Backward lateral displacement of an ultrasonic beam reflected from a liquid‐solid interface

A Uniform Asymptotic Solution for Lateral Displacement of a Gaussian Beam at a Dielectric Interface

Focal shift of convergent ultrasonic beams reflected from a liquid- solid interface

In 1947, Goos and H•inchen • reported the first experimental evidence of the lateral displacement of a light beam upon total internal reflection. Only a few years later, Schoch 2 found the acoustical equivalent ofthis phenomenon by schlieren photography. Schoch's results showed that the center of an ultrasonic beam reflected from a liquid-solid interface is displaced by a certain amount along t...

Negative and positive lateral shift of a light beam reflected from a grounded slab.

We consider the lateral shift (LS) of a light beam reflecting from a dielectric slab backed by a metal. It is found that the LS of the reflected beam can be negative while the intensity of reflected beam is almost equal to the incident one under a certain condition. The explanation for the negativity of the LS is given in terms of the interference of the reflected waves from the two interfaces....

Altitude measurement using laser beam reflected from water surface

In this paper altitude measurement from water surface using laser beam is presented. Research data indicate that the reflection of infrared waves from water surface is about zero and it is less than 2% for visible radiations. Phase-shift and heterodyne technique was used for the measurement, and the laser beam ( mW p nm 10 , 700 = = l ) was modulated by a sine wave having a fixed frequency....

Reflected Generalized Backward Doubly

In this paper, a class of reflected generalized backward doubly stochastic differential equations (reflected GBDSDEs in short) driven by Teugels martingales associated with Lévy process and the integral with respect to an adapted continuous increasing process is investigated. We obtain the existence and uniqueness of solutions to these equations. A probabilistic interpretation for solutions to ...