Sahar El-Naggar

Citation:

EL-NAGGAR, S. A., "Dependency of the photonic band gaps in two-dimensional metallic photonic crystals on the shapes and orientations of rods", Optical Engineering, vol. 51, issue 6, pp. 068001-1-8, 2012.

Abstract:

Photonic bands in two types of two-dimensional metallic photonic
crystals (2-D MPCs), which are composed of dielectric rods embedded
into a metallic background (type I MPCs) and metallic rods in a dielectric
background (type II MPCs), are investigated theoretically using a method
based on the frequency-dependent plane-wave expansion method. We
discuss the maximization of the normalized gap width as a function of
the rod shapes and orientations. In addition, we study the effect of dielectric
constants of the rods and the background on the width of the photonic
band gap. Four different shapes of rods—square, circular, diamond, and
rectangular—are considered. The numerical results show that the type I
MPCs have a higher normalized gap width than the type II MPCs. We
observe that the rotation of the noncircular rods in the type I MPCs
leads to a slight variation, less than 10%, in the normalized values of
the gap width in the two lattice structures. However, rotating the metallic
square rods arranged in a square lattice results in doubling of the normalized
gap width. The normalized gap width can be tailored by changing the
dielectric constant of the rods (background) in type I (type II) MPCs