najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2022-13-1-5-11najo-208Research ArticleСтатьиAsymptotic analysis of a planar waveguide perturbed by a non periodic perforationCardoneG.giuseppe.cardone@unina.itDuranteT.tdurante@unisa.itUniversita di Napoli “Federico II”Russian FederationUniversity of SalernoRussian Federation202206062025131511Copyright © Cardone G., Durante T., 20252025Cardone G., Durante T.Cardone G., Durante T.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/208

We consider a general second order elliptic operator in a planar waveguide perforated by small holes distributed along a curve and subject to classical boundary conditions on the holes. Under weak assumptions on the perforation, we describe all possible homogenized problems.

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