Construction principle of a nonimaging optical system of an illuminating device

Гапеева А.В., Зверев В.А., Тимощук И.Н. Принцип построения “неизображающей” оптической системы осветительного устройства // Оптический журнал. 2013. Т. 80. № 12. С. 17–21.

Gapeeva A. V., Zverev V. A., Timoshchuk I. N. Construction principle of a nonimaging optical system of an illuminating device [in Russian] // Opticheskii Zhurnal. 2013. V. 80. № 12. P. 17–21.

A. V. Gapeeva, V. A. Zverev, and I. N. Timoshchuk, "Construction principle of a nonimaging optical system of an illuminating device," Journal of Optical Technology. 80(12), 731-734 (2013).  https://doi.org/10.1364/JOT.80.000731

It is shown that, if (like the point-spread function in imaging optics), the relative brightness distribution in a radiation source of finite size is taken as the nonimaging display function, the actual surface-illuminance distribution is determined by the integral of the convolution of the nonimaging display function with the surface-illuminance distribution by a point source. This paper discusses the use of a reflecting surface to equalize the surface illuminance, irrespective of its imaging properties.