2019
DOI: 10.1364/oe.27.032984
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Coherent and incoherent backscattering by a single large particle of irregular shape

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Cited by 31 publications
(10 citation statements)
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“…The results of a spaceborne lidar sounding a cirrus cloud differ slightly fro m the results obtained for the case of ground-based measurements, what, as in the previous case, can be exp lained by the high elongation in the forward direction of the scattering phase function of large ice crystals. At the same time, the contribution of mu ltip le scattering to the return signal can be higher when using in the calculations the scattering phase function obtained, for instance, by V. Shishko et al 23 in the geometric -optics approximation for 300 irregular ice particle shapes. This scattering phase function does not have a clearly defined peak in the reg ion of s mall scattering angles.…”
Section: Modeling Results: Effects Of Multiple Scatteringmentioning
confidence: 99%
“…The results of a spaceborne lidar sounding a cirrus cloud differ slightly fro m the results obtained for the case of ground-based measurements, what, as in the previous case, can be exp lained by the high elongation in the forward direction of the scattering phase function of large ice crystals. At the same time, the contribution of mu ltip le scattering to the return signal can be higher when using in the calculations the scattering phase function obtained, for instance, by V. Shishko et al 23 in the geometric -optics approximation for 300 irregular ice particle shapes. This scattering phase function does not have a clearly defined peak in the reg ion of s mall scattering angles.…”
Section: Modeling Results: Effects Of Multiple Scatteringmentioning
confidence: 99%
“…The scattering amplitude matrix of an ice crystal with a fixed orientation is defined as ()EsEs=exp(ikr)ikr[]S2S3S4S1()EiEi, $\left(\begin{array}{@{}c@{}}{\mathrm{E}}_{{\Vert} }^{s}\\ {\mathrm{E}}_{\perp }^{s}\end{array}\right)=\frac{\mathrm{exp}(ikr)}{-ikr}\left[\begin{array}{@{}cc@{}}{S}_{2}& {S}_{3}\\ {S}_{4}& {S}_{1}\end{array}\right]\left(\begin{array}{@{}c@{}}{\mathrm{E}}_{{\Vert} }^{i}\\ {\mathrm{E}}_{\perp }^{i}\end{array}\right),$ where the reciprocity relation of S 4 ( π ) = − S 3 ( π ) is satisfied at the backscattering angle. Then, the product of scattering amplitude matrix elements can be expressed in the form (Shishko et al., 2019) SmSn=jSmjSnj+jl,ljSmjSnl. ${S}_{m}{S}_{n}^{\ast }=\sum\limits _{j}{S}_{m}^{j}{S}_{n}^{j\ast }+\sum\limits _{j}\sum\limits _{l,l\ne j}{S}_{m}^{j}{S}_{n}^{l\ast }.$ …”
Section: Methodsmentioning
confidence: 99%
“…Moreover to calculate immeasurable variety of atmospheric crystals shape and size is a large problem. There is a work where the particle with average light scattering matrix elements at all direction within the geometric optics approximation was found over 400 particles with different shapes 50 . This particle shape was used in this study to reduce the number of calculations (Fig.…”
Section: Calculationsmentioning
confidence: 99%