INTEGRAL APPROXIMATING SUMS FOR GONIOPHOTOMETRIC MEASUREMENTS

摘要

Due to the events of the past several years new demands for goniophotometric measurements arose for light emitting diodes (LEDs), LED modules, LED lamps and LED luminaires. The usual methods for measuring the efficacy of luminaires cannot be used for most LED luminaires, but the total luminous flux of the entire LED luminaires has to be determined instead. Guidance for goniophotometric measurements can be found in CIE publications (CIE 1987, CIE 1989, CIE 1996) Formulae for calculating the integral of total luminous flux in a spherical coordinate system, directly applicable in practice, can only be found in CIE 1989. In the paper accuracy and error estimation of the integral approximating sums applicable for data of goniophotometric measurements are analyzed and the CIE's tools are completed by new summing formulae. Theoretical results are demonstrated by series of examples.