Monte Carlo Simulation of Illuminance Distribution in a Cubic Interior with Interreflection

概要

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Monte Carlo simulation (MCS) can be a powerful technique to obtain practical illuminance distribution in an interior, particularly for complicated one with interreflections. Applications to the two dimensional problems within a cross section of an interior of infinite length, which are most convenient for MCS of course, have already been reported. In this paper, a fundamental study for the illuminance distribution in a cubic interior with various reflectances is carried out by means of Monte Carlo simulation. The illuminance distribution obtained by MCS inevitably includes statistical fluctuation. However, asymmetry and uneven distribution due to the statistical procedure of MCS can be reduced by increasing the number of emitting photon bundles and the interreflection. Under several model interreflections, it is shown that the MCS results that emitting the photon bundles of 6×10^6 in a cubic interior of 6 m^2 composed of 6×1,600 area elements can provide illuminance distribution being precise enough to be used for the practical lighting design.
社団法人照明学会の論文