from nonspherical Chebyshev particles | W. J. Wiscombe

Published by NASA .

Written in English

Read online

Edition Notes

Book details

Statementby W.J. Wiscombe and A. Mugnai.
SeriesNASA reference publication 1157
ContributionsMugnai, A., National Aeronautics and Space Administration. Scientific and Technical Information Branch.
ID Numbers
Open LibraryOL20581205M

Download Single scattering from nonspherical Chebyshev particles

Get this from a library. Single scattering from nonspherical Chebyshev particles: a compendium of calculations. [Warren J Wiscombe; Alberto Mugnai]. In this paper, we study the behavior of the scattering efficiency Qsca, the absorption efficiency Qabs, the single-scattering albedo ω, the asymmetry factor g, and the backscattered fraction for isotropically incident radiation β̅ for randomly oriented rotationally symmetric nonspherical particles of radii r = r0[1 + ∊Tn(cosθs)], where Tn is a Chebyshev polynomial of order n.

The Mie theory, however, is a poor approximation for the scattering properties of irregular particles at large scattering angles and for backscatter.

Volumes have already been printed by Springer. The volume is composed of several papers (usually, 10) of leading researchers in the respective field. The main focus of this book is light scattering, radiative transfer and optics of snow.

Category: Science. Single scattering from nonspherical Chebyshev particles: A compendium of calculations - NASA/ADS A large set of exact calculations of the scattering from a class of nonspherical particles known as Chebyshev particles' has been performed.

A large set of exact calculations of the scattering from a class of nonspherical particles known as Chebyshev particles' has been performed. Phase function and degree of polarization in Single scattering from nonspherical Chebyshev particles book.

Shape-induced variability in the scattered intensity from randomly oriented nonspherical particles is studied. A comparison is made between bands of shape-induced variability for six size intervals within the size parameter range of 1 to 20 and corresponding spherical intensities.

It is found that averaging spherical intensities over narrow size ranges produces effects that are qualitatively Cited by: The calculated angular scattering properties of over randomly oriented nonspherical Chebyshev particles are examined for the effect of three factors: size; concavity vs convexity; and amount of deformation from a sphere.

The scattering efficiency was somewhat larger for nonspherical particles, while the single-scattering albedo tended to be smaller, and concavity was shown to almost always enhance spherical-nonspherical differences.

We study shape-induced variability in the scattered intensity from randomly oriented nonspherical particles. Up to 21 different Chebyshev shapes contribute to defining a shape-induced standard deviation about each of the mean nonspherical intensity vs angle curves shown in part 2 of this series.

Bands of shape-induced variability (defined as plus and minus one standard deviation) for six size Cited by: The book opens with a foreword by the renowned H C van de Hulst, who provides an interesting historical review and perspective.

An introductory section of three chapters follows, dealing with fundamental concepts and definitions. The first of these deals with scattering by single particles and moves on to multiple scattering and radiative transfer. Get this from a library. Single scattering from nonspherical Chebyshev particles: a compendium of calculations.

[Warren J Wiscombe; Alberto Mugnai; United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch.]. calculation light scattering characteristics of nonspherical particles. The general approach to the form-factor of compound particles in the RGD approximation is discussed.

Comparison of scattering calculations for aggregated particles based on different models U. Comberg and T. Wriedt Convergence of the T-matrix approach for randomly oriented, nonabsorbing, nonspherical Chebyshev particles J.

Ding and L. Xu Projection schemes in the null field method A. Doicu, Yu. Eremin, and T. Wriedt Light scattering by nonspherical particles in the RGD approximation: Single scattering. This book is devoted applications of the Rayleigh-Gans-Debye (RGD) approximation to the calculation light scattering characteristics of nonspherical particles.

The general approach to the form-factor of compound particles in the RGD approximation is : Konstantin Shapovalov. deals with Rayleigh molecular scattering, Section summarizes the theory of scatter-ing by spherical particles (the Lorenz Mie theory), and Section addresses the scattering by nonspherical particles.

