Abstract

A matrix approach is presented that allows one to describe a complex optical system by a matrix relating the field at the output plane to the field at the input one. The elements of the optical system may be all those characterized by an ABCD ray-transfer matrix, as well as any kind of film which introduces a wavefront modulation that can be described by a complex radial transmittance function. These include, as particular cases, stops and limiting apertures. No integral has to be computed. The method holds only for circularly symmetric optical systems and laser beams.

© 1989 Optical Society of America

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References

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  1. M. Born, E. Wolf, Principles of Optics (Pergamon, Oxford, 1980).
  2. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).
  3. S. A. Collins, “Lens–System Diffraction Integral Written in Terms of Matrix Optics,” J. Opt. Soc. Am. 60, 1168–1177 (1970).
    [CrossRef]
  4. H. T. Yura, S. G. Hanson, “Optical Beam Wave Propagation Through Complex Optical Systems,” J. Opt. Soc. Am. A4, 1931–1948 (1987).
    [CrossRef]
  5. F. Bloisi, S. Martellucci, J. Quartieri, L. Vicari, “Diffraction Patterns of Self-Phase-Modulated Laser Beams,” Europhys. Lett., 4, 905–908 (1987).
    [CrossRef]

1987 (2)

H. T. Yura, S. G. Hanson, “Optical Beam Wave Propagation Through Complex Optical Systems,” J. Opt. Soc. Am. A4, 1931–1948 (1987).
[CrossRef]

F. Bloisi, S. Martellucci, J. Quartieri, L. Vicari, “Diffraction Patterns of Self-Phase-Modulated Laser Beams,” Europhys. Lett., 4, 905–908 (1987).
[CrossRef]

1970 (1)

Bloisi, F.

F. Bloisi, S. Martellucci, J. Quartieri, L. Vicari, “Diffraction Patterns of Self-Phase-Modulated Laser Beams,” Europhys. Lett., 4, 905–908 (1987).
[CrossRef]

Born, M.

M. Born, E. Wolf, Principles of Optics (Pergamon, Oxford, 1980).

Collins, S. A.

Goodman, J. W.

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

Hanson, S. G.

H. T. Yura, S. G. Hanson, “Optical Beam Wave Propagation Through Complex Optical Systems,” J. Opt. Soc. Am. A4, 1931–1948 (1987).
[CrossRef]

Martellucci, S.

F. Bloisi, S. Martellucci, J. Quartieri, L. Vicari, “Diffraction Patterns of Self-Phase-Modulated Laser Beams,” Europhys. Lett., 4, 905–908 (1987).
[CrossRef]

Quartieri, J.

F. Bloisi, S. Martellucci, J. Quartieri, L. Vicari, “Diffraction Patterns of Self-Phase-Modulated Laser Beams,” Europhys. Lett., 4, 905–908 (1987).
[CrossRef]

Vicari, L.

F. Bloisi, S. Martellucci, J. Quartieri, L. Vicari, “Diffraction Patterns of Self-Phase-Modulated Laser Beams,” Europhys. Lett., 4, 905–908 (1987).
[CrossRef]

Wolf, E.

M. Born, E. Wolf, Principles of Optics (Pergamon, Oxford, 1980).

Yura, H. T.

H. T. Yura, S. G. Hanson, “Optical Beam Wave Propagation Through Complex Optical Systems,” J. Opt. Soc. Am. A4, 1931–1948 (1987).
[CrossRef]

Europhys. Lett. (1)

F. Bloisi, S. Martellucci, J. Quartieri, L. Vicari, “Diffraction Patterns of Self-Phase-Modulated Laser Beams,” Europhys. Lett., 4, 905–908 (1987).
[CrossRef]

J. Opt. Soc. Am. (2)

S. A. Collins, “Lens–System Diffraction Integral Written in Terms of Matrix Optics,” J. Opt. Soc. Am. 60, 1168–1177 (1970).
[CrossRef]

H. T. Yura, S. G. Hanson, “Optical Beam Wave Propagation Through Complex Optical Systems,” J. Opt. Soc. Am. A4, 1931–1948 (1987).
[CrossRef]

Other (2)

M. Born, E. Wolf, Principles of Optics (Pergamon, Oxford, 1980).

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

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