Modeling of integrating spheres for photometric and radiometric applications

The Monte Carlo method was applied to statistical modeling of radiometric properties of integrating spheres. According to employed model of reflectance, specular and diffuse components are approximated by polynomial function of incident angle cosine. Developed software allows to simulate the irradiance distribution over internal surfaces of sphere with relative uncertainty of 0.1%. Sphere geometries with arbitrary number of apertures and baffles of circular shapes are admitted. To illustrate capabilities of software, an irradiance distribution over internal surfaces of the integrating sphere is plotted for several cases of practical importance.