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在高功率微波二极管的设计中,空间电荷限制电流因其与二极管的特性及虚阴极形成关系密切而显得十分重要,虽然Langmuir和Blodgett给出的数值解十分有用,但是在实际的应用中一个简单的函数表达式还是更为方便,同时也可以避免当Rc/Ra很大时带来的级数发散问题.第一性原理已经应用在平行板和共轴圆柱之间二维空间电荷限制电流的推导,它的可靠性也已经得到了大量的验证.本文利用第一性原理推导出了同心球二极管空间电荷限制电流的解析表达式,其中的空间电荷场因子通过和经典的朗缪尔电流比较而得到.
In the design of high-power microwave diodes, the space-charge-limited current is very important because of its close relationship with the diode characteristics and the formation of the virtual cathode. Although the numerical solution given by Langmuir and Blodgett is very useful, it is simple in practical applications Function expression is more convenient, but also to avoid when Rc / Ra is very large when the series divergence problem.First principle has been applied between the parallel plate and coaxial cylindrical two-dimensional charge-limiting current And its reliability has also been a lot of validation.In this paper, the first-principles are derived analytically derived concentric spherical diode space charge current, which the space charge field factor and the classic Langmuir current comparison And get.