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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 11, Iss. 1 — Jan. 1, 1994
  • pp: 3–13

Pulse compression, fiber communications, and diffraction: a unified approach

Athanasios Papoulis  »View Author Affiliations


JOSA A, Vol. 11, Issue 1, pp. 3-13 (1994)
http://dx.doi.org/10.1364/JOSAA.11.000003


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Abstract

A unified approach is developed to three important areas of signal and image processing: pulse compression and real-time spectrum analysis, fiber-cable communications and dispersion, and Fresnel diffraction and optical filtering. The results are based on the properties of quadratic phase filters and Fresnel transforms, and they lead to a variety of analogies among the time responses of fiber cables, the spatial variations of diffracted fields, and the role of frequency modulation in narrow-band systems. The analysis includes deterministic and stochastic excitations.

© 1994 Optical Society of America

History
Original Manuscript: December 17, 1992
Revised Manuscript: June 15, 1993
Manuscript Accepted: June 23, 1993
Published: January 1, 1994

Citation
Athanasios Papoulis, "Pulse compression, fiber communications, and diffraction: a unified approach," J. Opt. Soc. Am. A 11, 3-13 (1994)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-11-1-3


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References

  1. B. E. A. Saleh, M. C. Teich, Fundamentals of Photonics (Wiley, New York, 1991). [CrossRef]
  2. T. Jannson, J. Jannson, “Temporal self-imaging effect in single-mode fibers,”J. Opt. Soc. Am. 71, 1373–1376 (1981).
  3. A. Papoulis, Signal Analysis (McGraw-Hill, New York, 1977), Chap. 8, p. 263.
  4. A. Papoulis, The Fourier Integral and Its Applications (McGraw-Hill, New York, 1962), Chap. 7, pp. 120–134.
  5. A. Papoulis, Probability, Random Variables, and Stochastic Processes, 3rd ed. (McGraw-Hill, New York, 1991), Chap. 10, pp. 285–332.
  6. H. A. Haus, Waves and Fields in Optoelectronics, Series in Solid State Physical Electronics (Prentice-Hall, Englewood Cliffs, N.J., 1984).
  7. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, San Francisco, Calif., 1968), Chap. 3.
  8. A. Papoulis, Systems and Transforms with Applications in Optics (McGraw-Hill, New York, 1968; reprinted by Kreiger, Malabar, Fla., 1981), Chap. 9.
  9. E. E. Kriezis, D. P. Chryssoulides, A. G. Papayannakis, Electromagnetics and Optics (World Scientific, River Edge, N.J., 1992).
  10. A. Papoulis, “Fourier optics,” Electromagnetics 9, 1–16 (1989). [CrossRef]
  11. F. Zernike, Z. Tech. Phys. 16, 454 (1935).

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