GEOMETRICAL APPROACH TO LIGHT IN INHOMOGENEOUS MEDIA

Optimal Control of Light Propagation Governed by Eikonal Equation within Inhomogeneous Media Using Computational Adjoint Approach

A mathematical model is presented in the present study to control‎ ‎the light propagation in an inhomogeneous media‎. ‎The method is ‎based on the identification of the optimal materials distribution‎ ‎in the media such that the trajectories of light rays follow the‎ ‎desired path‎. ‎The problem is formulated as a distributed parameter ‎identification problem and it is solved by a numerical met...

Gaussian light beams in inhomogeneous media.

Vector wave solutions are obtained for the propagation of beams of light in media having slow spatial variations of the gain, loss, or index of refraction. The formalism developed here is applicable to a wide range of problems, and an exa mple considered in detail is the propagation of off-axis beams in lenslike laser materials and optical waveguides. A procedure is also described for the diagn...

Spherically symmetric inhomogeneous bianisotropic media: Wave propagation and light scattering

Unbiased Light Transport Estimators for Inhomogeneous Participating Media

In this supplementary material we provide the details of the single scattering methods that use the medium manipulation scheme proposed in the paper entitled “Unbiased Light Transport Estimators for Inhomogeneous Participating Media”. 1. Single scattering of point source lighting In this supplementary document we consider a practically important special case of participating media rendering, th...

Branching diffusion in inhomogeneous media

We investigate the long-time evolution of branching diffusion processes (starting with a finite number of particles) in inhomogeneous media. The qualitative behavior of the processes depends on the intensity of the branching. In the super-critical regime, we describe the asymptotics of the number of particles in a given domain. In the sub-critical and critical regimes, we describe the distribut...