The propagation of light through turbid media is of fundamental interest in a number of areas of optical science including atmospheric and oceanographic science, astrophysics and medicine amongst many others. The angular distribution of photons after a single scattering event is determined by the scattering phase function of the material the light is passing through. However, in many instances ...

General scattering model is local scattering process assumed that the mobile station is located inside the scattering region, in order to study distant scattering model in suburban or hilly propagation environment, a geometrically based statistical distant circular scattering mode in macrocell environment was proposed, the closed-form expressions of the joint probability density function of the...

An analysis of one of the approaches to cloth modeling is carried out in this paper. The real 3D structure of the cloth at micro level is considered and the lighting simulation with the accuracy control is provided. The simulation result in BSDF form is a full description of optical properties of the cloth sample. It allows us to produce the “far view” of the cloth accurately and fast.

Calculation of the scattering phase shift is important to understand scatterings and decays of hadrons. The phase shift in I = 2 ππ scattering system [3] was evaluated with the finite volume method [1,2] derived by Lüscher. In the finite volume method two-particle wave function plays an important role, because the phase shift is extracted by the wave function. Study of the wave function was car...

We introduce a relative index for a pair of dissipative operators in a von Neumann algebra of finite type and prove an analog of the Birman-Schwinger principle in this setting. As an application of this result, revisiting the Birman-Krein formula in the abstract scattering theory, we represent the de la Harpe-Skandalis determinant of the characteristic function of dissipative operators in the a...

Therefore, here we will describe the implementation of the hair scattering model described in the paper A Practical and Controllable Hair and Fur Model for Production Path Tracing , by Matt Jen-Yuan Chiang, Benedikt Bitterli, Chuck Tappan, and Brent Burley. The paper itself is available here: benedikt-bitterli.me/ pchfm/. See the “Further Reading” section at the end of this document for more in...