Rendering refractive caustics from transparent objects on opaque objects is computationally intensive. This paper presents a fast rendering technique for transparent objects and refractive caustics due to transparent objects on the opaque object. To calculate the intensities of caustics, we set virtual planes around the opaque object and store the intensities of caustics on the virtual planes a...

The optical method of caustics as applied to the measurement of the J integral in plastically deforming materials was studied numerically and experimentally. The numerical calculations modeled a cracked body loaded under Mode I, plane stress, small scale yielding conditions. The results were used to generate simulated optical patterns for caustics obtained from both inside and outside the crack...

We study the problem of gravitational lensing by binary galaxies, idealized as two isothermal spheres. In a wide binary, each galaxy possesses individual tangential, nearly astroidal, caus-tics and roundish radial caustics. As the separation of the binary is made smaller, the caustics undergo a sequence of metamorphoses. The first metamorphosis occurs when the tangential caustics merge to form ...

The optical methods of Caustics, Photoelasticity and Isopachics for the evaluation of the stress intensity factors and the distribution of the principal stresses at a bi-material interface crack-tip, were proposed. The caustics, isochromatic and isopachic fringes are developed from the stress field which results from a stress function X(r, ). When the crack-tip, which is perpendicular to interf...

In order to synthesize realistic images of scenes that include water surfaces, the rendering of optical effects caused by waves on the water surface, such as caustics and reflection, is necessary. However, rendering caustics is quite complex and time-consuming. In recent years, the performance of graphics hardware has made significant progress. This fact encourages researchers to study the acce...

Caustics are patterns of light focused by reflective or refractive objects. Because of their visually fascinating patterns, several methods have been developed to render caustics. We propose a method for the quick rendering of caustics formed by refracted and converged light through transparent objects. First, in the preprocess, we calculate sampling rays incident on each vertex of the object, ...

In recent years, much work was devoted to the design of light editing methods such as relighting and light path editing. So far, little work addressed the target-based manipulation and animation of caustics, for instance to a differently-shaped caustic, text or an image. The aim of this work is the animation of caustics by blending towards a given target irradiance distribution. This enables an...

We study classical and quantum caustics for systems with quadratic Lagrangians of the form L = 1 2 ẋ − 1 2 λ(t)x − μ(t)x. After deriving the transition amplitude on caustics in a closed form, we consider the Gaussian slit experiment and point out that the focusing around caustics is stabilized against initial momentum fluctuations by quantum effect. PACS codes: 02.30.Hg; 03.65.-w; 03.65.Sq

We consider the problem of lensing by binary galaxies idealized as two isothermal spheres. This is a natural extension of the problem of lensing by binary point masses first studied by Schneider & Weiss (1986). In a wide binary, each galaxy possesses individual tangential, nearly astroidal, caustics and roundish radial caustics. As the separation of the binary is made smaller, the caustics unde...

Waves propagating in a medium with highly variable refractive index tend to focus forming caustics. The energy content of the waveeeld in the vicinity of a caustic is higher than that of the ambient eld away from the caustic. Consequently, waves scattering from heterogeneities located near caustics have more energy than a eld scattering a little further away from the caustic. For a suitable cho...