Optical Fields in a Multilayer Microsphere with a Quasi-periodic Pascal Sequence

A. Díaz-de-Anda; G. Burlak; M. Nájera-Villeda

doi:cma/1356039032

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).

Abstract

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.

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A. Díaz-de-Anda, G. Burlak, and M. Nájera-Villeda "Optical Fields in a Multilayer Microsphere with a Quasi-periodic Pascal Sequence," Communications in Mathematical Analysis 14(2), 67-76, (2013). https://doi.org/

Published: 2013

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