Cherenkov radiation of a charge exiting open-ended waveguide with dielectric filling

Galyamin, Sergey N.; Tyukhtin, Andrey V.; Vorobev, Viktor V.; Grigoreva, Aleksandra A.; Aryshev, Alexander

doi:10.1103/physrevaccelbeams.22.012801

Cited by 8 publications

(6 citation statements)

References 49 publications

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“…If a bunch train with proper spatial modulation is used instead of a single bunch, then high-order CR modes (l > 1) can be in principle generated separately, see Section III-B in Ref. [19].…”

Section: Numerical Resultsmentioning

confidence: 99%

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

Galyamin,

Altmark

2024

Chinese Phys. B

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Modern trends in beam-driven radiation sources include the interaction of Cherenkov wakefields with open-ended circular waveguides with complicated dielectric linings, with a three-layer dielectric capillary recently proposed to reduce radiation divergence being a representative example [Jiang S et al. 2020 Opt. Lett. 45 5416]. This paper presents 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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Section: Numerical Resultsmentioning

confidence: 99%

“…The presented technique can be directly applied to the radiation of the CR wakefield generated behind the moving charge in the form of a slow waveguide mode. Moreover, the presented rigorous solution can potentially be extended to a beam-driven case (similar to what has been done for "embedded" structures [19] ).…”

Section: Introductionmentioning

confidence: 88%

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

Galyamin,

Altmark

2024

Chinese Phys. B

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“…Here we deal with more realistic case of a layered filling (vacuum channel and dielectric layer) and internal excitation by single waveguide mode. Moreover, though the presented technique can be rigorously extended to the beam-driven case (similar to how it has been done for "embedded" structures [14]), it can be applied approximately to the CR in the form of a narrowband wakefield generated behind the driver bunch.…”

Section: Introductionmentioning

confidence: 99%

“…To our knowledge, cylindrical waveguides (which are of most practical importance) with an open end and a dielectric loading have been studied much less frequently and in approximate formulation only [13,14]. Reliable rigorous results were recently obtained only for an "embedded" (closed) structure where an open-ended waveguide was placed inside an infinite collinear waveguide of larger radius [15][16][17][18] Therefore, questions remain about the limits of the applicability of the aforementioned approximate methods, the error in the results and the possible ways to improve their accuracy. The answers can be given by direct comparison between their results with those obtained using a rigorous approach.…”

Section: Introductionmentioning

confidence: 99%

Diffraction at the Open-Ended Dielectric-Loaded Circular Waveguide: Rigorous Approach

Galyamin

Vorobev

Tyukhtin

2021

IEEE Trans. Microwave Theory Techn.

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A rigorous approach for solving canonical circular open-ended dielectric-lined waveguide diffraction problems is presented. This is continuation of our recent paper [1] where a simpler case of uniform dielectric filling has been considered. Here we deal with the case of an open-ended circular waveguide with layered dielectric filling which is closer to potential applications. The presented method uses the solution of corresponding Wiener-Hopf-Fock equation and leads to an infinite linear system for reflection coefficients (S-parameters) of the waveguide, the latter can be efficiently solved numerically using the reducing technique. As a specific example directly applicable to beam-driven radiation sources based on dielectric-lined capillaries, diffraction of a slow TM symmetrical mode at the open end of the described waveguide is considered. A series of such modes forms the wakefield (Cherenkov radiation field) generated by a charged particle bunch during its passage along the vacuum channel axis. Calculated S-parameters were compared with those obtained from COMSOL simulation and an excellent agreement was shown. This method is expected to be very convenient for analytical investigation of various electromagnetic interactions of Terahertz (THz) waves (both free and guided) and charged particle bunches with slow-wave structures prospective in context of modern beam-driven THz emitters, THz accererators and THz-based bunch manipulation and bunch diagnostic systems.

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“…In the present paper we consider the CR from a bunch of charged particles in a cylindrical waveguide partly loaded by a periodic medium. The CR in waveguides with dielectric filling has been widely discussed in the literature (for an early review see [1] and references given in [6]). In particular, special attention has been paid to the radiation on periodical structures inside the waveguide (see, for example, [7][8][9][10][11][12] and references therein).…”

Section: Introductionmentioning

confidence: 99%

Self-amplification of radiation from an electron bunch inside a waveguide filled with periodic medium

et al. 2020

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We investigate the radiation from a bunch of relativistic electrons moving along the cylindrical waveguide axis, assuming that the waveguide is partially loaded by a medium with periodic dielectric permittivity and magnetic permeability. The spectral distribution of the radiation energy flux through the cross section of the waveguide is studied at large distances from the medium. The analysis is based on the corresponding exact solution of Maxwell equations for the case of a single electron moving along the waveguide axis. The results of numerical calculations are presented in the special case of layered medium consisting of a finite number of dielectric plates separated by vacuum gaps. We show that under certain conditions on the problem parameters the quasi-coherent Cherenkov radiation generated by the electron bunch inside the plates is self-amplified at certain waveguide modes. A visual explanation of this phenomenon is provided that reproduces the main features to rather good accuracy.

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Cherenkov radiation of a charge exiting open-ended waveguide with dielectric filling

Cited by 8 publications

References 49 publications

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

Diffraction at the Open-Ended Dielectric-Loaded Circular Waveguide: Rigorous Approach

Self-amplification of radiation from an electron bunch inside a waveguide filled with periodic medium

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