Method of particle energy determination based on measurement of waveguide mode frequencies

Radiation from a charged particle bunch in a circular waveguide having areas with corrugated and smooth walls

“…The other field for application of periodic structures is connected with new nondestructive methods of bunches diagnostic. The bunch energy measuring by means of circular waveguide having walls with small rectangular cells is described in the paper [11]. This paper is devoted to the investigation of radiation produced by charged particle bunch intersecting the boundary between the corrugated waveguide area (corrugations have rectangular forms) and the area with smooth wall.…”

Radiation of charged particle bunches in corrugated waveguides with small period

“…However, it should be emphasized that here we focus on a principally different situation, when the wavelengths under consideration significantly exceed the period of the structure. We analyzed the similar problem earlier where the waveguide wall was a grid having rectangular cells composed of thin conductors [5]. Such structure is described by so-called averaged boundary condition (ABC).…”

“…Now we consider another situation where the waveguide wall is solid. Therefore, the boundary conditions used here differ essentially from the ABC used in [5]. In the case under consideration, the periodic structure can be approximately described with help of so-called equivalent boundary conditions (EBC) which should be fulfilled on the smooth surface (they are known also as Vainstein-Sivov conditions) [6].…”