Authors
Bajnev V.
|
Degree
|
graduate student, Department of Automated information processing systems and Management, Institute of Electronic and Light Engineering, National Research Ogarev Mordovia State University |
|---|---|
|
E-mail
|
bw14@mail.ru |
|
Location
|
Saransk |
|
Articles
|
Modeling halogen lampsThe current state of halogen incandescent lamps and their features are discussed. The mathematical model of heat transfer and programming model for analysis and modeling of processes in halogen incandescent lamps are described. Read more...The program realization of optic models for design of lighting devices
The article deals with the possibilities of three-dimensional modeling in the modern light device design.
Light device’s optical system is used to distribute light. They have different construction, functionality,
light curve types, and calculation methods. Light distribution defines purpose and class of
light device. The optical calculation is based on tracing of light rays through light device’s optical
system model. The calculation quality depends on the number of emitted rays. It’s necessary to trace
(reflect, refract, absorb) each light ray over light device model. It is usually set by triangular meshes.
However usage of the large number of small triangles slows the calculation process. Thereby a new
optical system geometry model was developed. It allows to determine light device and provides fast
and high-precision calculation using combination of usual triangular mesh model and simple shapes,
i.e. planes, spheres, cones, torus, etc, or its parts. Also the algorithm to transform one model type to
another is described. It is based on heuristic analysis of sequential shape imposition and uses the support
vector machine. The developed model and algorithm can accelerate the calculation of complex
light device several times.
Read more...
Computer modeling and calculation of LED lighting systems
The article describes the optical system for the light-emitting diodes. Analyzed the features of the secondary
use of the optical elements in the form of lenses and prisms for different LED emission patterns
in space. Formulated the requirements imposed on the optical elements. The paper considers the problem
of designing modern lighting devices and optical systems. Analysis of the development of lighting devices
shows that the main stage in their development is the calculation of the optical system, the results
of which largely determine the lighting fixtures and functional characteristics. Application and development
of specialized software for the calculation and simulation of lighting 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 of lighting devices.
Building an extended triangulation grid facilitates the approximation of smooth surfaces of the optical
element and the photometric body. The software package is carried out modeling of LED optical systems
and luminaires based on them using surface models, ray tracing and calculation of photometric body.
Read more...
Hierarchical structures and their computer implementation in the calculation of LED optical systems
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.
Read more...
Implementation and optimization of the ray tracing algorithm in the optical systemLighting devices represent a wide group of lighting products, the main role of the optical system
is to perform the redistribution of light from a light source. Optical calculation of such systems is reduced
to tracing the light rays emitted by light sources, based on their geometric models. The analytical
approach can be used only for very simple forms of optical systems. For the demanded LED lighting
devices, lenses and reflectors are used as optical elements. They allow to obtain various radiation
patterns of LEDs. However, their shape can be very complex. In this case, to simulate the propagation
of radiation in the form of ray tracing, it is advisable to use specialized algorithms. For ray tracing, a
preliminary approximation of the surface by triangular elements is needed, as a result a triangulation
grid is obtained. The search algorithm for the intersection of the ray with the surface is reduced to a
sequential enumeration of all the triangles that make up the optical system of the device, and checking
for the intersection of the ray with the current triangle. The algorithm consists in repeated simulation
of random ray trajectories in the studied medium. The article is also devoted to the description
of the developed algorithm for ray tracing in the optical system and aspects of its implementation in a
C# program. The described algorithm is accompanied by listings and schematic images. This method
allows you to simulate the interaction of light rays with the optical system of the light device and to
obtain the desired light distribution.
Read more...
Application of the kd-trees for the ray tracing optimization in the optical systemThe article is devoted to the description of the developed method and algorithm for finding the intersection
of a ray with a triangle based on kd-trees. The algorithm allows to reduce the number of
viewed items when searching, to speed up the process of searching for the intersection of the beam
with a certain area. Here are considered the advantages and disadvantages of kd-trees, the most popular
types of trees, their advantages and disadvantages. The author introduced the necessary abstractions
for optimizing structures that allow accelerating ray tracing, and describes the implementation of
the ray tracing algorithm based on kd-trees. The quality assessment of the constructed tree was made.
An example is given of determining the best location of the section plane for a group of elements limited
to one volume only. The algorithm for counting the number of elements to the left and right of
the partition plane is described. Analyzed aspects of the implementation of the algorithm in terms of
assessing its complexity. An algorithm for traversing a kd-tree, based on recursion, has been developed.
These algorithms can significantly accelerate the process of modeling the ray tracing in the optical
system of a light device for further analysis of its lighting characteristics.
Read more...
|
