Machine learning for modelling band structure properties
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F25%3A00387035" target="_blank" >RIV/68407700:21230/25:00387035 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.61782/fa.2025.0539" target="_blank" >http://dx.doi.org/10.61782/fa.2025.0539</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.61782/fa.2025.0539" target="_blank" >10.61782/fa.2025.0539</a>
Alternative languages
Result language
angličtina
Original language name
Machine learning for modelling band structure properties
Original language description
Although there are various analytical approaches and numerical methods for solving sonic crystal problems, analytical expressions for modelling the band structure properties are limited to a few special cases. The access to a numerical model offers a solid foundation for data-driven discovery. In our approach, we employed the Webster equation for the unit cell and Floquet-Bloch theory for periodic structures, with the waveguide parametrized by cubic splines. To extract analytical formulae linking the waveguide geometry to the corresponding dispersion relation, we applied methods of physics-informed machine learning, such as coordinate transformation and symbolic regression. These results provide a deeper understanding of the underlying principles and serve as an efficient alternative to computationally demanding numerical optimization. Moving toward a Schroedinger-like equation and parametrization by Gaussian curvature allows for a more multiphysical approach, yet it also presents challenges related to the feasibility limits of the geometry.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10307 - Acoustics
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Proceedings of the 11th Convention of the European Acoustics Association Forum Acusticum / EuroNoise 2025
ISBN
978-84-87985-35-5
ISSN
3005-7124
e-ISSN
3005-7124
Number of pages
3
Pages from-to
5287-5289
Publisher name
European Acoustics Association
Place of publication
Madrid
Event location
Malaga
Event date
Jun 23, 2025
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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