Transmittance and Fractality in a Cantor-like Multibarrier System
The transmittance is studied for a Cantor-like multibarrier system. The calculation are made in the framework of effective mass theory. Some typical values of effective masses and potentials are used in order to have an experimental reference. The techniques of Transfer Matrix are used to calculate the transmittance of the entire structure having some dozens of layers. The results display a complex structure of peaks and valleys. The set of maxima is studied with the tool of the q-dependent dimension D(q). The set of transmittance maxima exhibits a fractal structure, or more exactly, a multifractal structure, i.e., a q-dependent dimension, characterized as usually with limit one when q parameter tends to -∞ but with a limit between 0 and 1 when tends to +∞. This numerical experiment demonstrate that spatially bounded potential may exhibit spectrum with fractal character.
D.S.Díaz-Guerrero F.Montoya L.M.Gaggero-Sager R.P.Pérez-(A)lvarez
Universidad Autónoma del Estado de Morelos,Ave.Universidad 1001,62209 Cuernavaca,Mexico
国际会议
Progress in Electromagnetics Research Symposium 2008(2008年电磁学研究新进展学术研讨会)(PIERS 2008)
杭州
英文
1-4
2008-03-24（万方平台首次上网日期，不代表论文的发表时间）