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A simply implemented two dimensional Shockley–Poisson solver with applications to CCD
Author(s) -
Fortino Andres G.,
Nandan Joseph S.
Publication year - 1979
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620140209
Subject(s) - poisson's equation , solver , poisson distribution , charge (physics) , code (set theory) , computer science , algorithm , mathematics , mathematical analysis , physics , mathematical optimization , quantum mechanics , statistics , set (abstract data type) , programming language
Abstract A numerical method for the solution of the two dimensional Shockley–Poisson equation is presented and applied to the analysis of MOS devices. This SOR–Newton method is compared to Gummel's algorithm in two dimensions and shown to be more easily implemented. Application of the resulting code to interelectrode effects in charge coupled devices is given as an example.