In this research, we study the scattering of electromagnetic waves by a dielectric impediment in 2D geometry. The impediment is determined by an inhomogeneous component of the refractive index in the Helmholtz equation. It is assumed that the characteristic gauge of one of the two impediment sizes is much lesser than the length of waves generated by a monochromatic point source. Nevertheless, the structure of the impediment is taken into consideration in the process of calculating the scattered field. The scattered field is defined by a derived model integral equation the unique solvability of which is proved.

Translated title of the contributionМодельное уравнение рассеяния электромагнитных волн на тонких диэлектрических структурах
Original languageEnglish
Pages (from-to)621-629
Number of pages9
JournalJournal of Mathematical Sciences
Volume238
Issue number5
DOIs
StatePublished - 7 May 2019

    Scopus subject areas

  • Mathematics(all)

    Research areas

  • Modelling equation, electromagnetic waves, dielectric impediment

ID: 42900269