Title :
Using conformal mapping for analysis of beam-field interaction in planar corrugated periodic structures
Author_Institution :
Inst. of Radio Astron., National Acad. of Sci. of Ukraine, Kharkov, Ukraine
Abstract :
An electron beam above a planar corrugated periodic structure is considered. Under the assumption of a uniformly-charged in the transverse cross-section beam, a "disk" model may be implemented and the static Green\´s function for the uniformly charged interacting disks is derived analytically in the general case (without using the properties of a concrete mapping for a specific structure). The coordinate-dependent plasma frequency reduction coefficients and their application for the beam-field interaction in microwave devices are introduced and discussed.
Keywords :
Green´s function methods; backward wave oscillators; conformal mapping; microwave tubes; periodic structures; beam-field interaction analysis; conformal mapping; coordinate-dependent plasma frequency reduction; disk model; electron beam; microwave devices; planar corrugated periodic structure; planar corrugated periodic structures; static Green function; transverse cross-section beam; uniformly charged interacting disks; Concrete; Conformal mapping; Electron beams; Frequency; Green´s function methods; Microwave devices; Periodic structures; Plasma applications; Plasma devices; Plasma properties;
Conference_Titel :
Microwave Conference, 2005 European
Print_ISBN :
2-9600551-2-8
DOI :
10.1109/EUMC.2005.1610062
