| ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
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Radiation of a TM mode from an open end of a three-layer dielectric capillary |
| Sergey N. Galyamin1,† and Alexandr M. Altmark2 |
1 St. Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg 199034, Russia;
2 St. Petersburg Electrotechnical University "LETI", 5 Professora Popova, St. Petersburg 197022, Russia |
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Abstract Modern trends in beam-driven radiation sources include the interaction of Cherenkov wakefields in open-ended circular waveguides with complicated dielectric linings, with a three-layer dielectric capillary recently proposed to reduce radiation divergence being a representative example [Opt. Lett. 45 5416 (2020)]. We present a rigorous approach that allows for an analytical description of the electromagnetic processes that occur when the structure is excited by a single waveguide TM mode. In other words, the corresponding canonical waveguide diffraction problem is solved in a rigorous formulation. This is a continuation of our previous papers which considered simpler cases with a homogeneous or two-layer dielectric filling. Here we use the same analytical approach based on the Wiener-Hopf-Fock technique and deal with the more complicated case of a three-layer dielectric lining. Using the obtained rigorous solution, we discuss the possibility of manipulating the far-field radiation pattern using a third layer made of a low permittivity material.
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Received: 21 December 2023
Revised: 28 March 2024
Accepted manuscript online: 16 April 2024
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PACS:
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41.20.Jb
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(Electromagnetic wave propagation; radiowave propagation)
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42.25.Fx
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(Diffraction and scattering)
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41.60.-m
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(Radiation by moving charges)
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41.60.Bq
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(Cherenkov radiation)
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| Fund: This work was supported by the Russian Science Foundation (Grant No. 18-72-10137). |
Corresponding Authors:
Sergey N. Galyamin
E-mail: s.galyamin@spbu.ru
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Cite this article:
Sergey N. Galyamin and Alexandr M. Altmark Radiation of a TM mode from an open end of a three-layer dielectric capillary 2024 Chin. Phys. B 33 074102
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