Singl, Harjinder ; Chattaraj, P. K. (1988) Scattering from a model fractal lattice of dimension less than one Physics Letters A, 128 (6-7). pp. 355-359. ISSN 0375-9601
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Official URL: http://www.sciencedirect.com/science/article/pii/0...
Related URL: http://dx.doi.org/10.1016/0375-9601(88)90190-9
Abstract
Scattering cross sections are obtained for scattering of waves from one-dimensional lattices chosen as simplistic models of Cantor-like sets. The self-similar geometry is described in terms of a fractal dimension. A parametric dependence of the cross-section on the fractal dimension is proposed. The average wavefunction method is used to calculate the differential scattering cross section. The integrated cross section shows a fractional power-law dependence on the wave-vector of the incoming wave. Results are presented for a wide range of energies and two different regimes exhibiting different fractal behaviour are observed.
Item Type: | Article |
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Source: | Copyright of this article belongs to Elsevier Science. |
ID Code: | 71261 |
Deposited On: | 24 Nov 2011 08:32 |
Last Modified: | 24 Nov 2011 08:32 |
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