Coded-aperture X- or gamma-ray telescope with least-squares image reconstruction. I - Design considerations. II - Computer simulation

Details Coded-aperture X- or gamma-ray telescope with least-squares image reconstruction. I - Design considerations. II - Computer simulation Coded-aperture X- or gamma-ray telescope with least-squares image reconstruction. I - Design considerations. II - Computer simulation

Nov 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989rsci...60.3396k&link_type=abstract

Review of Scientific Instruments (ISSN 0034-6748), vol. 60, Nov. 1989, p. 3396-3420.

Physics

Optics

2

Apertures, Gamma Ray Telescopes, Image Reconstruction, Systems Engineering, X Ray Telescopes, Discrete Functions, Geometrical Optics, Least Squares Method, Roots Of Equations

Scientific paper

This paper presents a method for reconstructing a multiplex image in a coded-aperture device for imaging X-ray or gamma-rays by using the least-squares solution of an overdetermined set of simultaneous equations connecting the object, the aperture, and the image. It is shown that a completely open auxiliary aperture of carefully chosen size and position, placed ahead of the coded aperture can limit the number of object pixels to less than the number of image pixels, a necessary condition for yielding an overdetermined set of equations. Various aspects of implementing the design as a practical X-ray or gamma-ray telescope for flight aboard an orbiting satellite or stratospheric balloon are discussed. A computer program developed for simulating the operation of this telescope is described, and the results of simulations are presented, demonstrating the feasibility of this approach to coded-aperture imaging.

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