Analysis of wave-diffusion transitions in optical fields

ABSTRACT

We analyse the local conditions for a wave optical field evolves toward diffusive behaviour, this was obtained by solving the wave-diffusion partial differential equation and identifying regions where the diffusion effects become dominant and non-dominant. Through extremal analysis, the phase function was determined to satisfy the Poisson equation, where the diffusion parameters exhibit electrically charged particle-like features in the neighbourhood of focusing regions. Additionally, the optical field exhibits a self-regulated behaviour driven by diffusion effects These features were corroborated experimentally in regions that act as a source/sinks in the interference fringes. Experimental results are shown.

KEYWORDS:

• Wave-diffusion processes
• focusing regions