Finally, in Sectionwe discuss the main traits of single-scat. (a) Far-field electromagnetic scattering by an individual particle in the form of a single body or a fixed cluster. (b) Far-field scattering by a small volume element composed of randomly positioned, widely separated par- ticles.

(c) Multiple scattering by a layer of randomly and sparsely distributed particles. Light scattering on Chebyshev particles of higher order Article (PDF Available) in Applied Optics 45(23) September with Reads How we measure 'reads'.

Scattering properties of this two parameter family of particles have been studied extensively in the field of light scattering. Some of the Chebyshev particles at fixed volume are shown in figure 3 for and figure 4 for. The particles are symmetric with respect to the Z axis (see figure 3(a)).Cited by: 7.

In this study, we model single-scattering properties of small cirrus crystals using mixtures of polydisperse, randomly oriented spheroids and cylinders with varying aspect ratios and with a refractive index representative of water ice at a wavelength of by: This book gives a detailed overview of the theory of electromagnetic wave scattering on single, homogeneous, but nonspherical particles.

Beside the systematically developed Green’s function formalism of the first edition this second and enlarged edition contains additional material regarding group theoretical considerations for nonspherical particles with boundary symmetries, an iterative T.

for distinguishing between spherical and nonspherical particles are discussed. Mea- surements were performed at scattering angles of 40,55, 90 and " to investigate the most appropriate scattering angle for our apparatus.

Because we found 55" to be a good compromise between intensity and variability, most measurements were. Lidar measurements are often interpreted on the basis of two fundamental assumptions: absence of multiple scattering and sphericity of the particles that make up the diffusing medium.

There are situations in which neither holds true. We focus our interest on multiply-scattered returns from homogeneous layers of monodisperse, randomly oriented, axisymmetric nonspherical particles.

T 2 Chebyshev Cited by: 9. "Rapid advances have been made in our knowledge of electromagnetic scattering by nonspherical particles, and the aim of this book is to 'provide a systematic state-of-the-art summary of the field.' Thirty-one authors contributed 20 papers (each a chapter), using a consistent notation and general outline, and there is a page collective Brand: Academic Press.

Remote sensing studies and climate research require precise knowledge of the single-scattering properties of nonspherical ice crystals. Based on in situ aircraft observations (e.g., McFarquhar and Heymsfield ), the size parameter for ice crystals in cirrus clouds can range from ∼10 −1 to 10 3 at thermal infrared wavelengths (∼4– μm).).

This wide size parameter range introduces Cited by: [14] Wiscombe WJ, Mugnai A. Single scattering from nonspherical Chebyshev particles: a compendium of calculations. Washington, DC: National Aeronautics and Space Administration; [15] Barber PW, Hill SC. Light scattering by particles: computational methods.

Singapore: World Scienti c; [16] Chew WC. Waves and elds in inhomogeneous media. T-matrix computations for particles this large can be used to investigate the range of applicability of the geometric optics approximation ' in computing light scattering by nonspherical particles So far, direct comparisons of rigorous and ray tracing computations have been reported only for perfect spheres3 and infinite circular cylinders.8 Cited by:   Scattering from nonspherical Chebyshev particles.

3: Variability in angular scattering patterns. Mugnai A, Wiscombe WJ. We study shape-induced variability in the scattered intensity from randomly oriented nonspherical particles.

Up to 21 different Chebyshev shapes contribute to defining a shape-induced standard deviation about each of the mean Cited by:   The regular T-matrix codes are applicable to rotationally symmetric particles with equivalent-sphere size parameters exceeding At present, the T-matrix method is the fastest exact technique for the computation of nonspherical scattering based on a direct solution of Maxwell's T-matrix codes are orders of magnitude faster than those based on the DDA, VIEF.

Lidar measurements are often interpreted on the basis of two fundamental assumptions: absence of multiple scattering and sphericity of the particles that make up the diffusing medium. There are situations in which neither holds true. We focus our interest on multiply-scattered returns from homogeneous layers of monodisperse, randomly oriented, axisymmetric nonspherical particles.

