Raman scattering in Fibonacci superlattices

1987/04/27 by M. W. C. Dharma‐wardana, A. H. MacDonald, D. J. Lockwood +2 · 119 citations
Materials Science · Earth and Planetary Sciences · Mathematics · #Quasicrystal Structures and Properties #Mineralogy and Gemology Studies #X-ray Diffraction in Crystallography #Fibonacci number #Superlattice #Fourier transform #Raman scattering #Phonon #Condensed matter physics #Physics #Lattice (music) #Scattering #Raman spectroscopy #Position (finance) #Materials science #Optics #Quantum mechanics #Combinatorics #Mathematics

paper · doi:10.1103/physrevlett.58.1761

published in Physical Review Letters 58(17), 1761-1764 (American Physical Society)

openalex publication_date 1987/04/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/06/26

Abstract

Raman scattering from acoustic phonons in Si-Ge_xSi_1\mathrm\ensuremath-x Fibonacci superlattices is reported. The main features of the experimental results are determined by the Fourier components of the dependence on position along the growth direction of the photoelastic coefficient. An analytic expression for the Fourier transform of any function of position in a Fibonacci lattice is used to interpret the experimental results.

Citations

• Quasicrystals: A New Class of Ordered Structures
• Metallic Phase with Long-Range Orientational Order and No Translational Symmetry

Cited by

• Photonic quasicrystalline and aperiodic structures
• Fibonacci word [wikipedia]
• Tessellation [wikipedia]