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Analytical Expression for the Fourier Spectrum of a Quasiperiodic Fibonacci Superlattice with k Components (k ≤ 3)
Author(s) -
Wei Hong,
Zhang Chao,
Zhu Yongyuan,
Zhu Shining,
Ming Naiben
Publication year - 2002
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/1521-3951(200202)229:3<1275::aid-pssb1275>3.0.co;2-e
Subject(s) - quasiperiodic function , fibonacci number , superlattice , quasicrystal , fourier transform , parametric statistics , fourier analysis , physics , fourier series , optics , mathematics , condensed matter physics , mathematical analysis , combinatorics , statistics
The two‐component quasiperiodic optical superlattice has been proved useful to some coupled parametric processes such as the direct third‐harmonic generation. In this paper a three‐component quasiperiodic superlattice has been studied theoretically. Using the projection method, the analytical expression of its Fourier spectrum has been deduced. The results might be conducive to the design of nonlinear optical devices related to the coupled parametric processes, such as the fifth‐harmonic generation.