Quasiperiodic structures via atom-optical nanofabrication

Nanofabrication of optical structures and devices for photonics and biophotonics

Nanofabrication offers promise for the design of artificial materials with optical properties unlike those of materials occurring in nature and for the design of new and exotic optical devices. We describe some specific ideas for applications in this area, and present some laboratory results on the development of these applications.

Nanofabrication of plasmonic structures.

This review focuses on nanofabrication tools, based on soft lithography, which can generate a wide range of noble-metal structures with exceptional optical properties. These techniques offer a scalable and practical approach for producing arrays of complementary plasmonic structures (nanoholes and nanoparticles) and, in addition, expand the possible architectures of plasmonic materials because ...

Atom structures

The atom structure of an atomic boolean algebra with operators is some canonically defined frame or relational structure that is based on the set of atoms of the algebra. We discuss the relation between varieties of boolean algebras with operators and the induced class of atom structures. Our main result states that for a variety V of boolean algebras with conjugated operators, the correspondin...

Quasiperiodic Structures Obtained by the Projection Method

Gap solitons in quasiperiodic optical lattices.

Families of solitons in one- and two-dimensional (1D and 2D) Gross-Pitaevskii equations with the repulsive nonlinearity and a potential of the quasicrystallic type are constructed (in the 2D case, the potential corresponds to a fivefold optical lattice). Stable 1D solitons in the weak potential are explicitly found in three band gaps. These solitons are mobile, and they collide elastically. Man...