A Fibonacci optical superlattice is analyzed which is made from a single crystal with quasiperiodic laminar ferroelectric domain structures. The second-harmonic generation in this system is studied. Because of the dispersive effect of the refractive index, the second-harmonic spectrum does not reflect the symmetry of the quasiperiodic structure and thus does not exhibit self-similarity. The existence of the extinction phenomenon constitutes one major difference between our system and heterostructure systems. A general extinction rule is also obtained.

• Received 11 April 1990

DOI:https://doi.org/10.1103/PhysRevB.42.3676