Modeling a nanowire superlattice using the finite difference method in cylindrical polar coordinates
A new procedure for handling periodic boundary conditions within the finite difference method and in cylindrical polar coordinates is presented and applied to modeling a nanowire superlattice. The method is compared for accuracy and efficiency with two other formulations of the same problem: the fin...
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| Veröffentlicht in: | Computer physics communications 2004-02, Vol.157 (2), p.147-159 |
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| container_title | Computer physics communications |
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| creator | Galeriu, C. Lew Yan Voon, L.C. Melnik, R. Willatzen, M. |
| description | A new procedure for handling periodic boundary conditions within the finite difference method and in cylindrical polar coordinates is presented and applied to modeling a nanowire superlattice. The method is compared for accuracy and efficiency with two other formulations of the same problem: the finite difference method applied to a finite number of unit cells, and the exact solution of the equivalent Kronig–Penney model. The technique is then shown to reproduce a novel physical state, and is applied to an embedded nanowire for which there are no analytical solutions. |
| doi_str_mv | 10.1016/S0010-4655(03)00493-4 |
| format | Article |
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| ispartof | Computer physics communications, 2004-02, Vol.157 (2), p.147-159 |
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| source | Elsevier ScienceDirect Journals Complete |
| subjects | Cylindrical polar coordinates Finite difference method Periodic boundary conditions Semiconductor nanostructures |
| title | Modeling a nanowire superlattice using the finite difference method in cylindrical polar coordinates |
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