On the <i>T</i>-matrix for thermo-visco-elastic scattering

Summary Waves in a thermo-visco-elastic medium interact with a bounded penetrable obstacle of arbitrary shape. The T-matrix for such a scattering problem connects the expansion of the incident wave in terms of regular vector spherical wavefunctions to the expansion of the scattered waves in terms of outgoing vector spherical wavefunctions. It is shown that the T-matrix is symmetric, and an algorithm for its calculation is presented.

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Publication Details

Journal
The Quarterly Journal of Mechanics and Applied Mathematics
Published
2025-01-10
DOI
https://doi.org/10.1093/qjmam/hbaf002
Primary Topic
Thermoelastic and Magnetoelastic Phenomena
Type
article
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article

On the T-matrix for thermo-visco-elastic scattering

Paul A. Martin
The Quarterly Journal of Mechanics and Applied Mathematics
Thermoelastic and Magnetoelastic Phenomena
article

On the T-matrix for thermo-visco-elastic scattering

Paul A. Martin
article en

Abstract

Summary Waves in a thermo-visco-elastic medium interact with a bounded penetrable obstacle of arbitrary shape. The T-matrix for such a scattering problem connects the expansion of the incident wave in terms of regular vector spherical wavefunctions to the expansion of the scattered waves in terms of outgoing vector spherical wavefunctions. It is shown that the T-matrix is symmetric, and an algorithm for its calculation is presented.

The Quarterly Journal of Mechanics and Applied MathematicsVol. 78(1)
Colorado School of Mines (US)
Openalex Percentile: Top 93%
Thermoelastic and Magnetoelastic Phenomena
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On the <i>T</i>-matrix for thermo-visco-elastic scattering — Paul A. Martin · The Quarterly Journal of Mechanics and Applied Mathematics (2025) | TGRS Research Map | TGRS