TY - JOUR
T1 - Theory of self-similarity in the reflectivity spectrum of a Fibonacci superlattice
AU - Miyazaki, H.
AU - Inoue, M.
N1 - Funding Information:
Acknowledgment-It is a great pleasure to acknowledge Drs S.D. Mahanti, S.A. Solin and M.F. Thorpe for critical reading of the manuscript. We are also grateful to Drs. T. Ogawa and T. Watanabe for stimulating discussions. One of us (H.M.) also acknowledges the hospitality extended to him by the faculty and staff of the Michigan Sta~e University during his stay there. This work is supported by a Grant-in-Aid for Scientific Research from the Ministry of Education, Science and Culture, Japan.
PY - 1989/10
Y1 - 1989/10
N2 - Self-similar structure is studied in the reflectivity spectrum of a semiconductor superlattice whose sequence follows the Fibonacci rule. Numerical results show that the reflectivity spectrum exhibits the self-similarity and nested structure both of which are associated with the inverse of the golden mean σ=(√5-1)/2. Within the linear approximation for the difference of the dielectric constants of constituent layers, we derive an analytic expression of the reflectivity spectrum which clearly elucidates the origin of the self-similarity and nested structure in the spectrum.
AB - Self-similar structure is studied in the reflectivity spectrum of a semiconductor superlattice whose sequence follows the Fibonacci rule. Numerical results show that the reflectivity spectrum exhibits the self-similarity and nested structure both of which are associated with the inverse of the golden mean σ=(√5-1)/2. Within the linear approximation for the difference of the dielectric constants of constituent layers, we derive an analytic expression of the reflectivity spectrum which clearly elucidates the origin of the self-similarity and nested structure in the spectrum.
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U2 - 10.1016/0038-1098(89)90802-8
DO - 10.1016/0038-1098(89)90802-8
M3 - Article
AN - SCOPUS:0024751390
SN - 0038-1098
VL - 72
SP - 241
EP - 244
JO - Solid State Communications
JF - Solid State Communications
IS - 3
ER -