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A stable, unified model for resonant Faraday cages
- Source :
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Royal Society, The, 2021, 477 (2245), pp.20200668. ⟨10.1098/rspa.2020.0668⟩, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2021, 477 (2245), pp.20200668. ⟨10.1098/rspa.2020.0668⟩, Proc Math Phys Eng Sci
- Publication Year :
- 2021
- Publisher :
- HAL CCSD, 2021.
-
Abstract
- We study some effective transmission conditions able to reproduce the effect of a periodic array of Dirichlet wires on wave propagation, in particular when the array delimits an acoustic Faraday cage able to resonate. In the study of Hewett & Hewitt (2016 Proc. R. Soc. A 472 , 20160062 ( doi:10.1098/rspa.2016.0062 )) different transmission conditions emerge from the asymptotic analysis whose validity depends on the frequency, specifically the distance to a resonance frequency of the cage. In practice, dealing with such conditions is difficult, especially if the problem is set in the time domain. In the present study, we demonstrate the validity of a simpler unified model derived in Marigo & Maurel (2016 Proc. R. Soc. A 472 , 20160068 ( doi:10.1098/rspa.2016.0068 )), where unified means valid whatever the distance to the resonance frequencies. The effectiveness of the model is discussed in the harmonic regime owing to explicit solutions. It is also exemplified in the time domain, where a formulation guaranteeing the stability of the numerical scheme has been implemented.
- Subjects :
- Asymptotic analysis
Wave propagation
General Mathematics
General Physics and Astronomy
02 engineering and technology
01 natural sciences
Dirichlet distribution
010305 fluids & plasmas
law.invention
mathematical physics
symbols.namesake
0203 mechanical engineering
law
0103 physical sciences
[SPI.NANO]Engineering Sciences [physics]/Micro and nanotechnologies/Microelectronics
Faraday cage
[PHYS]Physics [physics]
Physics
homogenized boundary conditions
[SPI.ACOU]Engineering Sciences [physics]/Acoustics [physics.class-ph]
General Engineering
thin periodic interface
Unified Model
high order homogenization
Computational physics
020303 mechanical engineering & transports
Transmission (telecommunications)
symbols
waves asymptotic analysis
Research Article
Subjects
Details
- Language :
- English
- ISSN :
- 20160062, 13645021, and 14712946
- Database :
- OpenAIRE
- Journal :
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Royal Society, The, 2021, 477 (2245), pp.20200668. ⟨10.1098/rspa.2020.0668⟩, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2021, 477 (2245), pp.20200668. ⟨10.1098/rspa.2020.0668⟩, Proc Math Phys Eng Sci
- Accession number :
- edsair.doi.dedup.....ff424ca34e2dc0454fc2ad72a5f7bfc0