TY - JOUR

T1 - Study of optical reflectance properties in 1D annular photonic crystal containing double negative (DNG) metamaterials

AU - Srivastava, Sanjeev K.

AU - Aghajamali, Alireza

PY - 2016/5/1

Y1 - 2016/5/1

N2 - Theoretical investigation of photonic band gaps or reflection bands in
one-dimensional annular photonic crystal (APC) containing double
negative (DNG) metamaterials and air has been presented. The proposed
structure consists of the alternate layers of dispersive DNG material
and air immersed in free space. In order to study photonic band gaps we
obtain the reflectance spectrum of the annular PC by employing the
transfer matrix method (TMM) in the cylindrical waves for both TE and TM
polarizations. In this work we study the effect of azimuthal mode number
(m) and starting radius (ρ0) on the three band gaps viz.
zero averaged refractive index (zero-nbar) gap, zero permittivity (zero-
ε) and zero permeability (zero- μ) gaps. It is found that for m
≥ 1 , zero- μ gap appears in TE mode and zero- ε gap appears
in TM mode. The width of both zero- μ and zero- ε gap increases
by increasing m values, but the enhancement of zero- μ gap is more
appreciable. Also, the effect of ρ0 on the three band
gaps (reflection bands) of annular PC structure at the given m-number
has been studied, for both TE and TM polarizations. The result shows
that in both polarizations zero- ε and zero- μ gaps decreases
when ρ0 increases, whereas zero-nbar gap remains
invariant.

AB - Theoretical investigation of photonic band gaps or reflection bands in
one-dimensional annular photonic crystal (APC) containing double
negative (DNG) metamaterials and air has been presented. The proposed
structure consists of the alternate layers of dispersive DNG material
and air immersed in free space. In order to study photonic band gaps we
obtain the reflectance spectrum of the annular PC by employing the
transfer matrix method (TMM) in the cylindrical waves for both TE and TM
polarizations. In this work we study the effect of azimuthal mode number
(m) and starting radius (ρ0) on the three band gaps viz.
zero averaged refractive index (zero-nbar) gap, zero permittivity (zero-
ε) and zero permeability (zero- μ) gaps. It is found that for m
≥ 1 , zero- μ gap appears in TE mode and zero- ε gap appears
in TM mode. The width of both zero- μ and zero- ε gap increases
by increasing m values, but the enhancement of zero- μ gap is more
appreciable. Also, the effect of ρ0 on the three band
gaps (reflection bands) of annular PC structure at the given m-number
has been studied, for both TE and TM polarizations. The result shows
that in both polarizations zero- ε and zero- μ gaps decreases
when ρ0 increases, whereas zero-nbar gap remains
invariant.

KW - Annular photonic crystal

KW - Circular photonic crystal

KW - Cylindrical Bragg waves

KW - Double negative materials

KW - Metamaterials

KW - Reflectance spectra

KW - Transfer matrix method

U2 - 10.1016/j.physb.2016.01.036

DO - 10.1016/j.physb.2016.01.036

M3 - Article

VL - 489

SP - 67

EP - 72

JO - Physica B: Physics of Condensed Matter

JF - Physica B: Physics of Condensed Matter

ER -