Far-field sensitivity to local boundary perturbations in 2D wave scattering

E. García Neefjes; S. C. Hawkins

doi:10.21914/anziamproc.v66.19625

Far-field sensitivity to local boundary perturbations in 2D wave scattering

E. García Neefjes, S. C. Hawkins

School of Mathematical and Physical Sciences

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

Abstract

We numerically investigate the sensitivity of the scattered wave field to perturbations in the shape of a 2D sound-soft scattering body
illuminated by an incident plane wave. This study is motivated by recent work on the inverse problem of reconstructing a scatterer shape from measurements of the scattered wave at large distances from the scatterer. For this purpose we consider star-shaped scatterers represented using cubic splines, and our approach is based on a Nyström method-based discretisation of the shape derivative. Using singular value decomposition, we identify fundamental geometric modes that most strongly influence the scattered wave, providing insight into the most visible boundary features in scattering data.

Original language	English
Title of host publication	CTAC 2024
Subtitle of host publication	Proceedings of the 22nd Biennial Computational Techniques and Applications Conference
Editors	Ricardo Ruiz Baier, Bishnu Lamichhane, Quoc Thong Le Gia, Judy Bunder
Place of Publication	Melbourne
Publisher	Australian Mathematical Society
Pages	C116-C129
Number of pages	14
DOIs	https://doi.org/10.21914/anziamproc.v66.19625
Publication status	Published - 8 Dec 2025
Event	Biennial Computational Techniques and Applications Conference (22nd : 2024) - Melbourne, Australia Duration: 19 Nov 2024 → 22 Nov 2024

Publication series

Name	The Proceedings of ANZIAM
Volume	66
ISSN (Electronic)	1445-8810

Conference

Conference	Biennial Computational Techniques and Applications Conference (22nd : 2024)
Country/Territory	Australia
City	Melbourne
Period	19/11/24 → 22/11/24

Keywords

waves
sensitivity
fréchet derivative
svd

Access to Document

10.21914/anziamproc.v66.19625

https://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/19625

Cite this

Neefjes, E. G., & Hawkins, S. C. (2025). Far-field sensitivity to local boundary perturbations in 2D wave scattering. In R. R. Baier, B. Lamichhane, Q. T. L. Gia, & J. Bunder (Eds.), CTAC 2024: Proceedings of the 22nd Biennial Computational Techniques and Applications Conference (pp. C116-C129). (The Proceedings of ANZIAM; Vol. 66). Australian Mathematical Society. https://doi.org/10.21914/anziamproc.v66.19625

Neefjes, E. García ; Hawkins, S. C. / Far-field sensitivity to local boundary perturbations in 2D wave scattering. CTAC 2024: Proceedings of the 22nd Biennial Computational Techniques and Applications Conference. editor / Ricardo Ruiz Baier ; Bishnu Lamichhane ; Quoc Thong Le Gia ; Judy Bunder. Melbourne : Australian Mathematical Society, 2025. pp. C116-C129 (The Proceedings of ANZIAM).

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title = "Far-field sensitivity to local boundary perturbations in 2D wave scattering",

abstract = "We numerically investigate the sensitivity of the scattered wave field to perturbations in the shape of a 2D sound-soft scattering body illuminated by an incident plane wave. This study is motivated by recent work on the inverse problem of reconstructing a scatterer shape from measurements of the scattered wave at large distances from the scatterer. For this purpose we consider star-shaped scatterers represented using cubic splines, and our approach is based on a Nystr{\"o}m method-based discretisation of the shape derivative. Using singular value decomposition, we identify fundamental geometric modes that most strongly influence the scattered wave, providing insight into the most visible boundary features in scattering data.",

keywords = "waves, sensitivity, fr{\'e}chet derivative, svd",

author = "Neefjes, \{E. Garc{\'i}a\} and Hawkins, \{S. C.\}",

year = "2025",

month = dec,

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doi = "10.21914/anziamproc.v66.19625",

language = "English",

series = "The Proceedings of ANZIAM",

publisher = "Australian Mathematical Society",

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editor = "Baier, \{Ricardo Ruiz\} and Bishnu Lamichhane and Gia, \{Quoc Thong Le\} and Judy Bunder",

