The use of an optical waveguide to attain a numerical aperture of unity in computational coherent optical imaging applications is described. It is shown that for the case of a one-dimensional (slitlike) object radiating into an optical waveguide consisting of two plane-parallel mirrors the complex field amplitude across any cross section of the waveguide contains sufficient information to reconstruct the object’s transmittance function with a numerical aperture of unity. We include the derivation of an inversion algorithm for performing the object reconstruction as well as computer simulations of the procedure.
© 2005 Optical Society of America
(050.1940) Diffraction and gratings : Diffraction
(100.3020) Image processing : Image reconstruction-restoration
(100.6640) Image processing : Superresolution
(180.0180) Microscopy : Microscopy
(290.3200) Scattering : Inverse scattering
Anthony J. Devaney and Pengyi Guo, "Superresolution imaging from limited-aperture optical diffracted field data," J. Opt. Soc. Am. A 22, 1086-1092 (2005)