Optical freeform surfaces are very popular today in such fields as lighting systems, sensors, photovoltaic concentrators, and others. The application of such surfaces allows to obtain systems with a new quality with a reduced number of optical components to ensure high consumer characteristics: small size, weight, high optical transmittance. This article presents the methods of synthesis of refractive surface for a given source and the radiation pattern of various shapes using a computer simulation cubic spline interpolation.
Interpolation and approximation methods for freeform surface synthesis are analyzed using the developed software tool.
Special computer tool is developed and results of freeform surface modeling with piecewise linear interpolation,
piecewise quadratic interpolation, cubic spline interpolation, Lagrange polynomial interpolation are considered. The
most accurate interpolation method is recommended. Surface profiles are approximated with the square least method.
The freeform systems are generated in optical design software.