AN EXTENDED PROOF OF THE RAMO-SHOCKLEY THEOREM
AN EXTENDED PROOF OF THE RAMO-SHOCKLEY THEOREM
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DOI：
10.1016/0038-1101(91)90065-7
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发表时间：
1991-11-01
影响因子：
1.7
通讯作者：
PARK, YJ
中科院分区：
文献类型：
--
作者：
KIM, H;MIN, HS;PARK, YJ
在非齐次介质中引入格林定理的一种新的泛函形式，使我们能够证明在电极保持恒定电位的非齐次介质中导出的Ramo-Shockley定理即使在电极电位时变时仍然有效。我们的证明基于修正的格林定理，是Ramo原始证明的扩展，与现有的非均匀介质恒电极电位下的能量平衡证明方法不同。我们的证明为使用粒子模拟（如蒙特卡罗方法）计算半导体器件中的瞬时电流提供了基础，因为它清楚地区分了由移动电荷引起的电极中感应的电流和通过电极之间的电容耦合由电极的时变电位引起的电流。
An introduction of a new functional form of Green's theorem for inhomogeneous media has enabled us to show that the Ramo-Shockley theorem derived for inhomogeneous media with electrodes maintained at constant potentials is still valid even when the electrode potentials are time-varying. Our proof, which is based on this modified Green's theorem, is an extension of Ramo's original proof and is different from the energy balance method which is the existing method of proof of the theorem for inhomogeneous media at constant electrode potentials. Our proof provides a basis for calculations of the instantaneous currents in semiconductor devices using particle simulations such as the Monte-Carlo method since it differentiates clearly the current induced in the electrodes due to the moving charges from the current caused by the time-varying potentials of the electrodes through capacitive couplings among the electrodes.