Periodic and quasi-periodic one-dimensional extrinsically magnetized photonic crystals with robust photonic bandgaps

Amita Biswal

doi:10.1364/AO.502541

Applied Optics
Vol. 62,
Issue 30,
pp. 8197-8203
(2023)
•https://doi.org/10.1364/AO.502541

Periodic and quasi-periodic one-dimensional extrinsically magnetized photonic crystals with robust photonic bandgaps

Amita Biswal

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Amita Biswal, "Periodic and quasi-periodic one-dimensional extrinsically magnetized photonic crystals with robust photonic bandgaps," Appl. Opt. 62, 8197-8203 (2023)

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Abstract

The study of light wave transmission spectra for a one-dimensional extrinsic multilayered photonic structure is investigated by using the transfer matrix method. The photonic transmission properties of the proposed structure are analyzed for the different values of the external magnetic field, incident angles in terms of standard and oblique, and the electron concentrations of the electromagnetic wave propagation through the extrinsic quasi-periodic and periodic photonic structures. Robust and wider PBGs have appeared for several kinds of quasi-sequences. The increase in electron concentration strengthens the PBG, though it is highly affected by the collision frequency. Furthermore, various PBGs in the terahertz frequency ranges are significantly influenced by the physical entities. The terahertz region’s optical bandpass filters can be fabricated using the proposed framework. We also demonstrate that this proposed quasi-periodic multilayered architecture can be supplely controllable photonic crystals with positionable versions of the aforementioned features.

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Structure Names	Generation Number	Number of Blocks
Fibonacci	14	610
Octonacci	9	573
Dodecanacci	5	571
Periodic	-	600

Parameters	Values
External magnetic field ( $B$ )	0.25 T
Electron concentration ( $n_{e}$ )	$1.57 \times 10^{22} {c m}^{- 3}$
Effective mass of electron ( $m^{*}$ )	$0.066 m_{e}$
Static permittivity ( $ϵ_{s}$ )	12.9
Angle of incidence ( $θ_{0}$ )	0°
Plasma frequency ( $ω_{p}$ )	0.707 THz
Electron mass ( $m_{e}$ )	$9.1 \times 10^{- 31} K g$
Vacuum permittivity ( $ϵ_{0}$ )	$8.854 \times 10^{- 12} C^{2} N^{- 1} m^{- 2}$
Layer thickness of $A$ ( $d_{A}$ )	$0.6 a$
Layer thickness of $B$ ( $d_{B}$ )	$0.2 a$
Spatial periodicity (a)	0.8 mm

Names	1st PBG	2nd PBG	3rd PBG	4th PBG
Fibonacci	0.68 THz	0.82 THz	1.18 THz	-
Octonacci	0.84 THz	0.9 THz	1.17 THz	-
Dodecanacci	0.68 THz	0.84 THz	0.98 THz	1.18 THz
Periodic	0.5 THz	0.68 THz	0.84 THz	1.16 THz

Structure Names	Generation Number	Number of Blocks
Fibonacci	14	610
Octonacci	9	573
Dodecanacci	5	571
Periodic	-	600

Parameters	Values
External magnetic field ( $B$ )	0.25 T
Electron concentration ( $n_{e}$ )	$1.57 \times 10^{22} {c m}^{- 3}$
Effective mass of electron ( $m^{*}$ )	$0.066 m_{e}$
Static permittivity ( $ϵ_{s}$ )	12.9
Angle of incidence ( $θ_{0}$ )	0°
Plasma frequency ( $ω_{p}$ )	0.707 THz
Electron mass ( $m_{e}$ )	$9.1 \times 10^{- 31} K g$
Vacuum permittivity ( $ϵ_{0}$ )	$8.854 \times 10^{- 12} C^{2} N^{- 1} m^{- 2}$
Layer thickness of $A$ ( $d_{A}$ )	$0.6 a$
Layer thickness of $B$ ( $d_{B}$ )	$0.2 a$
Spatial periodicity (a)	0.8 mm

Arrangement of Blocks for Fibonacci Generation Scheme
$S_{0} = B$
$S_{1} = A$
$S_{2} = A B$
$S_{3} = ABA$
$S_{4} = ABAAB$
$S_{5} = ABAABABA$
$S_{6} = ABAABABAABAAB$
$S_{7} = ABAABABAABAABABAABABA$
$\dots \dots .$

Arrangement of Blocks for Octonacci Generation Scheme
$S_{1} = A$
$S_{2} = B$
$S_{3} = BAB$
$S_{4} = BABBBAB$
$S_{5} = BABBBABBABBABBBAB$
$S_{6} = BABBBABBABBABBBABBABBBABBABBBABBABBABBBAB$
$\dots \dots .$

Arrangement of Blocks for Dodecanacci Generation Scheme
$S_{1} = AAB$
$S_{2} = AAABAAABAAB$
$S_{3} = AAABAAABAAABAABAAABAAABAAABAABAAABAAABAAB$
$S_{4} = AAAABAAABAABAAABAAABAAABAABAAABAAABAAABAA$
$BAAAAABAAABAAABAAABAABAAABAAABAAABAABAAABAAAB$
$AABAAABAAABAAABAABAAABAAABAAABAABAAABAAABAAB$
$\dots \dots .$

Arrangement of Blocks for Fibonacci Generation Scheme
$S_{0} = B$
$S_{1} = A$
$S_{2} = A B$
$S_{3} = ABA$
$S_{4} = ABAAB$
$S_{5} = ABAABABA$
$S_{6} = ABAABABAABAAB$
$S_{7} = ABAABABAABAABABAABABA$
$\dots \dots .$

Abstract

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Figures (5)

Tables (6)

Equations (6)

Applied Optics