Abstract

Introducing left and right fractional orders separately, we show that the cascading of optical extended fractional Fourier transform systems can be easily calculated. Through such calculations we study the properties of extended fractional Fourier transforms.

© 2000 Optical Society of Korea

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  1. V. Namias, J. Inst. Math. Appl. 25, 241 (1980)
    [Crossref]
  2. A. C. McBride and F. H. Kerr, IMA J. Appl. Math. 39, 159 (1987)
    [Crossref]
  3. D. Mendlovic and H. M. Ozaktas, J. Opt. Soc. Am. A 10, 1875 (1993)
    [Crossref]
  4. H. M. Ozaktas and D. Mendlovic, J. Opt. Soc. Am. A 10, 2522 (1993)
    [Crossref]
  5. A. W. Lohmann, J. Opt. Soc. Am. A 10, 2181 (1993)
    [Crossref]
  6. P. Pellat-Finet, Opt. Lett. 19, 1388 (1994)
    [Crossref]
  7. S-Y. Lee and H. H. Szu, Opt. Eng. 33,2326 (1994)
    [Crossref]
  8. C.-C. Shih, Opt. Lett. 20, 1178 (1995)
    [Crossref]
  9. S. Liu, J. Wu, and C. Li, Opt. Lett. 20, 1415 (1995)
    [Crossref]
  10. H. M. Ozaktas and D. Mendlovic, Appl. Opt. 35, 3167 (1996)
    [Crossref]
  11. L. M. Bernardo, Opt. Eng. 35, 732 (1996)
    [Crossref]
  12. J. Hua, L. Liu, and G. Li, Appl. Opt. 36, 8490 (1997)
    [Crossref]
  13. J. Hua, L. Liu, and G. Li, J. Opt. Soc. Am. A 14, 3316 (1997)
    [Crossref]
  14. Y. Zhang, B.-Y. Gu, B.-Z. Dong, and G.-Z. Yang, Opt. Commun. 160, 292 (1999)
    [Crossref]

1999 (1)

Y. Zhang, B.-Y. Gu, B.-Z. Dong, and G.-Z. Yang, Opt. Commun. 160, 292 (1999)
[Crossref]

1997 (2)

J. Hua, L. Liu, and G. Li, Appl. Opt. 36, 8490 (1997)
[Crossref]

J. Hua, L. Liu, and G. Li, J. Opt. Soc. Am. A 14, 3316 (1997)
[Crossref]

1996 (2)

H. M. Ozaktas and D. Mendlovic, Appl. Opt. 35, 3167 (1996)
[Crossref]

L. M. Bernardo, Opt. Eng. 35, 732 (1996)
[Crossref]

1995 (2)

C.-C. Shih, Opt. Lett. 20, 1178 (1995)
[Crossref]

S. Liu, J. Wu, and C. Li, Opt. Lett. 20, 1415 (1995)
[Crossref]

1994 (2)

P. Pellat-Finet, Opt. Lett. 19, 1388 (1994)
[Crossref]

S-Y. Lee and H. H. Szu, Opt. Eng. 33,2326 (1994)
[Crossref]

1993 (3)

D. Mendlovic and H. M. Ozaktas, J. Opt. Soc. Am. A 10, 1875 (1993)
[Crossref]

H. M. Ozaktas and D. Mendlovic, J. Opt. Soc. Am. A 10, 2522 (1993)
[Crossref]

A. W. Lohmann, J. Opt. Soc. Am. A 10, 2181 (1993)
[Crossref]

1987 (1)

A. C. McBride and F. H. Kerr, IMA J. Appl. Math. 39, 159 (1987)
[Crossref]

1980 (1)

V. Namias, J. Inst. Math. Appl. 25, 241 (1980)
[Crossref]

Applied Optics (2)

H. M. Ozaktas and D. Mendlovic, Appl. Opt. 35, 3167 (1996)
[Crossref]

J. Hua, L. Liu, and G. Li, Appl. Opt. 36, 8490 (1997)
[Crossref]

IMA J. Appl. Math. (1)

A. C. McBride and F. H. Kerr, IMA J. Appl. Math. 39, 159 (1987)
[Crossref]

JOSA A (4)

D. Mendlovic and H. M. Ozaktas, J. Opt. Soc. Am. A 10, 1875 (1993)
[Crossref]

H. M. Ozaktas and D. Mendlovic, J. Opt. Soc. Am. A 10, 2522 (1993)
[Crossref]

A. W. Lohmann, J. Opt. Soc. Am. A 10, 2181 (1993)
[Crossref]

J. Hua, L. Liu, and G. Li, J. Opt. Soc. Am. A 14, 3316 (1997)
[Crossref]

Journal of Applied Mathematics (1)

V. Namias, J. Inst. Math. Appl. 25, 241 (1980)
[Crossref]

Opt. Eng. (2)

L. M. Bernardo, Opt. Eng. 35, 732 (1996)
[Crossref]

S-Y. Lee and H. H. Szu, Opt. Eng. 33,2326 (1994)
[Crossref]

Optics Communications (1)

Y. Zhang, B.-Y. Gu, B.-Z. Dong, and G.-Z. Yang, Opt. Commun. 160, 292 (1999)
[Crossref]

Optics Letters (3)

C.-C. Shih, Opt. Lett. 20, 1178 (1995)
[Crossref]

S. Liu, J. Wu, and C. Li, Opt. Lett. 20, 1415 (1995)
[Crossref]

P. Pellat-Finet, Opt. Lett. 19, 1388 (1994)
[Crossref]

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