Gain Properties of the Single Cell of a One-Dimensional Photonic Crystal with PT Symmetry

In this paper, an analysis of gain properties of a single primitive cell of a one-dimensional photonic crystal with parity–time symmetry is demonstrated for the first time. The proposed simple model makes it possible to study the transmission and amplification properties of the investigated cell mad...

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Main Authors: Piotr Witoński, Agnieszka Mossakowska-Wyszyńska, Paweł Szczepański
Format: Article
Language:English
Published: MDPI AG 2023-02-01
Series:Crystals
Subjects:
Online Access:https://www.mdpi.com/2073-4352/13/2/258
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author Piotr Witoński
Agnieszka Mossakowska-Wyszyńska
Paweł Szczepański
author_facet Piotr Witoński
Agnieszka Mossakowska-Wyszyńska
Paweł Szczepański
author_sort Piotr Witoński
collection DOAJ
description In this paper, an analysis of gain properties of a single primitive cell of a one-dimensional photonic crystal with parity–time symmetry is demonstrated for the first time. The proposed simple model makes it possible to study the transmission and amplification properties of the investigated cell made of a wide range of optical materials, taking into account the refractive index of the surrounding medium. This analysis is carried out with the use of a transfer matrix method. The obtained characteristics allow indicating the optimal size of the studied structure providing wave amplification, i.e., a transmittance greater than unity. In this case, the increase in the wave intensity in the gain layer exceeds its decrease in the loss layer. This effect is illustrated with the distributions of the electromagnetic field of waves propagating inside the cell.
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spelling doaj.art-dae09a889bee435daa6b47e7216f97f12023-11-16T19:55:41ZengMDPI AGCrystals2073-43522023-02-0113225810.3390/cryst13020258Gain Properties of the Single Cell of a One-Dimensional Photonic Crystal with PT SymmetryPiotr Witoński0Agnieszka Mossakowska-Wyszyńska1Paweł Szczepański2Institute of Microelectronics and Optoelectronics, Warsaw University of Technology, Koszykowa 75, 00-665 Warsaw, PolandInstitute of Microelectronics and Optoelectronics, Warsaw University of Technology, Koszykowa 75, 00-665 Warsaw, PolandInstitute of Microelectronics and Optoelectronics, Warsaw University of Technology, Koszykowa 75, 00-665 Warsaw, PolandIn this paper, an analysis of gain properties of a single primitive cell of a one-dimensional photonic crystal with parity–time symmetry is demonstrated for the first time. The proposed simple model makes it possible to study the transmission and amplification properties of the investigated cell made of a wide range of optical materials, taking into account the refractive index of the surrounding medium. This analysis is carried out with the use of a transfer matrix method. The obtained characteristics allow indicating the optimal size of the studied structure providing wave amplification, i.e., a transmittance greater than unity. In this case, the increase in the wave intensity in the gain layer exceeds its decrease in the loss layer. This effect is illustrated with the distributions of the electromagnetic field of waves propagating inside the cell.https://www.mdpi.com/2073-4352/13/2/258photonic crystalparity–time symmetrytransfer matrix method
spellingShingle Piotr Witoński
Agnieszka Mossakowska-Wyszyńska
Paweł Szczepański
Gain Properties of the Single Cell of a One-Dimensional Photonic Crystal with PT Symmetry
Crystals
photonic crystal
parity–time symmetry
transfer matrix method
title Gain Properties of the Single Cell of a One-Dimensional Photonic Crystal with PT Symmetry
title_full Gain Properties of the Single Cell of a One-Dimensional Photonic Crystal with PT Symmetry
title_fullStr Gain Properties of the Single Cell of a One-Dimensional Photonic Crystal with PT Symmetry
title_full_unstemmed Gain Properties of the Single Cell of a One-Dimensional Photonic Crystal with PT Symmetry
title_short Gain Properties of the Single Cell of a One-Dimensional Photonic Crystal with PT Symmetry
title_sort gain properties of the single cell of a one dimensional photonic crystal with pt symmetry
topic photonic crystal
parity–time symmetry
transfer matrix method
url https://www.mdpi.com/2073-4352/13/2/258
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