Boots – shoes – and leggings
Patent
1997-01-21
1998-12-01
MacDonald, Allen R.
Boots, shoes, and leggings
36446803, 36446828, 364488, 706 45, 706919, 706920, 39550001, G06G 748
Patent
active
058448209
ABSTRACT:
A simulation method and design systems are provided for simulating and analyzing the properties of a periodically structured material such as a semiconductor or a superconductor to develop a novel periodically structured material. In the simulation method of the present invention, an overlap integral between Bloch functions, .psi..sub.m (k.sub.A) and .psi..sub.i (k.sub.B), for two adjacent wave number vectors, k.sub.A and k.sub.B, in Brillouin zone is found as S.sub.im =<.psi..sub.i (k.sub.B).vertline..psi..sub.m (k.sub.A)> whereby a matching degree in terms of symmetrical nature of the Bloch functions, .psi..sub.m (k.sub.A) and .psi..sub.i (k.sub.B), can be quantitatively estimated. Accordingly, if the band array operation matrix, ##EQU1## is diagonalized to find an eigenvalue, .gamma..sub.p and an eigenvector, U.sub.np, then there can be found from .gamma..sub.p and U.sub.np the Bloch functions in a one-to-one relation with two adjacent wave number vectors, k.sub.A and k.sub.B : ##EQU2## and energy bands in one-to-one relation with each wave number vector.
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Kazimi Hani M.
MacDonald Allen R.
Mitsubishi Denki & Kabushiki Kaisha
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