https://doi.org/10.1140/epjb/s10051-021-00260-2
Regular Article - Mesoscopic and Nanoscale Systems
EM response of right angle dielectric wedge for normal incidence
1
Department of Electronics, Quaid-i-Azam University, Islamabad, Pakistan
2
Department of Physics, Quaid-i-Azam University, Islamabad, Pakistan
Received:
23
September
2021
Accepted:
1
December
2021
Published online:
9
February
2022
The EM response of a right-angled dielectric wedge is studied theoretically when a plane wave is incident normally upon it. The solutions of Helmholtz’s wave equation for the dielectric structure are derived around the infinite dielectric-free space interface at 
as radiation modes. The dielectric-free space interface is cut to make it a dielectric wedge which is immersed in an E-polarized incident field. The incident and scattered fields are coupled around the interface at 
by Mode Matching to derive field continuity equations. These fields continuity equations are simplified by employing the orthogonal properties of the modes which reduced the problem into to a set of two simultaneous equations with an infinite number of unknowns, called mode amplitudes, which are truncated in actual numerical computation. These equations are solved simultaneously to get these mode amplitudes. The far field scattered powers in free space as well as within the wedge are calculated numerically.
© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2022
