Radiation of a TM mode from an open end of a three-layer dielectric capillary

doi:10.1088/1674-1056/ad3ef7

中国物理B ›› 2024, Vol. 33 ›› Issue (7): 74102-074102.doi: 10.1088/1674-1056/ad3ef7

Radiation of a TM mode from an open end of a three-layer dielectric capillary

Sergey N. Galyamin^1,† 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

收稿日期:2023-12-21 修回日期:2024-03-28 接受日期:2024-04-16 出版日期:2024-06-18 发布日期:2024-06-20
通讯作者: Sergey N. Galyamin E-mail:s.galyamin@spbu.ru
基金资助:
This work was supported by the Russian Science Foundation (Grant No. 18-72-10137).

Radiation of a TM mode from an open end of a three-layer dielectric capillary

Sergey N. Galyamin^1,† 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

Received:2023-12-21 Revised:2024-03-28 Accepted:2024-04-16 Online:2024-06-18 Published:2024-06-20
Contact: Sergey N. Galyamin E-mail:s.galyamin@spbu.ru
Supported by:
This work was supported by the Russian Science Foundation (Grant No. 18-72-10137).

摘要/Abstract

摘要： 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.

关键词: diffraction radiation, open-ended waveguide, Wiener-Hopf technique, Cherenkov radiation

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.

Key words: diffraction radiation, open-ended waveguide, Wiener-Hopf technique, Cherenkov radiation

中图分类号: (Electromagnetic wave propagation; radiowave propagation)

41.20.Jb

42.25.Fx (Diffraction and scattering) 41.60.-m (Radiation by moving charges) 41.60.Bq (Cherenkov radiation)

Sergey N. Galyamin and Alexandr M. Altmark. Radiation of a TM mode from an open end of a three-layer dielectric capillary[J]. 中国物理B, 2024, 33(7): 74102-074102.

Sergey N. Galyamin and Alexandr M. Altmark. Radiation of a TM mode from an open end of a three-layer dielectric capillary[J]. Chin. Phys. B, 2024, 33(7): 74102-074102.

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Radiation of a TM mode from an open end of a three-layer dielectric capillary

Radiation of a TM mode from an open end of a three-layer dielectric capillary

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