OSA's Digital Library

Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 20, Iss. 10 — May. 15, 1995
  • pp: 1178–1180

Optical interpretation of a complex-order Fourier transform

Chun-Ching Shih  »View Author Affiliations


Optics Letters, Vol. 20, Issue 10, pp. 1178-1180 (1995)
http://dx.doi.org/10.1364/OL.20.001178


View Full Text Article

Enhanced HTML    Acrobat PDF (262 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

It is demonstrated that the definition of a fractional-order Fourier transform can be extended into the complex-order regime. A complex-order Fourier transform deals with the imaginary part as well as the real part of the exponential function in the integral. As a result, while the optical implementation of fractional-order Fourier transform involves gradient-index media or spherical lenses, the optical interpretation of complex-order Fourier transform is practically based on the convolution operation and Gaussian apertures. The beam width of a Gaussian beam subjected to the complex-order Fourier transform is obtained analytically with the ABCD matrix approach.

© 1995 Optical Society of America

History
Original Manuscript: December 13, 1994
Published: May 15, 1995

Citation
Chun-Ching Shih, "Optical interpretation of a complex-order Fourier transform," Opt. Lett. 20, 1178-1180 (1995)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-20-10-1178


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. V. Namias, J. Inst. Math. Appl. 25, 241 (1980). [CrossRef]
  2. A. C. Mcbride, F. H. Kerr, Inst. Math. J. Appl. Math. 39, 159 (1987). [CrossRef]
  3. A. Yariv, Quantum Electronics, 3rd ed. (Wiley, New York, 1989), Chap. 6, pp. 106–135.
  4. S. A. Collins, J. Opt. Soc. Am. 60, 1168 (1970). [CrossRef]
  5. H. M. Ozaktas, D. Mendlovic, Opt. Commun. 101, 163 (1993). [CrossRef]
  6. D. Mendlovic, H. M. Ozaktas, J. Opt. Soc. Am. A 10, 1875 (1993). [CrossRef]
  7. H. M. Ozaktas, D. Mendlovic, J. Opt. Soc. Am. A 10, 2522 (1993). [CrossRef]
  8. A. W. Lohmann, J. Opt. Soc. Am. A 10, 2181 (1993). [CrossRef]
  9. H. M. Ozaktas, B. Barshan, D. Mendlovic, L. Onural, J. Opt. Soc. Am. A 11, 547 (1994). [CrossRef]
  10. L. Bernardo, O. D. D. Soares, J. Opt. Soc. Am. A 11, 2622 (1994). [CrossRef]
  11. A. Yariv, P. Yeh, Opt. Commun. 13, 370 (1975). [CrossRef]
  12. S. Lee, H. H. Szu, Opt. Eng. 33, 2326 (1994). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Figures

Fig. 1 Fig. 2
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited