Scattering of a longitudinal Bessel beam by a sphere embedded in an isotropic elastic solid
The scattering of a longitudinal Bessel beam of arbitrary order by a sphere embedded in an isotropic solid matrix is theoretically analyzed. The spherical inclusion can be made of a viscoelastic, elastic, or fluid-filled isotropic material. In the analysis, the absorbing, scattering, and extinction...
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Published in | The Journal of the Acoustical Society of America Vol. 142; no. 5; p. 2881 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
United States
01.11.2017
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Abstract | The scattering of a longitudinal Bessel beam of arbitrary order by a sphere embedded in an isotropic solid matrix is theoretically analyzed. The spherical inclusion can be made of a viscoelastic, elastic, or fluid-filled isotropic material. In the analysis, the absorbing, scattering, and extinction efficiency factors are obtained, e.g., the corresponding power per characteristic beam intensity per sphere's cross-section area. Furthermore, the extended optical theorem, which expresses the extinction efficiency in terms of an integral of the longitudinal scattering function is derived. Several features of zeroth- and first-order Bessel beams scattering in solids are illustrated considering a polymer adhesive (cured) sphere embedded in a stainless steel matrix. For instance, omnidirectional scattering can be achieved by choosing specific values of the half-cone angle of the Bessel beam, which is the beam's geometrical parameter. Additionally, it is demonstrated that mode suppression leads to lower absorption inside the inclusion when compared to plane wave scattering results. |
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AbstractList | The scattering of a longitudinal Bessel beam of arbitrary order by a sphere embedded in an isotropic solid matrix is theoretically analyzed. The spherical inclusion can be made of a viscoelastic, elastic, or fluid-filled isotropic material. In the analysis, the absorbing, scattering, and extinction efficiency factors are obtained, e.g., the corresponding power per characteristic beam intensity per sphere's cross-section area. Furthermore, the extended optical theorem, which expresses the extinction efficiency in terms of an integral of the longitudinal scattering function is derived. Several features of zeroth- and first-order Bessel beams scattering in solids are illustrated considering a polymer adhesive (cured) sphere embedded in a stainless steel matrix. For instance, omnidirectional scattering can be achieved by choosing specific values of the half-cone angle of the Bessel beam, which is the beam's geometrical parameter. Additionally, it is demonstrated that mode suppression leads to lower absorption inside the inclusion when compared to plane wave scattering results. |
Author | Lopes, J H Leão-Neto, J P Silva, G T |
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BackLink | https://www.ncbi.nlm.nih.gov/pubmed/29195480$$D View this record in MEDLINE/PubMed |
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CitedBy_id | crossref_primary_10_1016_j_ijsolstr_2021_03_016 crossref_primary_10_1016_j_jqsrt_2019_04_004 crossref_primary_10_1016_j_jqsrt_2020_107117 crossref_primary_10_1121_10_0001016 crossref_primary_10_1121_10_0005625 |
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Title | Scattering of a longitudinal Bessel beam by a sphere embedded in an isotropic elastic solid |
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