Lecture 10 - Minority Carrier Diffusion Equations

Lecture 10 - Minority Carrier Diffusion Equations -...

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1 Minority Carrier Diffusion Equations • Objective: Be able to calculate carrier concentrations and currents in semiconductor devices. • Questions to be Answered: – What are the critical equations governing semiconductor device behavior? EE360 – Lecture 10 – How do we solve these equations? Continuity Equations • To find the overall change in carrier concentration with respect to time, we simply sum all the contributions (drift, diffusion, R-G, etc.) EE360 – Lecture 10
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2 Continuity Equations • We can show that and if more carriers enter a small region than leave, the carrier concentration will increase (and vice versa) • Thus, the we find the standard form of the continuity equations EE360 – Lecture 10 • General equations for all device analysis. We will routinely use a simplified form of the continuity equations. Example: pn junction diode Current distribution determined through finite element solution of n-type finite element solution of the continuity equations (FEMLAB by COMSOL, Inc.)
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Lecture 10 - Minority Carrier Diffusion Equations -...

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