T2 Chebyshev. Nonspherical particles are abundant in natural and artificial environments ().Furthermore, it has become universally recognized that nonsphericity (or more generally, complex morphology) of particles has a profound effect on their scattering and absorption our knowledge and understanding of how nonspherical particles scatter and absorb electromagnetic energy remains incomplete Cited by: Purchase Light Scattering by Nonspherical Particles - 1st Edition.

Print Book & E-Book. ISBNIn this chapter, we describe how electromagnetic scattering by small nonspherical particles can be computed and measured; analyze the main effects of nonsphericity on electromagnetic scattering; and discuss various implications of these effects in computations of the earth’s radiation balance and atmospheric remote by: particle based internal scattering layers for light outcoupling from organic light emitting diodes Amos Egel, Guillaume Gomard, Siegfried W Kettlitz et al.-Computational study of scattering of a zero-order Bessel beam by large nonspherical homogeneous particles with the multilevel fast multipole algorithm Minglin Yang, Yueqian Wu, Xinqing Sheng Cited by: 7.

For prolate coal particles, forward scattering is again very strong, although slightly lower than calculated with Mie-theory. For oblate coal particles, the forward scattering peak is more pronounced compared to Mie-theory calculations.

This behaviour has also been identified in the phase function of a single particle in Fig. The total Cited by: 8. Comparing light scattering properties of monodisperse particles with size parameters greater than roughly 3 is usually meaningless because of the complicated interference structure and high-frequency ripple of scattering patterns.'-" =9 As was noticed by Wiscombe and Mugnai3on the basis of their extensive calculations for monodisperse Chebyshev Cited by: [14] Wiscombe WJ, Mugnai A.

Single scattering from nonspherical Chebyshev particles: a compendium of calculations. Washington, DC: National Aeronautics and Space Administration; [15] Barber PW, Hill SC.

Light scattering by particles: computational methods. Singapore: World Scientific; [16] Chew WC. Waves and fields in File Size: KB. This book gives a detailed overview of the theory of electromagnetic wave scattering on single, homogeneous, but nonspherical particles.

A related Green’s function formalism is systematically developed which provides a powerful mathematical basis not only for the development of numerical approaches but also to discuss those general aspects like symmetry, unitarity, and the validity of Format: Hardcover.

This is the fourth volume in the series Light Scattering Reviews, devoted to current knowledge of light scattering problems and both experimental and theoretical research techniques related to their solution.

This volume covers experimental studies in the optics of light scattering media, focusing on single light scattering and radiative : Paperback.

Light Scattering by Nonspherical Particles: Theory, Measurements, and Applications - Kindle edition by Mishchenko, Michael I., Hovenier, Joachim W., Travis, Larry D. Download it once and read it on your Kindle device, PC, phones or tablets.

Use features like bookmarks, note taking and highlighting while reading Light Scattering by Nonspherical Particles: Theory, Measurements, and cturer: Academic Press.

This is the fourth volume in the series Light Scattering Reviews, devoted to current knowledge of light scattering problems and both experimental and theoretical research techniques related to their solution.

This volume covers experimental studies in the optics of light scattering media, focusing on single light scattering and radiative : Alexander A.

Kokhanovsky.An investigation of the characteristics of multiply-scattered lidar returns from homogeneous layres of nonspherical Chebyshev particles is presented. A Monte Carlo procedure has been employed to simulate lidar measurements in a ground-based configuration.

Total detected power and depolarization of the return signal have been calculated for a variety of particle sizes and deformations, as well.We present what we believe to be the first results of a light-scattering analysis on several Chebyshev particles characterized by higher orders.

Chebyshev particles of comparatively lower orders were used in the past to study the effects of nonspherical but concave geometries in remote sensing applications.

We will show that, based on the developed methodology, accurate results can also be.

34481 views Saturday, November 21, 2020