周回積分法による直射照度の算出

抄録

In this paper the methods of illuminance calculation are discussed by means of Stokes' theorem.
The authors present the general expressions of illuminance calculation by the use of an integral of the inverse of the square of the distance around the contour of a surface source.
A new vector function T is introduced in order to obtain these expressions. The function is defined by T={-rr} (n_P·r) / r³.
Variable r is the distance between irradiated surface and contour of the surface source.
Variable t is the unit vector of r, while n^p, is the unit normal vector of the irradiated surface.
It is shown that Kamisaka's expressions are directly proved by the use of Stokes' theorem and the vector function T.