Scattering from fractal superlattices with variable lacunarity
Scattering from fractal superlattices with variable lacunarity
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DOI:
10.1364/josaa.15.001626
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发表时间:
1998-06-01
影响因子:
1.9
通讯作者:
Jaggard, DL
中科院分区:
文献类型:
--
作者:
Jaggard, AD;Jaggard, DL
Reflection and transmission properties of polyadic fractal superlattices are formulated, solved analytically, and characterized for variations in fractal dimension, lacunarity, number of gaps, stage of growth, and angle of incidence. We systematically study the effect of the lacunarity or homogeneity of gaps on the scattering characteristics of these superlattices. The salient features of this scattering are captured by families of reflection data that denote twist plots. We find evidence that fractal dimension, lacunarity and stage of growth, can be distinguished in these plots. The analytic solution described here is a doubly recursive technique that efficiently provides the reflection and transmission coefficients of a large class of Canter superlattices. This may provide a significant computational advantage over traditional methods as the number of interfaces becomes large. (C) 1998 Optical Society of America.