Eur. Phys. J. B 15, 625-631 (2000)
https://doi.org/10.1007/s100510051165

Properties of the peaks of second harmonic light through Fibonacci-class ferroelectric domains

¹ Department of Physics, South China University of Technology, Guangzhou 510641, P.R. China
² Physics Group, Department of Mathematics and Physics, Guangdong University of Technology, Guangzhou 510090, P.R. China
³ CCAST (World Laboratory), PO Box 8730, Beijing 100080, P.R. China

Received: 26 October 1999
Revised: 6 January 2000
Published online: 15 June 2000

Abstract

After establishing the method of constructing a class of one-dimensional (1D) Fibonacci-class quasiperiodic (FC(n)) ferroelectric domains system, we have studied the properties of the electric field of the second harmonic generation (SHG) by means of the small-signal approximation in the case of the vertically transmission. It was found that only the second harmonic light (SHL) peaks which were indexed by two special integers q and p would be the brightest and the spectra whose positions were decided by successive FC(n) integers q_F and p_F were perfect self-similar without considering the dispersive effect of the refractive index on SHL. The effect of the vacancies for some special spectral lines was also studied generally. The analytic results were confirmed by the numerical simulations.