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Calculation of Light Distribution of a Conventionally Point Light Source in an Arbitrarily Oriented Coordinate System L&E 28 (2) 2020

Light & Engineering 28 (2)

Volume 28
Date of publication 04/13/2020
Pages 106–112

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Calculation of Light Distribution of a Conventionally Point Light Source in an Arbitrarily Oriented Coordinate System L&E 28 (2) 2020
Articles authors:
Sergey V. Prytkov, Alexei V. Syromyasov

Sergey V. Prytkov, Ph. D., graduated from the Ogarev Mordovia State University in 2010. At present, he is an Associate Professor of the Light and Engineering Department. His place of employment at Ogarev Mordovia State University is Department Lighting Engineering in Institute of Electronics and Lighting Engineering. His research interests are metrology of optical radiation, development of metrological complexes for measuring photometric and colorimetric characteristics of visible radiation, energy and effective values of ultraviolet radiation, lighting calculation

Alexei V. Syromyasov, Ph.D. in Physical and Mathematical Sciences, Associate Professor, graduated from the N.P. Ogaryov Mordovia State University in 2004. At present, he is the Associate Professor of the Applied Mathematics, Differential Equations and  Theoretical Mechanics sub-department of the N.P. Ogaryov Mordovia State University. His research interests are mathematical and computer models of physical and technical processes

The article reviews calculation of total light distribution of several light sources (LS), which are differently oriented in space with their locations conventionally 1 being the same. It is proposed that luminous intensity curves (photometric body) of LSs are described in IESNA format (or in the format of tables, which is basically the same). Two methods of solving the problem are proposed. The first one is related to preliminary trigonometric interpolation of luminous intensity curves for each LS performed by means of discrete Fourier transformation (DFT). The second one is based on piecewise-linear interpolation of this curves using Delaunay triangulation. Both methods may be implemented by means of popular mathematic software (such as Wolfram Mathematica or Octave) and their applicability is confirmed experimentally.
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