Abstract
In the preceding reports, the author described the analytical and experimental results of the over-all interflection in the V-shaped grooves and conical cavities. But an examination of the interflection and color shift in detail shows that there will be quite large difference in the reflection and chromaticity between the district close to the apex and one close to the opening.
He divides the inside surfaces of the cavities into ten parts and calculates shape factors for them. And assuming all surfaces are diffuse, he transforms linear simultaneous equations into matrices, that is, luminous transfer matrix, response vector and excitation vector as Prof. O' Brien showed before, and solves them to obtain the final luminous emittances, effective reflectances and chromaticities.
In the process of the calculation, figures of the shape factors of the V-shaped grooves are exact, but those of the conical cavities are approximate, because they are calculated by simpson's rule due to impossibility of mathematical integration.
He shows these results in figures and compares them with the former calculation and measured results. From these figures, it is easily found that better analytical results are obtained in the latter case.
Next, from the goniometric measurement of the reflection of the V-shaped grooves, non-coated and primer coated specimens are found to have a considerable amount of specular reflection and so, he makes equations including this component and calculates their comparison.
But, the figures in which the above-mentioned results are represented indicate that more of specular reflection should be considered.
