Scattering of scalar plane waves from two-dimensional rough surfaces

Javier Polanco, University of Texas at El Paso


In a recent paper by Maradudin et al. [1] a method was described for designing a two-dimensional, randomly rough, circularly symmetric, Dirichlet surface, that, when illuminated at normal incidence by a scalar plane wave, produces a prescribed circularly symmetric distribution of the intensity of the scattered light. This method was validated by computer simulation scattering calculations based on the Kirchhoff approximation, also a single-scattering approximation, for the case where the surface acts as a Lambertian diffuser, i.e. produces a distribution of scattered intensity that is proportional to the cosine of the polar scattering angle. ^ This research project involves the development of efficient computational algorithms and methodologies for scattering of scalar plane waves from two-dimensional, rough, circularly symmetric, Dirichlet surfaces. It is based on Green's second integral identity, and exploits the circular symmetry of the surface. Computational algorithms were developed, for application to a wide range of scalar plane wave scattering from two-dimensional rough surfaces, and were tested on specific problems. The rigorous approach and novel algorithms developed facilitated the design of numerous two-dimensional surfaces that scatter light with a prescribed distribution of intensity when illuminated both at normal and non-normal incidence. ^ The applications that follow are numerous, including optical diffusers, atmospheric detectors, radiometers, etc. ^

Subject Area

Physics, Atmospheric Science

Recommended Citation

Polanco, Javier, "Scattering of scalar plane waves from two-dimensional rough surfaces" (2005). ETD Collection for University of Texas, El Paso. AAI1423745.