Electromagnetism is ubiquitous.
Professor Joseph s research interests involve electromagnetic theory, in particular, applied optics. Areas under active study involve the propagation and scattering of electromagnetic waves in environments that may be nonlinear or anisotropic or inhomogeneous or rough. By way of illustration, an accurate description of the spatial distribution and lifetime of ocean sunglint is necessary if one is to be able to use overhead imagery to observe faint objects moving near the sea surface. The sea surface can be modeled as being single valued and composed of a continuous collection of smooth facets with continuous first derivatives between adjacent facets. Assuming that each facet is large with respect to the wavelength of radiation, geometrical optics can be used to describe the interaction of radiation with any given facet.