The Hodge equations for 1-forms are studied on Beltrami’s projective disc model for hyperbolic space. Ideal points lying beyond projective infinity arise naturally in both the geometric and analytic arguments. An existence theorem for weakly harmonic 1-fields, changing type on the unit circle, is derived under Dirichlet conditions imposed on the non-characteristic portion of the boundary. A sim...

Underwater, natural illumination typically varies strongly temporally and spatially. The reason is that waves on the water surface refract light into the water in a spatiotemporally varying manner. The resulting underwater illumination field forms a caustic network and is known as flicker. This work shows that caustics can be useful for stereoscopic vision, naturally leading to range mapping of...

Galactic Exoplanet Survey Telescope (GEST) was proposed for a discovery mission to search for microlensing terrestrial planets toward the Galactic bulge and also Kuiper Belt Objects (KBOs) that are believed to hold vital information of the early history of the solar system. Microlensing planet search method is hinged on photometric singular behavior of lensing (refraction) that is due to discon...

We consider the problem of an elliptical background source crossing a linear gravitational lensing fold caustic. We derive a simple expression for the light curve of a source with a uniform surface brightness that is accurate to third order in the ellipticity e (yielding brightness errors of . 1% for e . 0.3). We then consider caustic crossings of a rotating star, an oblate giant extrasolar pla...

Accidental corrosive ingestion is one of the common problems causing serious esophageal strictures in children. The acute phase treatment has a great effect on stricture development. In this study we aim to present our experience in the management of caustic ingestion, particularly during the acute phase. From January 1990 to January 2005, 296 children were admitted to our clinic with caustic i...

A case is reported of a patient who developed full thickness chemical burns of the skin after a prolonged contact while working with wet cement. The history, course of disease, and therapy are described. Cement is an alkaline substance (pH >12) leading to colliquative necrosis. Tissue damage is due to the exothermic reaction of calcium oxide and water forming calcium hydroxide. Patch test was p...