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On considere une discretisation speciale d'une equation non lineaire du type de Monge-Ampere avec un second membre f non negatif et des donnees de Dirichlet. On propose une methode iterative… (More)

Consider a reflector system consisting of a reflecting surface R, a point light source O and some object T. Suppose that the source O, reflector R and object T are positioned so that the rays… (More)

We consider the problem of recovering a closed convex reflecting surface such that for a given point source of light (inside the convex body bounded by the surface) the reflected directions cover a… (More)

Abstract The boundary value problem y ″ + f ( x , y ) = 0 αy (0) − βy ′(0) = 0 γy (1) + δy ′(1) = 0 is studied under conditions which are modeled on the problem y ″ + a ( x ) y − p = 0 y (0) = y (1)… (More)

- Vladimir Oliker
- 1984

- Vladimir Oliker
- International Optical Design Conference
- 2006

The problem of design of a reflector system for redirecting and reshaping the irradiance distribution of a point source over a prescribed target set in the near-field is considered. The solution of… (More)

- Vladimir Oliker
- 2002

In this paper we consider a special class of convex hypersurfaces in Euclidean space which arise as weak solutions to some inverse problems of recovering reflectors from scattering data. For this… (More)

Abstract. Let
$O$ be a nonisotropic point source of light, and
$I(m)$ the power intensity of this source in direction
$m$. Suppose that the light rays emitted by the source
$O$ through an… (More)

Abstract.Consider a point source of light O radiating with intensity I(m) in direction m. Let R be a perfectly reflecting smooth surface. Suppose that a light ray emitted by the source O in direction… (More)