Method of singular integral equations in diffraction by semi-infinite grating: $H$-polarization case

Simulation of infinite periodic graphene planar grating in the THz range by the method of singular integral equations

“…We seek the total field as a sum of the incident and scattered field. We represent the scattered field in the form of a Fourier series with unknown amplitudes a n [14,21,22,27]:…”

“…In this paper, we consider H -polarized wave diffraction by the infinite periodic graphene grating placed in the free space and above a perfectly electric conducting (PEC) plane. The numerical scheme of the solutions of the obtained SIEs is based on the Nystrom-type method of discrete singularities and has guaranteed convergence [17][18][19][20][21][22]. Complex-valued graphene conductivity σ is obtained using Kubo formalism [23,24].…”

Diffraction of H-polarized wave by planar venetian-blind type grating

“…Их появление вызвано рассеянием на краях решетки. Для дальнейшего изучения влияния края в чистом виде может быть использована модель полубесконечной структуры [8].…”

Method of singular integral equations in diffraction by semiinfinite grating: E -polarization case

“…The position of poles corresponds to the cut-off frequencies of the plane waves, which exist only in the domain φ > w q , where w q is the propagation angle of the q th plane wave relative to the y -axis. Line φ = w q acts as a shadow boundary [1][2][3]18]. Then…”

“…We exchange the infinite set of strips L by the bounded lm; d + lm). Let us quantify the correction current influence by the following value [1][2][3]: is, the larger number of interpolation nodes should be taken. The biggest error of ε N as expected is observed near the cut-off frequency of the Floquet modes.…”