title: Class of basis functions for use in optical systems analysis.
abstract: A method is described for modeling the effects of spatial apertures on optical sensor systems. The method consists of defining a set of basis functions that is obtained by partitioning the aperture image plane into a series of rectangular regions and replacing the field in each rectangular subregion with an orthogonal function series approximation. Each orthogonal function has a finite extent that is matched to the aperture image. The individual functions are propagated by application of the Fresnel approximation of the Rayleigh-Sommerfeld diffraction formula to other ranges, and the resultant functions are shown to be valid basis functions for defining a field at any other range. The technique is applied to a scattering problem using complex Fourier series.
authors.affiliation: Naval Undersea Warfare Center Dicision, Newport, Rhode Island 02841, USA. EstesLE@npt.nuwc.navy.mil
authors.forename: Lee
authors.initials: L
authors.lastname: Estes
authors.forename: Adam
authors.initials: A
authors.lastname: Jilling
authors.forename: Gabriel
authors.initials: G
authors.lastname: Lombardi
authors.forename: Jerry
authors.initials: J
authors.lastname: Butman