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

S. A. Nazarov, L. Chesnel

Результат исследований: Научные публикации в периодических изданияхстатьярецензирование

Аннотация

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.

Язык оригиналаанглийский
Страницы (с-по)272-291
ЖурналSiberian Mathematical Journal
Том62
Номер выпуска2
DOI
СостояниеОпубликовано - мар 2021

Предметные области Scopus

  • Математика (все)

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