Ray Propagation in a Linearly Moving Inhomogeneous Layered Medium

Wave Propagation in an Inhomogeneous Medium

Propagation of a finite optical beam in an inhomogeneous medium.

The first part of this paper is devoted to extending the Huygens-Fresnel principle to a medium that exhibits a spatial (but not temporal) variation in index of refraction. Utilizing a reciprocity theorem for a monochromatic disturbance in a weakly inhomogeneous medium, it is shown that the secondary wave-front will be determined by the envelope of spherical wavelets from the primary wavefront, ...

On the Propagation of Calcium Waves in an Inhomogeneous Medium

Although the exact details are disputed, it is well established that propagating waves of increased intracellular free Ca2+ concentration arise from a positive feedback or autocatalytic mechanism whereby Ca2+ stimulates its own release. Most previous modeling of the propagation of Ca2+ waves has assumed that the sites of autocatalytic Ca2+ release, the activation sites, are homogeneously distri...

Electromagnetic Wave Propagation in a Moving Chiral Medium

We analyze the propagation of an electromagnetic plane wave through a chiral medium moving with a constant velocity and endowed with the Post constitutive relations. The covariance under the Lorentz group of Maxwell’s equations and of Post’s relations is used to transform the electromagnetic fields in the moving frame into fields in the frame of a fixed observer. The physical consequences of th...

Modeling and Analysis of Ultrasound Propagation in Layered Medium

For many medical applications of ultrasonic devices, it is often of interest to determine the distortion of ultrasound waves due to tissue layers of fat and muscle. Bending of the acoustic rays due to refraction at intermediate layers degrades image resolution, causes distortion and other artifacts in ultrasound images. In this work, ultrasound propagation in layered media is modeled analytical...