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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 56, Iss. 1 — Jan. 1, 1966
  • pp: 9–11

Images of Coherently Illuminated Edged Objects Formed by Scanning Optical Systems

ROBERT E. KINZLY  »View Author Affiliations

JOSA, Vol. 56, Issue 1, pp. 9-11 (1966)

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The effect of employing coherent illumination (such as a laser source in scanning optical systems) upon image content is investigated with particular reference to the microdensitometer system. The method of investigation involves the application of coherence theory to the imaging process in systems where the smallangle approximations can be made and the optics of the system are diffraction limited. The output of the system is determined for a sharp-edged object as the area illuminated in the object plane or the width of the illuminating slit is varied. A system configuration is found in which the edge image does not exhibit the usual ringing or diffraction fringes associated with coherent illumination.

ROBERT E. KINZLY, "Images of Coherently Illuminated Edged Objects Formed by Scanning Optical Systems," J. Opt. Soc. Am. 56, 9-11 (1966)

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  1. H. Gamo, in Progress in Optics, ed. by E. Wolf (North-Holland Publishing Co.,Amsterdam, 1964), Vol. III, pp. 271–274, treats the microdensitometer system using coherence theory. However, a specific object is not considered. Gamo includes the possibility of nonuniformity of the photodetecting surface whereas we assume uniform sensitivity.
  2. M. Born and E. Wolf, Principles of Optics (Pergamon Press, Inc., New York, 1959), Chap. X.
  3. W. H. Steel, Proc. Roy. Soc. (London) A249, 574 (1958). A constant phase factor usually is included in expression (2); however, under the small-angle approximation we assume curvature of the entrance and exit pupils, and the factor can be set equal to unity. In the imaging systems considered here, the "far-field approximation" is allowed between successive planes owing to the effect of the lenses in the system.
  4. This analysis does not include coupling of the mode of the laser or a nonuniform phase distribution of the wave amplitudes at the illuminating slit. However, an analysis of these effects can be made within the framework of the analysis present in this paper.
  5. The case where the area illuminated in the object plane is large has already been considered in a previous paper: R. E. Kinzly, J. Opt. Soc. Am. 55, 1002 (1965).

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