Plane-wave approximation of carrier waves in semiconductor plates with nonisotropic mobility

Starting from the two-dimensional carrier-wave theory of Kino and Robson the minimum thickness of a semiconductor plate that is able to support an approximate plane wave with the dispersion relation being practically equal to that of the one-dimensional theory is estimated. In the limit of small ext...

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Bibliographic Details
Published in:IEEE transactions on electron devices 1971-08, Vol.18 (8), p.587-591
Main Author: Engelmann, R.W.H.
Format: Article
Language:English
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Summary:Starting from the two-dimensional carrier-wave theory of Kino and Robson the minimum thickness of a semiconductor plate that is able to support an approximate plane wave with the dispersion relation being practically equal to that of the one-dimensional theory is estimated. In the limit of small external permittivity such a plane wave is approximated by the fundamental lateral mode, whereas in the limit of large external permittivity a superposition of a few orders of the lateral modes is necessary. At small plate thickness the fundamental mode stays an approximate plane wave. It does the same for larger external permittivity, however, with a changed dispersion relation.
ISSN:0018-9383
1557-9646
DOI:10.1109/T-ED.1971.17245