We now consider the problem of the appearance of a black hole formed by a collapsing star. Our interest today lies entirely with the appearance of the star long after its collapse, or alternatively of the radiation emitted as the star crosses the Schwarzschild radius. We first show that in geometric optics, the surface of the doomed star remains forever visible with exponentially decreasing bri...

We develop geometric optics expansion up to the subleading order for circularly polarized electromagnetic waves on curved spacetime. This expansion, in which conventional eikonal function is modified by inserting a carefully chosen helicity-dependent correction, called spin optics. derive propagation and polarization equations approximation as travel Polarization-dependent deviation of light ra...

Complex geometric optics solutions to a system of d-bar equations appearing in the context electrical impedance tomography and scattering theory integrable Davey-Stewartson II are studied for large values spectral parameter k. For potentials q ∈ ⋅ − 2 H s ℂ some 1 , it is shown that solution converges as series / k . being characteristic function strictly convex open set with smooth boundary, t...

In this investigation the aim is to broaden the space of optics for Low Concentrating Photovoltaic applications. The main target is to achieve the concentration of sunlight uniformly over a large photovoltaic receiver. To solve this problem we implemented a Monte-Carlo method and defined a new parameter in order to facilitate the analysis of irradiance distributions. The geometric parameters to...

The theory of measurement is employed to elucidate the physical basis of general relativity. For measurements involving phenomena with intrinsic length or time scales, such scales must in general be negligible compared to the (translational and rotational) scales characteristic of the motion of the observer. Thus general relativity is a consistent theory of coincidences so long as these involve...

A beam of light, reflected at a planar interface, does not follow perfectly the ray optics prediction. Diffractive corrections lead to beam shifts; the reflected beam is displaced (spatial Goos-Hänchen type shifts) and/or travels in a different direction (angular Imbert-Fedorov type shifts), as compared to geometric optics. How does the degree of spatial coherence of light influence these shift...