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Article

Характеристическое уравнение и свойства электронных волн в периодических структурах

Радиотехника и электроника. 2012. Т. 57. № 12. С. 1312-1322.
Солнцев В. А.

The finitedifference theory of excitation of periodic waveguides is used to derive the characteris tic equation for electron waves formed during interaction of an electron beam with forward and counter propagating electromagnetic waves of periodic waveguides (slowwave structures). The derived characteristic equation describes interaction of electrons and waves in passbands and stopbands of periodic waveguides and contains known solutions for “smooth” slowwave structures and resonator slowwave structures near cutoff frequencies as particular cases. Several analytical solutions allowing comparison of amplification and propa gation properties of electron waves inside and at the edges of passbands and stopbands of periodic waveguides are found.