Open AccessSecond‐kind Fredholm integral‐equation analysis of scattering by layered dielectric gratings
Author(s) -
Tsitsas Nikolaos L.
Publication year - 2021
Publication title -
iet microwaves, antennas and propagation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.555
H-Index - 69
eISSN - 1751-8733
pISSN - 1751-8725
DOI - 10.1049/mia2.12126
Subject(s) - integral equation , fredholm integral equation , discretization , electric field integral equation , scattering , mathematical analysis , mathematics , dielectric , plane wave , optics , physics , quantum mechanics
Scattering of the E ‐polarised plane electromagnetic wave from two different but of the same‐period all‐dielectric rectangular bar gratings on substrates is analysed using a volume‐integral‐equation (VIE) method. Here, VIE is a Fredholm integral equation of the second kind with unknown function being the electric field in the gratings regions. Discretisation of the VIE is performed by applying an entire‐domain Galerkin technique. The developed algorithm possesses guaranteed convergence, provides accuracy, and is easily controlled by the order of discretisation. Numerical results for frequency‐selective reflection, manipulation of light to propagate in prescribed directions, and the ultrahigh‐ Q lattice‐modes resonances are presented and discussed.