Modelling and validating average waves in random particulate materials

Artur Gower; Gerhard Kristensson; Stuart Hawkins

Modelling and validating average waves in random particulate materials

Artur Gower, Gerhard Kristensson, Stuart Hawkins

School of Mathematical and Physical Sciences

Research output: Chapter in Book/Report/Conference proceeding › Conference abstract

Abstract

When you measure the scattered field from a material filled with randomly placed particles, you will have to perform the measurement many times, and then take the average, to get a repeatable result. How then do you relate this average measurement to the particles? Here we show how to mathematical model this average scattering, and present results on validating these models against heavier Monte Carlo simulations. The recent breakthrough that has enabled us to achieve a broadband numerical validation of the theory is that we now have rigorous models for scattering from a sphere filled with particles. A sphere, in contrast to a plate or halfspace, filled with particles can be easily simulated with a Monte Carlo approach.

Original language	English
Title of host publication	WAVES 2022 : The 15th International Conference on Mathematical and Numerical Aspects of Wave Propagation
Subtitle of host publication	Book of Abstracts
Place of Publication	Paris
Publisher	ENSTA Paris
Pages	376-377
Number of pages	2
Publication status	Published - 2022
Event	The 15th International Conference on Mathematical and Numerical Aspects of Wave Propagation - Paris, France Duration: 24 Jul 2022 → 29 Jul 2022

Conference

Conference	The 15th International Conference on Mathematical and Numerical Aspects of Wave Propagation
Country/Territory	France
City	Paris
Period	24/07/22 → 29/07/22

Keywords

multiple scattering
random media
particulate
pair correlation

Access to Document

https://uma.ensta-paris.fr/var/files/modave/WAVES2022-BookAbstract-20220717.pdf

Cite this

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title = "Modelling and validating average waves in random particulate materials",

abstract = "When you measure the scattered field from a material filled with randomly placed particles, you will have to perform the measurement many times, and then take the average, to get a repeatable result. How then do you relate this average measurement to the particles? Here we show how to mathematical model this average scattering, and present results on validating these models against heavier Monte Carlo simulations. The recent breakthrough that has enabled us to achieve a broadband numerical validation of the theory is that we now have rigorous models for scattering from a sphere filled with particles. A sphere, in contrast to a plate or halfspace, filled with particles can be easily simulated with a Monte Carlo approach.",

keywords = "multiple scattering, random media, particulate, pair correlation",

author = "Artur Gower and Gerhard Kristensson and Stuart Hawkins",

year = "2022",

language = "English",

pages = "376--377",

booktitle = "WAVES 2022 : The 15th International Conference on Mathematical and Numerical Aspects of Wave Propagation",

publisher = "ENSTA Paris",

note = "The 15th International Conference on Mathematical and Numerical Aspects of Wave Propagation ; Conference date: 24-07-2022 Through 29-07-2022",

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Gower, A, Kristensson, G & Hawkins, S 2022, Modelling and validating average waves in random particulate materials. in WAVES 2022 : The 15th International Conference on Mathematical and Numerical Aspects of Wave Propagation: Book of Abstracts. ENSTA Paris, Paris, pp. 376-377, The 15th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Paris, France, 24/07/22. <https://uma.ensta-paris.fr/var/files/modave/WAVES2022-BookAbstract-20220717.pdf>

Modelling and validating average waves in random particulate materials. / Gower, Artur; Kristensson, Gerhard; Hawkins, Stuart.
WAVES 2022 : The 15th International Conference on Mathematical and Numerical Aspects of Wave Propagation: Book of Abstracts. Paris: ENSTA Paris, 2022. p. 376-377.

Research output: Chapter in Book/Report/Conference proceeding › Conference abstract

TY - CHAP

T1 - Modelling and validating average waves in random particulate materials

AU - Gower, Artur

AU - Kristensson, Gerhard

AU - Hawkins, Stuart

PY - 2022

Y1 - 2022

N2 - When you measure the scattered field from a material filled with randomly placed particles, you will have to perform the measurement many times, and then take the average, to get a repeatable result. How then do you relate this average measurement to the particles? Here we show how to mathematical model this average scattering, and present results on validating these models against heavier Monte Carlo simulations. The recent breakthrough that has enabled us to achieve a broadband numerical validation of the theory is that we now have rigorous models for scattering from a sphere filled with particles. A sphere, in contrast to a plate or halfspace, filled with particles can be easily simulated with a Monte Carlo approach.

AB - When you measure the scattered field from a material filled with randomly placed particles, you will have to perform the measurement many times, and then take the average, to get a repeatable result. How then do you relate this average measurement to the particles? Here we show how to mathematical model this average scattering, and present results on validating these models against heavier Monte Carlo simulations. The recent breakthrough that has enabled us to achieve a broadband numerical validation of the theory is that we now have rigorous models for scattering from a sphere filled with particles. A sphere, in contrast to a plate or halfspace, filled with particles can be easily simulated with a Monte Carlo approach.

KW - multiple scattering

KW - random media

KW - particulate

KW - pair correlation

M3 - Conference abstract

SP - 376

EP - 377

BT - WAVES 2022 : The 15th International Conference on Mathematical and Numerical Aspects of Wave Propagation

PB - ENSTA Paris

CY - Paris

T2 - The 15th International Conference on Mathematical and Numerical Aspects of Wave Propagation

Y2 - 24 July 2022 through 29 July 2022

ER -

Modelling and validating average waves in random particulate materials

Abstract

Conference

Keywords

Access to Document

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