TY - JOUR

T1 - Modelling Equation of Electromagnetic Scattering on Thin Dielectric Structures

AU - Vavilov, S. A.

AU - Lytaev, M. S.

PY - 2019/5/7

Y1 - 2019/5/7

N2 - 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.

AB - 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.

KW - Modelling equation

KW - electromagnetic waves

KW - dielectric impediment

KW - Modelling equation

KW - electromagnetic waves

KW - dielectric impediment

UR - http://www.scopus.com/inward/record.url?scp=85064597348&partnerID=8YFLogxK

U2 - 10.1007/s10958-019-04261-6

DO - 10.1007/s10958-019-04261-6

M3 - Article

VL - 238

SP - 621

EP - 629

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -