The interplay of nonlinearity with lattice discreteness leads to phenomena and propagation
properties quite distinct from those appearing in continuous nonlinear systems. For a large …

This review focuses on the optical properties and device applications of deterministic
aperiodic media generated by mathematical rules with spectral features that interpolate in a …

The propagation of light in nonperiodic quasicrystals is studied by ultrashort pulse
interferometry. Samples consist of multilayer dielectric structures of the Fibonacci type and …

Physics Spectral Properties of One Dimensional Quasi-Crystals Page 1 Communications in
Commun. Math. Phys. 125, 527-543 (1989) MathβlTiatlCal Physics © Springer-Verlag 1989 …

The relationship between geometry and physical properties of aperiodic structures is
investigated by considering the example of the tight-binding Schrödinger equation in one …

A flat epitaxial silver film on a gallium arsenide [GaAs (110)] surface was synthesized in a
two-step process. Deposition of a critical thickness of silver at low temperature led to the …

We review the results of the scaling and multifractal analyses for the spectra and wave-
functions of the finite-difference Schrödinger equation: Here V is a function of period 1 and ω …

The purpose of this review is to survey the status of the theory and experiment which can
contribute to our knowledge of plasmon excitations in synthetic semiconductor …

One of the Top Selling Physics Books according to YBP Library ServicesOrder can be found
in all the structures unfolding around us at different scales, including in the arrangements of …

Periodic initial value problems of time and space discretizations of integrable partial
differential equations give rise to multi-dimensional integrable map**s. Using the …