The description of mode matching method, in electromagnetic wave transmission from a loss free semi-bounded waveguide to
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The description of mode matching method, in electromagnetic wave transmission from a loss free semi-bounded waveguide to the plasma waveguide Samaneh Najaria
, Bahram Jazib
Department of Laser and Photonics, Faculty of Physics, University of Kashan, Kashan, Islamic Republic of Iran Received: 28 July 2020 / Accepted: 11 October 2020 © Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract Using the mode matching technique, the passing phenomenon of electromagnetic waves from a semi-bounded cylindrical dielectric waveguide to a semi-bounded plasma waveguide have been studied. A thin dielectric layer is placed around the plasma waveguide. An electromagnetic wave in a single mode will be injected into the plasma waveguide from the filled dielectric waveguide. The interaction of the incident wave with interface surface, between two semi-bounded waveguides, will produce new modes for the transmitted waves. It will be shown that the transmission coefficients of the transmitted waves depend on several parameters such as the incident wave frequency, characteristic mode number of incident wave, the thickness of the dielectric layer around the plasma and the plasma electron frequency. To obtaining the transmission coefficients, an approximation solution is introduced and the diagrams of the transmission coefficients versus the incident wave frequency for some different geometric dimensions of the waveguides are investigated.
1 Introduction As is well-known, there are several methods for producing a plasma from a neutral gas, such as electrical discharge, electron beam injection, direct heating, and electromagnetic beam injection method [1–3]. In the method of injecting an electromagnetic beam into a gaseous environment, both the launcher and the gas environment are in a bounded structure (waveguides). In this structure, one of the most fundamental parameters is the percentage amount of the input waves from the launcher waveguide to the neutral gas located in the other waveguide which is a function of the geometrical properties of the waveguides, the type of materials and the frequency of the incident wave. On the other hands, the reflection, refraction, transmission and the production of new harmonic are the different phenomena that will be appeared in the passing of the electromagnetic waves from the interface surface of two regions [4,6]. In the mentioned process, the reflection and transmission coefficients of the waves, depends on several factors, such as the
a e-mail: [email protected] b e-mail: [email protected] (corresponding author)
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shape of boundaries of the system, the electromagnetic properties of the materials and the wave frequency [7–10]. Based on electromagnetic theory, the transmitted and reflected waves will be quantized by applying the electromagnetic boundary conditions on boundaries of the system [11–14]. On the other words, based on the mode matching technique, the t
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