Abstract

By applying the analyzing method introduced in the author’s last paper, “New Calculating System for Illuminance due to Flat Surface Source (1),” a formula can be developed for various types of spatial illuminance due to a flat surface source, with arbitrary shapes and located at arbitrary positions, using the same method as in the case of horizontal illuminance. Regarding errors between theoretical values of spherical illuminance obtained by this formula and approximation obtained by averaging illuminances in 6 directions, the smaller the subtending angle in the luminous front of the source, such as from flood-lighting, the greater the likelihood for error. However, the degree of the error can be significantly reduced by assuming a minute 26-sided polyhedron which interpolates directions at 45 degrees, and applying a method in which all products of illuminance and area ratio are averaged.

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