This paper investigates the deformation of the eld transmitted through a square law medium waveguide. We consider the situation where the center of the waveguide randomly oscillates around the optical axis or the radius of the waveguide randomly pulsates. The random perturbations are small, but the waveguide is long, which gives rise to a macroscopic eeect of the inhomogeneities. This eeect is ...

Machine vision can greatly benefit from the development of accurate reflectance models. There are two approaches to the study of reflection: physical and geometrical optics. While geometrical models may be construed as mere approximations to physical models, they possess simpler mathematical forms that often render them more usable than physical models. However, geometrical models are applicabl...

The effect of (1) initial imperfections and (2) material degradation reinforced concrete columns on their safety in emergency situations was investigated. research limited to low- medium-flexibility columns. Numerical modeling proven regulatory methods analysis were applied determine the ultimate bearing capacity, taking into account supplementary dynamic loading by a longitudinal force bending...

Motivated by the problem of predicting the release kinetics of matrix tablets, we study random walks on the contact graph of a random sphere packing of spheres of two sizes. For a random walk on the unweighted graph that terminates in a specified target set, we compare the euclidean distance covered to the number of steps. We find a linear dependence of the former on the latter, with proportion...

We investigate the transition to quantum chaos, induced by static imperfections, for an operating quantum computer that simulates efficiently a dynamical quantum system, the sawtooth map. For the different dynamical regimes of the map, we discuss the quantum chaos border induced by static imperfections by analyzing the statistical properties of the quantum computer eigenvalues. For small imperf...