booktitle = "CTAC 2024",

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Neefjes, EG & Hawkins, SC 2025, Far-field sensitivity to local boundary perturbations in 2D wave scattering. in RR Baier, B Lamichhane, QTL Gia & J Bunder (eds), CTAC 2024: Proceedings of the 22nd Biennial Computational Techniques and Applications Conference. The Proceedings of ANZIAM, vol. 66, Australian Mathematical Society, Melbourne, pp. C116-C129, Biennial Computational Techniques and Applications Conference (22nd : 2024), Melbourne, Australia, 19/11/24. https://doi.org/10.21914/anziamproc.v66.19625

Far-field sensitivity to local boundary perturbations in 2D wave scattering. / Neefjes, E. García; Hawkins, S. C.
CTAC 2024: Proceedings of the 22nd Biennial Computational Techniques and Applications Conference. ed. / Ricardo Ruiz Baier; Bishnu Lamichhane; Quoc Thong Le Gia; Judy Bunder. Melbourne: Australian Mathematical Society, 2025. p. C116-C129 (The Proceedings of ANZIAM; Vol. 66).

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

TY - GEN

T1 - Far-field sensitivity to local boundary perturbations in 2D wave scattering

AU - Neefjes, E. García

AU - Hawkins, S. C.

PY - 2025/12/8

Y1 - 2025/12/8

N2 - We numerically investigate the sensitivity of the scattered wave field to perturbations in the shape of a 2D sound-soft scattering body illuminated by an incident plane wave. This study is motivated by recent work on the inverse problem of reconstructing a scatterer shape from measurements of the scattered wave at large distances from the scatterer. For this purpose we consider star-shaped scatterers represented using cubic splines, and our approach is based on a Nyström method-based discretisation of the shape derivative. Using singular value decomposition, we identify fundamental geometric modes that most strongly influence the scattered wave, providing insight into the most visible boundary features in scattering data.

AB - We numerically investigate the sensitivity of the scattered wave field to perturbations in the shape of a 2D sound-soft scattering body illuminated by an incident plane wave. This study is motivated by recent work on the inverse problem of reconstructing a scatterer shape from measurements of the scattered wave at large distances from the scatterer. For this purpose we consider star-shaped scatterers represented using cubic splines, and our approach is based on a Nyström method-based discretisation of the shape derivative. Using singular value decomposition, we identify fundamental geometric modes that most strongly influence the scattered wave, providing insight into the most visible boundary features in scattering data.

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KW - sensitivity

KW - fréchet derivative

KW - svd

UR - https://journal.austms.org.au/ojs/index.php/ANZIAMJ/issue/view/160

UR - http://purl.org/au-research/grants/arc/DP220102243

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DO - 10.21914/anziamproc.v66.19625

M3 - Conference proceeding contribution

T3 - The Proceedings of ANZIAM

SP - C116-C129

BT - CTAC 2024

A2 - Baier, Ricardo Ruiz

A2 - Lamichhane, Bishnu

A2 - Gia, Quoc Thong Le

A2 - Bunder, Judy

PB - Australian Mathematical Society

CY - Melbourne

T2 - Biennial Computational Techniques and Applications Conference (22nd : 2024)

Y2 - 19 November 2024 through 22 November 2024

ER -

Neefjes EG, Hawkins SC. Far-field sensitivity to local boundary perturbations in 2D wave scattering. In Baier RR, Lamichhane B, Gia QTL, Bunder J, editors, CTAC 2024: Proceedings of the 22nd Biennial Computational Techniques and Applications Conference. Melbourne: Australian Mathematical Society. 2025. p. C116-C129. (The Proceedings of ANZIAM). doi: 10.21914/anziamproc.v66.19625

Far-field sensitivity to local boundary perturbations in 2D wave scattering

Abstract

Publication series

Conference

Keywords

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DP22: Advanced Bayesian Inversion Algorithms for Wave Propagation

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Far-field sensitivity to local boundary perturbations in 2D wave scattering

Abstract

Publication series

Conference

Keywords

Access to Document

Other files and links

Fingerprint

Projects

DP22: Advanced Bayesian Inversion Algorithms for Wave Propagation

Cite this