The bearing which the geometric construction of the fabrics has on the reflective intensity curve has been investigated. The probe has shown experimentally that the reflective property varies with the curved structure of yarns. The reflective intensity curve has been theoretically deduced by assuming that a fabric is composed of yarns having tiny facets.
Reflective light flux ρφ at incidence angle α and view angle φ is: Ρφ=kTα+φ/2cosα+φ/2•σ(α-φ/2) where Tα+φ/2 is the specular reflectance of the tiny facets if the angle of incidence perpendicular to the facet is a α+φ/2; σ is a function expressing the density distribution of the tiny facets; and k is a constant.
Applying this theoretical formula to the elliptic curvature has revealed various reflective properties for various degrees of curvature and shown that the yarn curvature has a major bearing on the reflective property of fabrics.