Asymptotic analysis of an approximate model for time harmonic waves in media with thin slots
ESAIM: M2AN, 40 1 (2006) 63-97
Published online: 2006-02-23
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Resonances through subwavelength holes: Theory, computation, and applications
Junshan Lin and Hai ZhangPhysics Reports 1170 1 (2026)
https://doi.org/10.1016/j.physrep.2026.01.005
Mathematical Theory for Electromagnetic Scattering Resonances and Field Enhancement in a Subwavelength Annular Gap
Junshan Lin, Wangtao Lu and Hai ZhangMultiscale Modeling & Simulation 21 (3) 1012 (2023)
https://doi.org/10.1137/22M1508881
Going round the bend: reflection and transmission of long waves by waveguide corners and labyrinths
P. A. MartinProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 479 (2280) (2023)
https://doi.org/10.1098/rspa.2023.0635
Acoustics of a Partially Partitioned Narrow Slit Connected to a Half-Plane: Case Study for Exponential Quasi-Bound States in the Continuum and their Resonant Excitation
Ory Schnitzer and Richard PorterSIAM Journal on Applied Mathematics 82 (4) 1387 (2022)
https://doi.org/10.1137/22M1470426
Electromagnetic field enhancement in a subwavelength rectangular open cavity
Yixian Gao, Peijun Li and Xiaokai YuanPartial Differential Equations and Applications 2 (4) (2021)
https://doi.org/10.1007/s42985-021-00108-5
Numerical Analysis of Resonances by a Slab of Subwavelength Slits by Fourier-Matching Method
Jiaxin Zhou and Wangtao LuSIAM Journal on Numerical Analysis 59 (4) 2106 (2021)
https://doi.org/10.1137/21M1397532
Approximate impedance for time-harmonic Maxwell's equations in a non planar domain with contrasted multi-thin layers
Fatima Z. Goffi, Keddour Lemrabet and Tilo ArensJournal of Mathematical Analysis and Applications 489 (1) 124141 (2020)
https://doi.org/10.1016/j.jmaa.2020.124141
Волновод с двойным пороговым резонансом на простом пороге
Sergei Aleksandrovich NazarovМатематический сборник 211 (8) 20 (2020)
https://doi.org/10.4213/sm9323
Surface waves in a channel with thin tunnels and wells at the bottom: Non-reflecting underwater topography
Lucas Chesnel, Sergei A. Nazarov and Jari TaskinenAsymptotic Analysis 118 (1-2) 81 (2020)
https://doi.org/10.3233/ASY-191556
Waveguide with double threshold resonance at a simple threshold
S. A. NazarovSbornik: Mathematics 211 (8) 1080 (2020)
https://doi.org/10.1070/SM9323
Boundary-layer effects on electromagnetic and acoustic extraordinary transmission through narrow slits
Rodolfo Brandão, Jacob R. Holley and Ory SchnitzerProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476 (2242) (2020)
https://doi.org/10.1098/rspa.2020.0444
Perfect transmission invisibility for waveguides with sound hard walls
Anne-Sophie Bonnet-Ben Dhia, Lucas Chesnel and Sergei A. NazarovJournal de Mathématiques Pures et Appliquées 111 79 (2018)
https://doi.org/10.1016/j.matpur.2017.07.020
Transfer and approximation of the impedance for time-harmonic Maxwell’s system in a planar domain with thin contrasted multi-layers
F.Z. Goffi, K. Lemrabet and T. LaadjAsymptotic Analysis 101 (1-2) 1 (2017)
https://doi.org/10.3233/ASY-161391
Scattering and Field Enhancement of a Perfect Conducting Narrow Slit
Junshan Lin and Hai ZhangSIAM Journal on Applied Mathematics 77 (3) 951 (2017)
https://doi.org/10.1137/16M1094464
Resonance Meets Homogenization
Ben SchweizerJahresbericht der Deutschen Mathematiker-Vereinigung 119 (1) 31 (2017)
https://doi.org/10.1365/s13291-016-0153-2
Scattering by a highly oscillating surface
A. Bendali and J.‐R. PoirierMathematical Methods in the Applied Sciences 38 (13) 2785 (2015)
https://doi.org/10.1002/mma.3261
The low-frequency spectrum of small Helmholtz resonators
B. SchweizerProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 471 (2174) (2015)
https://doi.org/10.1098/rspa.2014.0339
Electromagnetic Field Enhancement in Small Gaps: A Rigorous Mathematical Theory
Junshan Lin and Fernando ReitichSIAM Journal on Applied Mathematics 75 (5) 2290 (2015)
https://doi.org/10.1137/140997890
Dynamical one-dimensional models of passive piezoelectric sensors
Cédric Bellis and Sébastien ImperialeMathematics and Mechanics of Solids 19 (5) 451 (2014)
https://doi.org/10.1177/1081286512469980
Mathematical Justification of the Rayleigh Conductivity Model for Perforated Plates in Acoustics
Abderrahmane Bendali, M'Barek Fares, Estelle Piot and Sébastien TordeuxSIAM Journal on Applied Mathematics 73 (1) 438 (2013)
https://doi.org/10.1137/120867123
Field behavior near the edge of a microstrip antenna by the method of matched asymptotic expansions
A. Bendali, A. A. Makhlouf and S. TordeuxQuarterly of Applied Mathematics 69 (4) 691 (2011)
https://doi.org/10.1090/S0033-569X-2011-01256-3
High order transmission conditions for thin conductive sheets in magneto-quasistatics
Kersten Schmidt and Sébastien TordeuxESAIM: Mathematical Modelling and Numerical Analysis 45 (6) 1115 (2011)
https://doi.org/10.1051/m2an/2011009
Augmented Galerkin schemes for the numerical solution of scattering by small obstacles
X. Claeys and F. CollinoNumerische Mathematik 116 (2) 243 (2010)
https://doi.org/10.1007/s00211-010-0301-z
Matching of asymptotic expansions for waves propagation in media with thin slots II: The error estimates
Patrick Joly and Sébastien TordeuxESAIM: Mathematical Modelling and Numerical Analysis 42 (2) 193 (2008)
https://doi.org/10.1051/m2an:2008004
Matching of Asymptotic Expansions for Wave Propagation in Media with Thin Slots I: The Asymptotic Expansion
Patrick Joly and Sébastien TordeuxMultiscale Modeling & Simulation 5 (1) 304 (2006)
https://doi.org/10.1137/05064494X
A mathematical analysis of the resonance of the finite thin slots
M. Clausel, M. Duruflé, P. Joly and S. TordeuxApplied Numerical Mathematics 56 (10-11) 1432 (2006)
https://doi.org/10.1016/j.apnum.2006.03.023