Laws of Transmissive Similarity and Scale Models in a Light Absorbing, Randomly Scattering Medium

摘要

The concept of transmissive similarity for light transmitting systems is explained. The conditions for transmissive similarity are derived as functions of the ratios of the significant forces. The force ratio equivalents in terms of the number of scattering events per absorption event and of the root-mean-square value of refraction angle per scattering event are developed. How these force ratios relate to the transmitting medium's measurable optical properties, absorption coefficient a, scattering coeffficient s and dispersion coefficient beta is presented. Applying the concept of transmissive similarity, the necessary and sufficient conditions for building a small or large scale model are presented and illustrated. The RMS value of photon path direction change per scattering event is calculated for the example given.