Abstract

Fresnel diffraction is described by replacing the Fresnel-Kirchhoff integral, the lens transfer factor, and other operations by operators. The resulting operator algebra leads to the description of Fourier optics in a simple and compact way, bypassing the cumbersome integral calculus. Aberration effects and Gaussian beam illumination are also treated as a simple extension of the present theory.

© 1980 Optical Society of America

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  1. A. Vander Lugt, "Operational notation for the analysis and synthesis of optical data processing systems," Proc. IEEE 54, 1055–1063 (1966).
  2. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).
  3. A. Papoulis, Systems and Transforms with Applications in Optics (McGraw-Hill, New York, 1968).
  4. M. V. Klein, Optics (Wiley, New York, 1970).
  5. J. Knopp and M. F. Becker, "Virtual Fourier transform as an analytica tool in Fourier optics," Appl. Opt. 17, 1669–1670 (1978).
  6. J. Shamir and G. Krieger, "High resolution detection of defects by one-dimensional spatial filtering," Appl. Phys. 18, 363–373 (1979).
  7. H. Kogelnik and T. Li, "Laser beams and resonators," Appl. Opt. 5, 1550–1567 (1966).
  8. W. T. Cathey, Optical Information Processing and Holography (Wiley, New York, 1974).

1979

J. Shamir and G. Krieger, "High resolution detection of defects by one-dimensional spatial filtering," Appl. Phys. 18, 363–373 (1979).

1978

1966

Becker, M. F.

Cathey, W. T.

W. T. Cathey, Optical Information Processing and Holography (Wiley, New York, 1974).

Goodman, J. W.

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).

Klein, M. V.

M. V. Klein, Optics (Wiley, New York, 1970).

Knopp, J.

Kogelnik, H.

Krieger, G.

J. Shamir and G. Krieger, "High resolution detection of defects by one-dimensional spatial filtering," Appl. Phys. 18, 363–373 (1979).

Li, T.

Lugt, A. Vander

A. Vander Lugt, "Operational notation for the analysis and synthesis of optical data processing systems," Proc. IEEE 54, 1055–1063 (1966).

Papoulis, A.

A. Papoulis, Systems and Transforms with Applications in Optics (McGraw-Hill, New York, 1968).

Shamir, J.

J. Shamir and G. Krieger, "High resolution detection of defects by one-dimensional spatial filtering," Appl. Phys. 18, 363–373 (1979).

Appl. Opt.

Appl. Phys.

J. Shamir and G. Krieger, "High resolution detection of defects by one-dimensional spatial filtering," Appl. Phys. 18, 363–373 (1979).

Other

W. T. Cathey, Optical Information Processing and Holography (Wiley, New York, 1974).

A. Vander Lugt, "Operational notation for the analysis and synthesis of optical data processing systems," Proc. IEEE 54, 1055–1063 (1966).

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).

A. Papoulis, Systems and Transforms with Applications in Optics (McGraw-Hill, New York, 1968).

M. V. Klein, Optics (Wiley, New York, 1970).

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