Transfer-matrix algorithm for the calculation of the band structure of semiconductor superlattices

1988 ◽  
Vol 38 (9) ◽  
pp. 6151-6159 ◽  
Author(s):  
L. R. Ram-Mohan ◽  
K. H. Yoo ◽  
R. L. Aggarwal
Keyword(s):  
Band Structure ◽  
Transfer Matrix ◽  
Semiconductor Superlattices ◽  
Matrix Algorithm

On the Band Structure of Ultrathin Layer Semiconductor Superlattices

1989 ◽  
Vol 153 (1) ◽  
pp. 161-165 ◽  
Author(s):  
N. A. Gushchina ◽  
V. K. Nikulin ◽  
Yu. N. Tzarev
Keyword(s):  
Band Structure ◽  
Semiconductor Superlattices ◽  
Ultrathin Layer

Disorder and localization in ribbed structures with fluid loading

1994 ◽  
Vol 444 (1920) ◽  
pp. 73-89 ◽  
Keyword(s):  
Steady State ◽  
Band Structure ◽  
Transfer Matrix ◽  
Stop Band ◽  
Localization Length ◽  
Fluid Loading ◽  
Transfer Matrices ◽  
Matrix Solution ◽  
Harmonic Response ◽  
Irregular Case

The paper considers the steady-state harmonic response of an elastic fluid-loaded membrane supported by irregularly spaced ribs. Under the assumption of subsonic wave coupling, the solution is given exactly for any configuration as a product of 2 x 2 transfer matrices. It is well known that the response of a periodically ribbed membrane exhibits a pass/stop band structure. Although this structure is destroyed in the irregular case, we find that two distinct régimes remain: smooth and fluctuating exponential decay. The transfer matrix solution is used to explain these regions. The average transfer matrix is obtained exactly; where the decay is smooth its eigenvalues approximately determine the localization length.

Transfer matrix algorithm for convection-biased diffusion

1986 ◽  
Vol 19 (11) ◽  
pp. L687-L692 ◽  
Author(s):  
S Roux ◽  
C Mitescu ◽  
E Charliax ◽  
C Baudet
Keyword(s):  
Transfer Matrix ◽  
Matrix Algorithm ◽  
Biased Diffusion

Ribbed elastic structures under a mean flow

2005 ◽  
Vol 461 (2056) ◽  
pp. 913-931
Author(s):  
Paul D Metcalfe
Keyword(s):  
Band Structure ◽  
Transfer Matrix ◽  
Anderson Localization ◽  
Stop Band ◽  
Matrix Inversion ◽  
Mean Flow ◽  
Elastic Structures ◽  
Band Matrix ◽  
Disordered Structures ◽  
Static Fluid

The problem of a ribbed membrane or plate submerged in a fluid with mean flow is studied. We first derive a method which can be used to reduce this, and similar problems to a band matrix inversion. We then find the pass and stop band structure found in the case of static fluid persists when a mean flow is introduced, and we give an explanation in terms of the eigenvalues of the transfer matrix of the system. We then study disordered structures and observe the phenomenon of Anderson localization. In some parameter régimes the addition of disorder causes significant delocalization.

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