Harnessing a Dielectric/Plasma Photonic Crystal as an Optical Microwave Filter: Role of Defect Layers and External Magnetic Fields

We investigate the transmittance spectrum of a multichannel filter composed of dielectric <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>A</mi><mo>)</mo>&...

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Main Authors: Hassen Dakhlaoui, Walid Belhadj, Haykel Elabidi, Najla S. Al-Shameri, Fatih Ungan, Bryan M. Wong
Format: Article
Language:English
Published: MDPI AG 2024-01-01
Series:Materials
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Online Access:https://www.mdpi.com/1996-1944/17/3/559
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author Hassen Dakhlaoui
Walid Belhadj
Haykel Elabidi
Najla S. Al-Shameri
Fatih Ungan
Bryan M. Wong
author_facet Hassen Dakhlaoui
Walid Belhadj
Haykel Elabidi
Najla S. Al-Shameri
Fatih Ungan
Bryan M. Wong
author_sort Hassen Dakhlaoui
collection DOAJ
description We investigate the transmittance spectrum of a multichannel filter composed of dielectric <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>A</mi><mo>)</mo></mrow></semantics></math></inline-formula> and plasma <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>P</mi><mo>)</mo></mrow></semantics></math></inline-formula> materials in the microwave region within the transfer matrix formalism. Two configurations of the proposed filter are studied under the influence of an applied magnetic field: (1) a periodic structure containing <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mrow><mo>(</mo><mi>A</mi><mo>/</mo><mi>P</mi><mo>)</mo></mrow><mrow><mi>N</mi></mrow></msup></mrow></semantics></math></inline-formula> unit cells surrounded by air and (2) the introduction of a second dielectric material <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>D</mi><mo>)</mo></mrow></semantics></math></inline-formula> acting as a defect layer to produce an <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>A</mi><mi>P</mi><msup><mrow><mo>)</mo></mrow><mrow><mi>N</mi><mo>/</mo><mn>2</mn></mrow></msup><mo>/</mo><mi>D</mi><mo>/</mo><mo>(</mo><mi>A</mi><mi>P</mi><msup><mrow><mo>)</mo></mrow><mrow><mi>N</mi><mo>/</mo><mn>2</mn></mrow></msup></mrow></semantics></math></inline-formula> structure. Our findings reveal that in the periodic case, the number of resonant states of the transmittance increases with number <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>N</mi></mrow></semantics></math></inline-formula>; however, the observed blue and red shifts depend on the intensity and orientation of the applied magnetic field. We present contour plots of the transmission coefficients that show the effect of the incident angle on the shifts of the photonic band gaps. Furthermore, we find that the introduction of a defect layer generates additional resonant states and merges the central resonant peak into a miniband of resonances. Moreover, we show that the number of resonant peaks and their locations can be modulated by increasing the unit cell number, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>N</mi></mrow></semantics></math></inline-formula>, as well as increasing the width of the inserted defect layer. Our proposed structures enable the design of novel photonic filters using magnetized plasma materials operating in the microwave region.
