建立了槽区内加载介质的格栅慢波结构模型. 通过Borgnis函数法和场匹配法得到冷态和热态色散方程. 并推导了耦合阻抗的表达式.在稀疏电子注的假设下, 求得增益近似解的表达式.通过数值方法,求解并分析了加载介质对色散关系、基波耦合阻抗、基波相速和基波增益的影响.并指出分别在槽内加载介质和格栅对侧加载介质对高频特性的不同影响趋势.

A model of the metal-grating periodic slow-wave structure (SWS) with dielectric loaded in the grooves was built and the expressions of the dispersion equation and coupling impedance were developed by using the Borgnis function and the field-matching method. Under the assumption of the dilute electron beam, the gain was obtained. Through numerical calculations, the influences on the high-frequency characteristics of some parameters are given. Moreover, the different characteristics of the two ways of the dielectric being loaded have been analyzed.