Multiple scattering and diffusion of scalar coherent waves in a group of small spheroidal particles with random orientations
In this manuscript we study multiple scattering and diffusion of scalar wave in a group of monodisperse spheroidal particles with random orientations. We begin by fixing a spheroid in a prolate spheroidal coordinate system, and attain the expansion of the scalar Green's function in this space....
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| creator | Ren, Mingyuan Qiao, Yajing Zhou, Ning Gong, Jianrui Zhou, Yang Zhang, Yu |
| description | In this manuscript we study multiple scattering and diffusion of scalar wave
in a group of monodisperse spheroidal particles with random orientations. We
begin by fixing a spheroid in a prolate spheroidal coordinate system, and
attain the expansion of the scalar Green's function in this space. The
expansion is firstly based on spheroidal wave functions, and then we transform
it into the expansion of spherical wave functions. Next, we average the Green's
function over the orientations of the spheroid to get the averaged transition
operator. Finally, we calculate the transport mean free path and anisotropy
factor for the spheroidal particles group, based on the irreducible vertex in
the Bethe-Salpeter equation. The approaches to get the average transition
operator and the mean free paths in this manuscript will be of benefit to the
research area of multiple scattering by non-spherical particles. |
| doi_str_mv | 10.48550/arxiv.2407.05567 |
| format | Article |
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in a group of monodisperse spheroidal particles with random orientations. We
begin by fixing a spheroid in a prolate spheroidal coordinate system, and
attain the expansion of the scalar Green's function in this space. The
expansion is firstly based on spheroidal wave functions, and then we transform
it into the expansion of spherical wave functions. Next, we average the Green's
function over the orientations of the spheroid to get the averaged transition
operator. Finally, we calculate the transport mean free path and anisotropy
factor for the spheroidal particles group, based on the irreducible vertex in
the Bethe-Salpeter equation. The approaches to get the average transition
operator and the mean free paths in this manuscript will be of benefit to the
research area of multiple scattering by non-spherical particles.</description><identifier>DOI: 10.48550/arxiv.2407.05567</identifier><language>eng</language><subject>Physics - Optics</subject><creationdate>2024-07</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2407.05567$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2407.05567$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Ren, Mingyuan</creatorcontrib><creatorcontrib>Qiao, Yajing</creatorcontrib><creatorcontrib>Zhou, Ning</creatorcontrib><creatorcontrib>Gong, Jianrui</creatorcontrib><creatorcontrib>Zhou, Yang</creatorcontrib><creatorcontrib>Zhang, Yu</creatorcontrib><title>Multiple scattering and diffusion of scalar coherent waves in a group of small spheroidal particles with random orientations</title><description>In this manuscript we study multiple scattering and diffusion of scalar wave
in a group of monodisperse spheroidal particles with random orientations. We
begin by fixing a spheroid in a prolate spheroidal coordinate system, and
attain the expansion of the scalar Green's function in this space. The
expansion is firstly based on spheroidal wave functions, and then we transform
it into the expansion of spherical wave functions. Next, we average the Green's
function over the orientations of the spheroid to get the averaged transition
operator. Finally, we calculate the transport mean free path and anisotropy
factor for the spheroidal particles group, based on the irreducible vertex in
the Bethe-Salpeter equation. The approaches to get the average transition
operator and the mean free paths in this manuscript will be of benefit to the
research area of multiple scattering by non-spherical particles.</description><subject>Physics - Optics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNqFjrEOgjAURbs4GPUDnHw_IKKCuBuNi5s7eYECLylt81pAEz_eQtyd7nBPTo4Q630cJec0jXfIL-qjQxJnUZymp2wuPo9OebJKgivQe8mka0BdQklV1TkyGkw1fgoZCtNIltrDgL10QBoQajadnZgWlQJnA2KoRAUW2VOhAjiQb4CD1bRgmIIBfTC7pZhVqJxc_XYhNrfr83LfTp25ZWqR3_nYm0-9x__EF6W8TiA</recordid><startdate>20240707</startdate><enddate>20240707</enddate><creator>Ren, Mingyuan</creator><creator>Qiao, Yajing</creator><creator>Zhou, Ning</creator><creator>Gong, Jianrui</creator><creator>Zhou, Yang</creator><creator>Zhang, Yu</creator><scope>GOX</scope></search><sort><creationdate>20240707</creationdate><title>Multiple scattering and diffusion of scalar coherent waves in a group of small spheroidal particles with random orientations</title><author>Ren, Mingyuan ; Qiao, Yajing ; Zhou, Ning ; Gong, Jianrui ; Zhou, Yang ; Zhang, Yu</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_2407_055673</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Physics - Optics</topic><toplevel>online_resources</toplevel><creatorcontrib>Ren, Mingyuan</creatorcontrib><creatorcontrib>Qiao, Yajing</creatorcontrib><creatorcontrib>Zhou, Ning</creatorcontrib><creatorcontrib>Gong, Jianrui</creatorcontrib><creatorcontrib>Zhou, Yang</creatorcontrib><creatorcontrib>Zhang, Yu</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Ren, Mingyuan</au><au>Qiao, Yajing</au><au>Zhou, Ning</au><au>Gong, Jianrui</au><au>Zhou, Yang</au><au>Zhang, Yu</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Multiple scattering and diffusion of scalar coherent waves in a group of small spheroidal particles with random orientations</atitle><date>2024-07-07</date><risdate>2024</risdate><abstract>In this manuscript we study multiple scattering and diffusion of scalar wave
in a group of monodisperse spheroidal particles with random orientations. We
begin by fixing a spheroid in a prolate spheroidal coordinate system, and
attain the expansion of the scalar Green's function in this space. The
expansion is firstly based on spheroidal wave functions, and then we transform
it into the expansion of spherical wave functions. Next, we average the Green's
function over the orientations of the spheroid to get the averaged transition
operator. Finally, we calculate the transport mean free path and anisotropy
factor for the spheroidal particles group, based on the irreducible vertex in
the Bethe-Salpeter equation. The approaches to get the average transition
operator and the mean free paths in this manuscript will be of benefit to the
research area of multiple scattering by non-spherical particles.</abstract><doi>10.48550/arxiv.2407.05567</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Physics - Optics |
| title | Multiple scattering and diffusion of scalar coherent waves in a group of small spheroidal particles with random orientations |
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