Abstract

A relatively simple theory for reconstructing self-luminous objects from their diffraction images is presented for thin object disks that have axial symmetry and for thin, long objects whose radiance varies only along the width. Availability of a priori information about the variation of the radiance is assumed. With these simple objects the complete spatial-frequency spectrum of the object function can be deduced in a direct manner from considerations of the Fourier transform of the measured irradiance in an image having negligible noise. Objects having constant radiance are treated in detail and are found to be advantageous for use in experiments designed to test the validity and practicality of the principles of object reconstruction.

© 1966 Optical Society of America

Object Restoration in a Diffraction-Limited Imaging System*

Casper W. Barnes
J. Opt. Soc. Am. 56(5) 575-578 (1966)

Diffraction Images of Annular and Disk-like Objects under Partially Coherent Illumination

S. C. Som
J. Opt. Soc. Am. 57(12) 1499-1509 (1967)

Image Reconstruction with Fraunhofer Holograms*

John B. DeVelis, George B. Parrent, and Brian J. Thompson
J. Opt. Soc. Am. 56(4) 423-427 (1966)

Reconstructions of images of partially coherent objects from samples of mutual intensity

K. Dutta and J. W. Goodman
J. Opt. Soc. Am. 67(6) 796-803 (1977)

Image Evaluation by Use of the Sampling Theorem*

B. Roy Frieden
J. Opt. Soc. Am. 56(10) 1355-1362 (1966)