Almost Complete Transmission of Waves Through Perforated Cross-Walls in a Waveguide with Dirichlet Boundary Condition

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Almost Complete Transmission of Waves Through Perforated Cross-Walls in a Waveguide with Dirichlet Boundary Condition. / Nazarov, S. A.; Chesnel, L.

In: Siberian Mathematical Journal, Vol. 62, No. 2, 03.2021, p. 272-291.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{939ce823e4b740b8898d54dbdfeed791,

title = "Almost Complete Transmission of Waves Through Perforated Cross-Walls in a Waveguide with Dirichlet Boundary Condition",

abstract = "We consider a waveguide composed of two not necessity equal semi-infinite strips (trunks)and a rectangle (resonator)connected by narrow openings in the shared walls.As their diameter vanishes,we construct asymptotics for the scattering coefficients,justifying them by the technique of weighted spaces with detached asymptotics.We establish a criterion for the possibility of observing,at a given frequency, almost complete transmission of waves through both perforated cross-walls.This effect is revealed due to a fine-tuning of the resonator heightand the criterion involves an equationrelating some geometrical characteristics of the waveguideto the wave numbers in the trunks,while any mirror symmetry turns the criterion trivial.",

keywords = "almost complete transmission of waves, asymptotics of scattering coefficients, Dirichlet boundary condition, perforated cross-walls, waveguide, 517.956.8:517.956.328",

author = "Nazarov, {S. A.} and L. Chesnel",

note = "Nazarov, S.A., Chesnel, L. Almost Complete Transmission of Waves Through Perforated Cross-Walls in a Waveguide with Dirichlet Boundary Condition. Sib Math J 62, 272–291 (2021). https://doi.org/10.1134/S0037446621020087",

year = "2021",

month = mar,

doi = "10.1134/s0037446621020087",

language = "English",

volume = "62",

pages = "272--291",

journal = "Siberian Mathematical Journal",

issn = "0037-4466",

publisher = "Springer Nature",

number = "2",

}

RIS

TY - JOUR

T1 - Almost Complete Transmission of Waves Through Perforated Cross-Walls in a Waveguide with Dirichlet Boundary Condition

AU - Nazarov, S. A.

AU - Chesnel, L.

N1 - Nazarov, S.A., Chesnel, L. Almost Complete Transmission of Waves Through Perforated Cross-Walls in a Waveguide with Dirichlet Boundary Condition. Sib Math J 62, 272–291 (2021). https://doi.org/10.1134/S0037446621020087

PY - 2021/3

Y1 - 2021/3

N2 - We consider a waveguide composed of two not necessity equal semi-infinite strips (trunks)and a rectangle (resonator)connected by narrow openings in the shared walls.As their diameter vanishes,we construct asymptotics for the scattering coefficients,justifying them by the technique of weighted spaces with detached asymptotics.We establish a criterion for the possibility of observing,at a given frequency, almost complete transmission of waves through both perforated cross-walls.This effect is revealed due to a fine-tuning of the resonator heightand the criterion involves an equationrelating some geometrical characteristics of the waveguideto the wave numbers in the trunks,while any mirror symmetry turns the criterion trivial.

AB - We consider a waveguide composed of two not necessity equal semi-infinite strips (trunks)and a rectangle (resonator)connected by narrow openings in the shared walls.As their diameter vanishes,we construct asymptotics for the scattering coefficients,justifying them by the technique of weighted spaces with detached asymptotics.We establish a criterion for the possibility of observing,at a given frequency, almost complete transmission of waves through both perforated cross-walls.This effect is revealed due to a fine-tuning of the resonator heightand the criterion involves an equationrelating some geometrical characteristics of the waveguideto the wave numbers in the trunks,while any mirror symmetry turns the criterion trivial.

KW - almost complete transmission of waves

KW - asymptotics of scattering coefficients

KW - Dirichlet boundary condition

KW - perforated cross-walls

KW - waveguide

KW - 517.956.8:517.956.328

UR - http://www.scopus.com/inward/record.url?scp=85103933310&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/37b01cbf-393d-3f6e-ad7f-774b33e10258/

U2 - 10.1134/s0037446621020087

DO - 10.1134/s0037446621020087

M3 - Article

AN - SCOPUS:85103933310

VL - 62

SP - 272

EP - 291

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 2

ER -

ID: 88365998