Determining the energy spectrum of a charged particle beam using Cherenkov radiation in the deceleration system

Determination of the particle energy in a waveguide with a thin dielectric layer

“…This result is corroborated by Fig. 3, where the comparison between the solution of the strong dispersive equation (6) and the solution of the approximate equation (12) is given [note that Eq. (12) practically results in Eq.…”

“…This can be achieved in different ways, but it is obvious that the waveguide cannot be a simple regular structure with a perfectly conductive wall. Different variants of waveguide structures were offered for the indicated goals [6][7][8][9][10][11][12][13]. In Ref.…”

“…In Ref. [6], the authors have recommended the use of the simplest variant: a circular waveguide with a cylindrical layer of isotropic nondispersive dielectric. A disadvantage of this variant is that the dependency of the waveguide modes on the Lorentz factor is usually weak.…”

“…m ðÞ both for some predetermined narrow range of values and for a sufficiently wide range of [5][6][7][8][9][10][11]. Here, we discuss the method, which is relatively simple for experimental realization and, at the same time, gives a sufficiently strong dependency of the mode frequency on the Lorentz factor.…”

“…As in Ref. [6], we considered a waveguide with cylindrical dielectric layer. However, our suggestion is to use a thin dielectric layer instead of a traditional, relatively thick layer (this idea was mentioned for the first time in Ref.…”