Design of Cold Plasma Based Ternary Photonic Crystal for Microwave Applications

Abstract

In this paper, we propose a Silicon/Plasma/Air ternary 1D photonic crystal, whose transmission and reflection properties have been studied. We draw the transmittance and reflectance versus frequency spectra in microwave region (GHz) for RHP Plasma based ternary PC by changing the angle of incidence for a fixed value of unit cells, magnetic field, layer thickness, collision frequency, and electron density. It is observed that with increase in angle of incidence, there is increase in photonic bandgap obtained in low and high frequency regions. With increase in angle, the photonic bandgaps shift towards higher frequencies. At angle 89° there are multiple sharp peaks of transmission are obtained. By comparing this ternary PC with a binary silicon/plasma PC, it is observed that this proposed PC has higher number of bands for smaller angles which makes them a good candidate for making multi-channel tunable filters, and for higher angle it behaves like broadband reflector. The proposed structure may also be a good candidate for many applications in making other microwave devices.

Optical fractal in cryogenic environments based on distributed feedback Bragg photonic crystals

“…One commonly used method for examining the transmission properties of photonic crystals is the transfer-matrix method (TMM) [34][35][36]39]. The TMM simulation was performed using a homemade code in MATLAB software.…”

“…By controlling its structure and periodicity, precise control and modulation of optical waves can be achieved. In optical communication systems, multi-channel filters and wavelength division multiplexers are widely used [16,[23][24][25][26][27][28][29][30][31][32][33][34][35][36].…”

Transmittance Properties of Metamaterial and Dielectric Based One‐Dimensional Ternary Periodic Structure

“…Using TMM, the characteristic matrix for a unit cell is expressed as [ 1,23 ] $$$$\begin{equation}M\left( d \right) = \mathop \prod \limits_{j = 1}^3 \left[ { \def\eqcellsep{&}\begin{array}{@{}*{2}{c}@{}} {{\rm{cos}}\,{\tau _j}}&\quad { - \frac{i}{{{\xi _j}}}{\rm{sin}}\,{\tau _j}}\\[6pt] {\mathop { - \,i\,\xi }\nolimits_{j\,} {\rm{sin}}\,{\tau _j}}&\quad {{\rm{cos}}\,{\tau _j}} \end{array} } \right]\end{equation}$$$$where $${\tau _j} = ( {\omega /c{\kern 1pt} {n_j}{d_j}} ){\rm{cos}}{\theta _j}$$, θ j is the ray angle inside layer‐ j ( j = A, B, and C layers). For the transverse electric (TE) polarization, we express introduce a parameter as, $${\xi _j} = \sqrt {{\varepsilon _j}/{\mu _j}} {\rm{cos}}\,{\theta _j}$$; and we define$${\xi _j} = \sqrt {{\mu _j}/{\varepsilon _j}} {\rm{cos}}{\theta _j}$$, for TM polarization; where $${\rm{cos}}{\theta _j} = \sqrt {1 - (\mathop n\nolimits_0^2 \mathop {\,{\rm{sin}}}\nolimits^2 \mathop \theta \nolimits_0 /\mathop n\nolimits_j^2 )} $$, is the incident angle in air whose refractive index n 0 = 1.…”

“…[15] The optical properties, including band structure and group velocity characteristics, inside a 1DPC containing negative index materials, have been analyzed using translational matrix method (TMM) by Pandey et al [16][17][18][19][20][21] Among ternary PCs, the photonic bandgap (PBG) in a ternary metal/dielectric PC was theoretically investigated at the normal incidence. [22] Kumar et al [23] have suggested multichannel filter application of a magnetized-cold-plasma based 1D ternary PC and analyzed its band tunability depending on the various parameters. Since 2019, several research articles have been published on metamaterial-based ternary PCs and with their applications in different frequency regions, including giga-hertz (GHz), tera-hertz (THz) and near-infrared (IR), and low frequency waves.…”

“…[ 22 ] Kumar et al. [ 23 ] have suggested multichannel filter application of a magnetized‐cold‐plasma based 1D ternary PC and analyzed its band tunability depending on the various parameters.…”