Gradient calculation of refracting B-spline surface generating prescribed irradiance distribution
L.L. Doskolovich, M.A. Moiseev

Image Processing Systems Institute of the RAS,
Samara State Aerospace University

Full text of article: Russian language.

The article is devoted to the gradient method of refractive surface calculation. The radius vector of refractive surface is described by the B-spline function in spherical coordinates. The optical elements generating uniform irradiance distribution in elliptical and rectangular areas are calculated. Energy effectiveness of the optical elements is about 89 %, nonuniformity of irradiance – less than 9 %.

Key words:
refracting surface, irradiance distribution, bicubic spline, gradient method.


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