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spelling doaj.art-d11470c5a1e549c698ddcce1802c00832024-02-09T15:17:07ZengMDPI AGMaterials1996-19442024-01-0117355910.3390/ma17030559Harnessing a Dielectric/Plasma Photonic Crystal as an Optical Microwave Filter: Role of Defect Layers and External Magnetic FieldsHassen Dakhlaoui0Walid Belhadj1Haykel Elabidi2Najla S. Al-Shameri3Fatih Ungan4Bryan M. Wong5Nanomaterials Technology Unit, Basic and Applied Scientific Research Center (BASRC), Physics Department, College of Science of Dammam, Imam Abdulrahman Bin Faisal University, P.O. Box 1982, Dammam 31441, Saudi ArabiaPhysics Department, College of Sciences, Umm AL-Qura University, P.O. Box 715, Makkah 24382, Saudi ArabiaPhysics Department, College of Sciences, Umm AL-Qura University, P.O. Box 715, Makkah 24382, Saudi ArabiaNanomaterials Technology Unit, Basic and Applied Scientific Research Center (BASRC), Physics Department, College of Science of Dammam, Imam Abdulrahman Bin Faisal University, P.O. Box 1982, Dammam 31441, Saudi ArabiaDepartment of Physics, Faculty of Science, Sivas Cumhuriyet University, Sivas 58140, TurkeyMaterials Science & Engineering Program, Department of Chemistry, and Department of Physics & Astronomy, University of California-Riverside, Riverside, CA 92521, USAWe investigate the transmittance spectrum of a multichannel filter composed of dielectric <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>A</mi><mo>)</mo></mrow></semantics></math></inline-formula> and plasma <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>P</mi><mo>)</mo></mrow></semantics></math></inline-formula> materials in the microwave region within the transfer matrix formalism. Two configurations of the proposed filter are studied under the influence of an applied magnetic field: (1) a periodic structure containing <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mrow><mo>(</mo><mi>A</mi><mo>/</mo><mi>P</mi><mo>)</mo></mrow><mrow><mi>N</mi></mrow></msup></mrow></semantics></math></inline-formula> unit cells surrounded by air and (2) the introduction of a second dielectric material <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>D</mi><mo>)</mo></mrow></semantics></math></inline-formula> acting as a defect layer to produce an <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>A</mi><mi>P</mi><msup><mrow><mo>)</mo></mrow><mrow><mi>N</mi><mo>/</mo><mn>2</mn></mrow></msup><mo>/</mo><mi>D</mi><mo>/</mo><mo>(</mo><mi>A</mi><mi>P</mi><msup><mrow><mo>)</mo></mrow><mrow><mi>N</mi><mo>/</mo><mn>2</mn></mrow></msup></mrow></semantics></math></inline-formula> structure. Our findings reveal that in the periodic case, the number of resonant states of the transmittance increases with number <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>N</mi></mrow></semantics></math></inline-formula>; however, the observed blue and red shifts depend on the intensity and orientation of the applied magnetic field. We present contour plots of the transmission coefficients that show the effect of the incident angle on the shifts of the photonic band gaps. Furthermore, we find that the introduction of a defect layer generates additional resonant states and merges the central resonant peak into a miniband of resonances. Moreover, we show that the number of resonant peaks and their locations can be modulated by increasing the unit cell number, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>N</mi></mrow></semantics></math></inline-formula>, as well as increasing the width of the inserted defect layer. Our proposed structures enable the design of novel photonic filters using magnetized plasma materials operating in the microwave region.https://www.mdpi.com/1996-1944/17/3/559one-dimensional photonic crystaltransfer matrix methodtransmittance spectrumangle of incidenceplasma
spellingShingle Hassen Dakhlaoui
Walid Belhadj
Haykel Elabidi
Najla S. Al-Shameri
Fatih Ungan
Bryan M. Wong
Harnessing a Dielectric/Plasma Photonic Crystal as an Optical Microwave Filter: Role of Defect Layers and External Magnetic Fields
Materials
one-dimensional photonic crystal
transfer matrix method
transmittance spectrum
angle of incidence
plasma
title Harnessing a Dielectric/Plasma Photonic Crystal as an Optical Microwave Filter: Role of Defect Layers and External Magnetic Fields
title_full Harnessing a Dielectric/Plasma Photonic Crystal as an Optical Microwave Filter: Role of Defect Layers and External Magnetic Fields
title_fullStr Harnessing a Dielectric/Plasma Photonic Crystal as an Optical Microwave Filter: Role of Defect Layers and External Magnetic Fields
title_full_unstemmed Harnessing a Dielectric/Plasma Photonic Crystal as an Optical Microwave Filter: Role of Defect Layers and External Magnetic Fields
title_short Harnessing a Dielectric/Plasma Photonic Crystal as an Optical Microwave Filter: Role of Defect Layers and External Magnetic Fields
title_sort harnessing a dielectric plasma photonic crystal as an optical microwave filter role of defect layers and external magnetic fields
topic one-dimensional photonic crystal
transfer matrix method
transmittance spectrum
angle of incidence
plasma
url https://www.mdpi.com/1996-1944/17/3/559
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