Abstract The reflection and refraction phenomenon of propagation waves in couple stress micropolar thermoviscous elastic solid media with independent viscoelastic properties have been studied. structure the model has taken such that plane interface is divides given into two half spaces perfect contact. Here, we find there are five waves, one them propagating independently while others set coupl...

Modern management of congenital cataracts which interfere with vision consists of early removal of the cataract and correction of the refractive error by contact lenses or glasses (Parks and Hiles, I967; Von Noorden, Ryan, and Maumenee, I970). Skiascopic postoperative refraction of aphakic infants cannot always be performed satisfactorily because the opening is sometimes small and irregular and...

The collision of a shock with a material interface produces a variety of complicated refraction patterns. In this article, transitions from self-similar refractions to more complicated con gurations are studied using an approximate scattering analysis. This analysis suggests that there are ve di erent regimes for the transition from a regular self-similar wave to a composite irregular wave. Two...

The theory of shock dynamics in two dimensions is reformulated to treat shock propagation in a non-uniform medium. The analysis yields a system of hyperbolic equations with source terms representing the generation of disturbances on the shock wave as it propagates into the fluid non-uniformities. The theory is applied to problems involving the refraction of a plane shock wave at a free plane ga...

Radio wave propagation involved in Global Navigation Satellite System Reflectometry (GNSS-R) is subject to atmospheric refraction. Even for ground-based tracking stations, applications such as coastal sea-level altimetry, the interferometric or reflection-minus-direct effect might be significant. Although delays are best investigated numerically via raytracing, including reflections, a procedur...

Light has a fascinating property: it always travels the path that takes least time between any two points. This is motivating property behind optical phenomena such as reflection and refraction. The unreasonable economic efficiency of light captured by single proposition: principle action (PLA) in optics. Unlike refraction, which emerge from optimizing one-dimensional function, PLA emerges an i...

The behaviour of light at the interface between different materials underpins the entire field of Optics. Arguably the simplest manifestation of this phenomenon – the reflection and refraction characteristics of (infinitely-wide) plane waves at the boundary between two linear dielectric materials – can be found in many standard textbooks on electromagnetism (for instance, see Ref. 1). However, ...

This paper presents the effects of two-dimensional bathymetry on evolution skewness and kurtosis surface elevation velocity field in long-crested irregular waves propagating over a circular shoal submerged bar with semicircular step. For shoal, we show that has local maximum top shoal. We find horizontal similar behaviour to elevation, but two maxima at different locations lee side step, which ...