ABSTRACT
In this chapter, we discuss nanophotonic devices based on the
Thue-Morse sequence. This sequence has some peculiar theoretical
properties related to the singular-continuous measure of its Fourier
transforms that improve the optical properties compared with their
periodic counterparts. The distinctive spatial distribution of optical
mode, which are neither extended nor localized, and the complex
bandgap structures of the energy spectrum open new avenues
to design more versatile optical devices. On this basis, optical
multilayers based on the Thue-Morse sequence have been exploited
as omnidirectional mirrors, chemical sensors, and light-emitting
devices. The square tiling based on the Thue-Morse sequence has
also been discussed, and we show how the possibility to modulate
the aperiodicity enhances the lasing effect.
