The Role of Ordinary Bessel and Hankel Functions in Simulation of Plasma Valve Mechanism in a Loss-Free Metallic Cylindrical Waveguide

In this paper, a finite cylindrical plasma waveguide is investigated as a plasma valve in the path of a non-dissipative cylindrical waveguide with metal walls. Theoretical simulation to investigate the effect of the main parameters of this plasma valve on the transmission coefficients and reflection...

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Main Authors: Asghar Karamian, Bahram Jazi, Samaneh Najari
Format: Article
Language:English
Published: University of Kashan 2022-12-01
Series:Mathematics Interdisciplinary Research
Subjects:
Online Access:https://mir.kashanu.ac.ir/article_112053_ce851ff7603f55b504dd542fb8c8538c.pdf
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author Asghar Karamian
Bahram Jazi
Samaneh Najari
author_facet Asghar Karamian
Bahram Jazi
Samaneh Najari
author_sort Asghar Karamian
collection DOAJ
description In this paper, a finite cylindrical plasma waveguide is investigated as a plasma valve in the path of a non-dissipative cylindrical waveguide with metal walls. Theoretical simulation to investigate the effect of the main parameters of this plasma valve on the transmission coefficients and reflection coefficients of the symmetric modes is the main part of this paper. The transmittance coefficients of electromagnetic waves in each symmetric mode are introduced in terms of Henkel functions and ordinary Bessel functions, and the role of these functions in the purification of some modes is investigated. Taking into account the boundary conditions, the transmission coefficient of the output wave modes from the plasma valve are obtained. The diagrams of the mentioned coefficient versus the incident wave frequency, geometry dimensions and the type of the used plasma in the valve are studied.
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spelling doaj.art-cb8498f237e84c74a3e3ca6f1ded62392023-11-11T10:06:23ZengUniversity of KashanMathematics Interdisciplinary Research2476-49652022-12-017434335510.22052/mir.2022.243283.1321112053The Role of Ordinary Bessel and Hankel Functions in Simulation of Plasma Valve Mechanism in a Loss-Free Metallic Cylindrical WaveguideAsghar Karamian0Bahram Jazi1Samaneh Najari2Department of Laser and Photonics, Faculty of Physics, University of Kashan, Kashan, I. R. IranDepartment of Laser and Photonics, Faculty of Physics, University of Kashan, Kashan, I. R. IranDepartment of Laser and Photonics, Faculty of Physics, University of Kashan, Kashan, I. R. IranIn this paper, a finite cylindrical plasma waveguide is investigated as a plasma valve in the path of a non-dissipative cylindrical waveguide with metal walls. Theoretical simulation to investigate the effect of the main parameters of this plasma valve on the transmission coefficients and reflection coefficients of the symmetric modes is the main part of this paper. The transmittance coefficients of electromagnetic waves in each symmetric mode are introduced in terms of Henkel functions and ordinary Bessel functions, and the role of these functions in the purification of some modes is investigated. Taking into account the boundary conditions, the transmission coefficient of the output wave modes from the plasma valve are obtained. The diagrams of the mentioned coefficient versus the incident wave frequency, geometry dimensions and the type of the used plasma in the valve are studied.https://mir.kashanu.ac.ir/article_112053_ce851ff7603f55b504dd542fb8c8538c.pdfelectromagnetic wavetransmission coefficientsplasma frequencymode matching
spellingShingle Asghar Karamian
Bahram Jazi
Samaneh Najari
The Role of Ordinary Bessel and Hankel Functions in Simulation of Plasma Valve Mechanism in a Loss-Free Metallic Cylindrical Waveguide
Mathematics Interdisciplinary Research
electromagnetic wave
transmission coefficients
plasma frequency
mode matching
title The Role of Ordinary Bessel and Hankel Functions in Simulation of Plasma Valve Mechanism in a Loss-Free Metallic Cylindrical Waveguide
title_full The Role of Ordinary Bessel and Hankel Functions in Simulation of Plasma Valve Mechanism in a Loss-Free Metallic Cylindrical Waveguide
title_fullStr The Role of Ordinary Bessel and Hankel Functions in Simulation of Plasma Valve Mechanism in a Loss-Free Metallic Cylindrical Waveguide
title_full_unstemmed The Role of Ordinary Bessel and Hankel Functions in Simulation of Plasma Valve Mechanism in a Loss-Free Metallic Cylindrical Waveguide
title_short The Role of Ordinary Bessel and Hankel Functions in Simulation of Plasma Valve Mechanism in a Loss-Free Metallic Cylindrical Waveguide
title_sort role of ordinary bessel and hankel functions in simulation of plasma valve mechanism in a loss free metallic cylindrical waveguide
topic electromagnetic wave
transmission coefficients
plasma frequency
mode matching
url https://mir.kashanu.ac.ir/article_112053_ce851ff7603f55b504dd542fb8c8538c.pdf
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