najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2021-12-2-151-155najo-352Research ArticleMATHEMATICSМАТЕМАТИКАOn the choice of parameters for a model of small windowО выборе параметров модели малого окнаMelikhovaA. S.MelikhovaA. S.

Kroverkskiy pr. 49, St. Petersburg, 197101

Kroverkskiy pr. 49, St. Petersburg, 197101

alina.s.melikhova@gmail.comFaleevaM. P.FaleevaM. P.

Kroverkskiy pr. 49, St. Petersburg, 197101

Kroverkskiy pr. 49, St. Petersburg, 197101

faleeva.masha@gmail.comPopovI. Y.PopovI. Y.

Kroverkskiy pr. 49, St. Petersburg, 197101

Kroverkskiy pr. 49, St. Petersburg, 197101

popov1955@gmail.comITMO UniversityITMO University202128072025122151155Copyright © Melikhova A.S., Faleeva M.P., Popov I.Y., 20252025Melikhova A.S., Faleeva M.P., Popov I.Y.Melikhova A.S., Faleeva M.P., Popov I.Y.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/352

Scattering of plane waves and Gaussian beams by a screen with small opening is considered. The asymptotics far from the obstacle is obtained.

The results can be useful for description of perforated nanolayers and for fitting the model based on the operator extensions theory.

Рассмотрено рассеяние плоских волн и гауссовых пучков экраном с малым отверстием. Получены асимптотики вдали от препятствия.

Результаты могут быть полезны для описания перфорированных нанослоев и для выбора параметров модели, основанной на теории расширений операторов.

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The authors declare that there are no conflicts of interest present.