Open Access
Translator Disclaimer
2013 Optical Fields in a Multilayer Microsphere with a Quasi-periodic Pascal Sequence
A. Díaz-de-Anda, G. Burlak, M. Nájera-Villeda
Commun. Math. Anal. 14(2): 67-76 (2013).


We studied numerically the frequency spectrum of photons in a multilayered microsphere coated by a quasiperiodic (Pascal) dielectric stack. It is found that the transmittancy spectrum of such a stack consists of quasiband gaps and narrow resonances caused by re-reflection of optical waves. When the number (Pascal order) of layers increases, the band gaps and resonances split, and the structure of the frequency spectrum acquires a fractal form. Some parts of the spectrum show the self-similarity in the different frequency scales.


Download Citation

A. Díaz-de-Anda. G. Burlak. M. Nájera-Villeda. "Optical Fields in a Multilayer Microsphere with a Quasi-periodic Pascal Sequence." Commun. Math. Anal. 14 (2) 67 - 76, 2013.


Published: 2013
First available in Project Euclid: 20 December 2012

zbMATH: 1264.78024
MathSciNet: MR3011520

Primary: 65N25, 74J05 , 78A25, 78A40

Keywords: coated microsphere , numerical calculations , Pascal layers , quasiperiodic multilayered stack

Rights: Copyright © 2013 Mathematical Research Publishers


Vol.14 • No. 2 • 2013
Back to Top