Designing, optimizing and analyzing optical systems as part of the implementation process into production of modern luminaires require using advanced simulation and computational methods. The progressive miniaturization of LED (light emitting diode) chips and growth in maximum luminance values, achieving up to 108 cd/m2, require constructing very accurate geometries of reflector and lens systems producing complex luminous intensity distributions while reducing discomfort glare levels. Currently, the design process cannot function without advanced simulation methods. Today’s simulation methods in the lighting technology offer very good results as far as relatively large conventional light sources such as halogen lamps, metal halide lamps and high pressure sodium lamps are concerned. Unfortunately, they often fail in the case of chip-on-board LED light sources whose luminous surface dimensions are increasingly often contained inside a cube of the side length below 1mm. With the high sensitivity of such small chips and lenses with dimensions ranging from a just a few to between 10 and 20 mm, which is presented in this paper, modern luminance distribution measurement methods, luminance modelling and ray tracing methods should be used to minimize any errors arising from incorrectly projecting the design in the final physical model. Also, very importantly, focus should be directed towards reducing a chance of making a mistake while collimating the position of the light source inside the optical system. The paper presents a novel simulation calculation method enriched with an analysis of optical system sensitivity to a light source position. The results of simulation calculations are compared with the results of laboratory measurements for corresponding systems.

An investigation of the failure process of maraging steel grade X3NiCoTi18-9-5 produced by the SLM method that is subjected to various three-dimensional stress-states has been carried out. In this paper, deformations and damage evolution are analysed experimentally and numerically. Three microstructures of the SLM steel were obtained after the appropriate heat treatment. Tensile tests of smooth specimens and axisymmetric notched specimens have been performed. Numerical models of the samples with ring notches were made in order to determine the stress state and displacement field in the notch area at the moment of the sample’s breakage as well as to compare the experimentally determined effective strain in the notch after the sample’s breakage with the deformation being calculated on the basis of the numerical solution. As a result of the research, it was found that the type of fracture of samples obtained from X3NiCoTi18-9-5 steel powder by the SLM method depends on the size of the ring notch’s radius. Based on the performed numerical calculations and experimental tests, it was found that, for each of the analysed variants of heat treatment, it was possible to indicate the approximate limit value of triaxiality factor T_f, above which there is a scrap of brittle X3NiCoTi18-9-5 steel produced by the SLM method. This value is determined by the characteristic bending of the function that determines the relationship between triaxiality factor T_f and effective strain e_eff.