On Refracted Waves (I)

Kikuchi / Refracted

Localization of Classical Waves I : Acoustic Waves

We consider classical acoustic waves in a medium described by a position dependent mass density %(x). We assume that %(x) is a random perturbation of a periodic function % 0 (x) and that the periodic acoustic operator A 0 = ?r 1 % 0 (x) r has a gap in the spectrum. We prove the existence of localized waves, i.e., nite energy solutions of the acoustic equations with the property that almost all ...

On Plane Waves for Mode-I Crack Problem in Generalized Thermoelasticity

A general model of the equations of generalized thermoelasticity   for an infinite space weakened by a finite linear opening Mode-I crack is solving. The material is   homogeneous and has isotropic properties of elastic half space. The crack is subjected to prescribed temperature and stress distribution. The formulation is applied to generalized thermoelasticity theories, the Lord-Şhulman...

Optical fiber index profiles by the refracted-ray method (refracted near-field scanning).

This paper has two primary purposes. First, it provides an elementary description and tutorial overview of the refracted-ray method of measuring fiber index profiles. Second, it presents new results concerning the theoretical foundation, the linearity and precision, and other aspects of the method. In particular, we find that index differences may be measured to 5% or better and conclude by sho...

Type I and type II second harmonic generation of conically refracted beams.

Type I and type II second harmonic generation (SHG) of a beam transformed by the conical refraction phenomenon are presented. We show that, for type I, the second harmonic intensity pattern is a light ring with a point of null intensity while, for type II, the light ring possesses two dark regions. Taking into account the different two-photon processes involved in SHG, we have derived analytica...