The paper considers the problem of design of modern light devices based on LED and its optical
systems. The main stage in its development is the calculation and modeling of the optical system.
The results of this process are largely determined by the complex of lighting, thermal and functional
characteristics of light devices. The development of modern LED light devices is inextricably linked
with the use of specialized software. The article describes a mathematical model of the geometry of
an optical system that allows to specify its shape for further design and provides a fast and accurate
lighting calculation. The developed software allows you to build optical surface models, perform ray
tracing and calculate photometric body. The article describes the simulation of LED optical systems
by the example of secondary LED optics. Application and development of specialized software for
the calculation and simulation of light devices significantly facilitates and speeds up the process of
their design. The paper presents a mathematical model developed by the software system, described
in the hierarchical structure of the simulation geometry LED modules and light devices. Light device
in a hierarchical structure represented by the root element of the tree, where the housing, the optical
system, a light source, protective glass, suspension assembly, and others are nodes. The affine transformation
using for the calculate of the absolute position of nodes. The geometry of the nodes is modeled
using triangulation grids.
Key words
LED, LED module, optical system, lens, reflector, light device, calculation, program complex, hierarchical structure, modeling.