A gradient method for solving problem of focusing light from extended source to the 2D region
А.А. Belousov, L.L. Doskolovich

Image Processing Systems Institute оf the RAS, Samara, Russia,
Samara State Aerospace University (SSAU), Samara, Russia

Full text of article: Russian language.

A computational method for refracting surfaces is considered to form required illuminance distributions from extended light sources. The method is based on surface representation by means of distribution of the light field eikonal in adjacent plane and approximation of a radiation source by the set of points. The eikonal is defined as a polynomial. Calculation of a refracting surface is based on the gradient minimization of an error functional that represents the difference between calculated and required field illuminance. For the gradient of the error functional, an analytical expression is obtained. The refracting surface is calculated to form continuous illuminance distribution of an area.

Key words:
Illumination design, nonimaging optics, geometric optical design, optimization.

Belousov AA, Doskolovich LL. A gradient method for solving problem of focusing light from extended source to the 2D region [In Russian]. Computer Optics 2007; 31(3): 20-26.


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