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A Boundary Integral Equation Approach to Oxidation Modeling

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2 Author(s)
Tung, T.-L. ; Massachusetts Institute of Technology, Cambridge, MA, USA ; Antoniadis, D.A.

Thermal oxidation of silicon involves the diffusion of oxidant molecules from the gas-oxide interface to the oxide-silicon interface, and the transport of newly formed oxide away from the latter. Under suitable formulations these two processes can be shown to be boundary-value problems of harmonic and biharmonic nature. Based on these properties, a boundary integral equation method (BIEM) has been developed for modeling oxidation. This method achieves simplicity and efficiency by solving a two-dimensional problem using line integrals on the boundaries. The use of source distributions as intermediary solutions facilitates direct calculations of a wide variety of boundary parameters.

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Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on  (Volume:4 ,  Issue: 4 )