Structure of lidar return from sea water in a small-angle multiple scattering approximation

1999 ◽  
Author(s):  
Victor V. Veretennikov
Keyword(s):  
Multiple Scattering ◽  
Small Angle ◽  
Sea Water ◽  
Scattering Approximation ◽  
Lidar Return

Characterization of alumina powder using multiple small-angle neutron scattering. I. Theory

1985 ◽  
Vol 18 (6) ◽  
pp. 467-472 ◽  
Author(s):  
N. F. Berk ◽  
K. A. Hardman-Rhyne
Keyword(s):  
Particle Size ◽  
Phase Shift ◽  
Neutron Scattering ◽  
Multiple Scattering ◽  
Small Angle ◽  
Small Angle Neutron Scattering ◽  
Volume Fraction ◽  
Scattering Data ◽  
Alumina Powder ◽  
Beam Broadening

Microstructural parameters of high-purity alumina powder are determined quantitatively throughout the bulk of the material using small-angle neutron scattering techniques. A unified theoretical and experimental approach for analyzing multiple scattering data is developed to obtain values for particle size, volume fraction and surface area. It is shown how particle size and volume fraction can be measured in a practical way from SANS data totally dominated by incoherent multiple scattering (`beam broadening'). The general phase-shift dependence of single-particle scattering is incorporated into the multiple scattering formalism, and it is also shown that the diffractive limit (small phase shift) applies even for phase shifts as large as unity (particle radii of order 1 μm). The stability of the Porod law against multiple scattering and the phase-shift scale are described, a useful empirical formula for analysis of beam broadening data is exhibited, and the applicability of the formulations to polydispersed systems is discussed.

Backscattered pulse shape due to small-angle multiple scattering in random media

Radio Science ◽  
1980 ◽  
Vol 15 (1) ◽  
pp. 87-93 ◽  
Author(s):  
Akira Ishimaru ◽  
Kirk J. Painter
Keyword(s):  
Multiple Scattering ◽  
Small Angle ◽  
Pulse Shape ◽  
Random Media

Fast Lidar and Radar Multiple-Scattering Models. Part I: Small-Angle Scattering Using the Photon Variance–Covariance Method

2008 ◽  
Vol 65 (12) ◽  
pp. 3621-3635 ◽  
Author(s):  
Robin J. Hogan
Keyword(s):  
Multiple Scattering ◽  
Small Angle ◽  
Wide Angle ◽  
Photon Distribution ◽  
Spatial Variance ◽  
Angle Scattering ◽  
Photon Direction ◽  
Small Footprint ◽  
Scattering Phase ◽  
Scattering Phase Function

Abstract A fast, approximate method is described for the calculation of the intensity of multiply scattered lidar returns from clouds. At each range gate it characterizes the outgoing photon distribution by its spatial variance, the variance of photon direction, and the covariance of photon direction and position. The result is that for an N-point profile the calculation is O(N) efficient yet it implicitly includes all orders of scattering, in contrast with the O(Nm/m!) efficiency of models that explicitly consider each scattering order separately for truncation at m-order scattering. It is also shown how the shape of the scattering phase function near 180° may be taken into account for both liquid water droplets and ice particles. The model considers only multiple scattering due to small-angle forward-scattering events, which is suitable for most ground-based and airborne lidars because of their small footprint on the cloud. For spaceborne lidar, it must be used in combination with the wide-angle multiple scattering model described in Part II of this two-part paper.

Classical gravitational bremsstrahlung in R2-gravity

2014 ◽  
Vol 29 (28) ◽  
pp. 1450145 ◽  
Author(s):  
A. Ajabshirizadeh ◽  
A. Jahan ◽  
B. Nadiri Niri
Keyword(s):  
Energy Loss ◽  
Small Angle ◽  
Charged Particles ◽  
Small Angle Scattering ◽  
Gravitational Energy ◽  
Classical Formula ◽  
Scattering Approximation ◽  
Angle Scattering

The R2-gravity contribution to the gravitational energy loss in a classical scattering of two charged particles is calculated using the classical formula of the quadrupole radiation, assuming the small angle scattering approximation.

Lateral displacement in small angle multiple scattering

1982 ◽  
Vol 27 (7) ◽  
pp. 959-961 ◽  
Author(s):  
H Bichsel ◽  
K M Hanson ◽  
M E Schillaci
Keyword(s):  
Multiple Scattering ◽  
Small Angle ◽  
Lateral Displacement
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