Paint coatings have contributed greatly to the
appearance of cars, and their colors and textures
are very significant in considering car design
and a products line-up. Recently, metallic-type
paint coatings dominate the market and their flake
pigments play a significant part in the paint
appearance. To understand the mechanism of the
paint appearance, it is necessary to clarify the
optical characteristics of very small flake pigments,
of which size is of an order of micrometers. First
of all, an optical measurement system was set
up to investigate the bidirectional reflectance
of each flake pigment, and the measurements were
made on micaceous iron oxide (MIO), flake pigments
and aluminum ones. For MIO flake pigments, the
particle size and the surface treatment were found
to have a great influence on the bidirectional
reflectance and the influence of the aspect ratio
might be negligible. For aluminum flake pigments,
on the other hand, it was revealed that the reflectance
was larger than that of MIO pigments and that
each sample had a different distribution. Mathematical
model and its expressions for the bidirectional
reflectance are investigated in order to clarify
the factor, influence and mechanism of the reflection
of the flake pigment itself. This study revealed
the reproducibility and validity of the expressions
of the bidirectional reflectance based on the
measurements. In other words, it has been revealed
that the bidirectional reflectance is mainly explained
by the diffraction effect on the flake pigment
size and that the distribution of the reflectance
is changed by the diffusive reflection effect
on the surface conditions, including roughness
and shape. @
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