Curvature Analytical Model of 2D PN Diode

• Main Authors: Tsung-Hsing Lin, 林宗興
• Other Authors: Yao-Tsung Tsai
• Format: Others
• Language: zh-TW
• Published: 2013
• Online Access: http://ndltd.ncl.edu.tw/handle/61863400255486135650

碩士 === 國立中央大學 === 電機工程學系 === 101 === In this thesis, we discuss why we will form a curved PN junction, and derive　theoretical formula, then build the two-dimensional mixed level simulator to help analysis. In order to design the two-dimensional mixed level simulator, we have transformed Poisson’s equation and the current continuity equation into equivalent circuit, then we consider using cylindrical coordinates to analyze curved PN junction. We use trapezoid mesh to replace square mesh, and set optimization angle to reduce error. Finally, we use Taylor series to obtain the analytical model for understanding the electric field dependence on the junction radius. From the analytical model, we can understand the change direction of the electric field magnitude at the PN junction if we reduce the junction radius. The analytical model is also verified by the two-dimensional mixed level simulator.