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Volumn 12, Issue 4, 1995, Pages 743-751

Fractional fourier optics

Author keywords

Diffraction; Fourier optics; Fractional Fourier transforms; Optical information processing

Indexed keywords

FOURIER OPTICS; FOURIER TRANSFORMS; LIGHT PROPAGATION; OPTICAL DATA PROCESSING;

EID: 0029292376     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.12.000743     Document Type: Article
Times cited : (287)

References (24)
  • 1
    • 77958407025 scopus 로고
    • The fractional Fourier transform and its application in quantum mechanics
    • V. Namias, “The fractional Fourier transform and its application in quantum mechanics,” J. Inst. Math. Its Appl. 25, 241-265 (1980).
    • (1980) J. Inst. Math. Its Appl. , vol.25 , pp. 241-265
    • Namias, V.1
  • 2
    • 77957689582 scopus 로고
    • On Namiass fractional Fourier transform,” IMA
    • A. C. McBride and F. H. Kerr, “On Namias’s fractional Fourier transform,” IMA J. Appl. Math. 39, 159-175 (1987).
    • (1987) J. Appl. Math. , vol.39 , pp. 159-175
    • McBride, A.C.1    Kerr, F.H.2
  • 3
    • 33747722913 scopus 로고
    • Fourier transforms of fractional order and their optical interpretation
    • OSA Technical Digest Series (Optical Society of America, Washington, D.C
    • D. Mendlovic, H. M. Ozaktas, and A. W. Lohmann, “Fourier transforms of fractional order and their optical interpretation,” in Optical Computing, Vol. 7 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), pp. 127-130.
    • (1993) Optical Computing , vol.7 , pp. 127-130
    • Mendlovic, D.1    Ozaktas, H.M.2    Lohmann, A.W.3
  • 4
    • 0027641018 scopus 로고
    • Fourier transforms offrac- tional order and their optical interpretation
    • H. M. Ozaktas and D. Mendlovic, “Fourier transforms offrac- tional order and their optical interpretation,” Opt. Commun. 101,163-169 (1993).
    • (1993) Opt. Commun. , vol.101 , pp. 163-169
    • Ozaktas, H.M.1    Mendlovic, D.2
  • 5
    • 0027652515 scopus 로고
    • Fractional Fourier transformations and their optical implementation. I
    • D. Mendlovic and H. M. Ozaktas, “Fractional Fourier transformations and their optical implementation. I,” J. Opt. Soc. Am. A 10, 1875-1881 (1993).
    • (1993) J. Opt. Soc. Am. A , vol.10 , pp. 1875-1881
    • Mendlovic, D.1    Ozaktas, H.M.2
  • 6
    • 0027740848 scopus 로고
    • Fractional Fourier transforms and their optical implementation. II
    • H. M. Ozaktas and D. Mendlovic, “Fractional Fourier transforms and their optical implementation. II,” J. Opt. Soc. Am. A 10, 2522-2531 (1993).
    • (1993) J. Opt. Soc. Am. A , vol.10 , pp. 2522-2531
    • Ozaktas, H.M.1    Mendlovic, D.2
  • 7
    • 0028382656 scopus 로고
    • Convolution, filtering, and multiplexing in fractional Fourier domains and their relation to chirp and wavelet transforms
    • H. M. Ozaktas, B. Barshan, D. Mendlovic, and L. Onural, “Convolution, filtering, and multiplexing in fractional Fourier domains and their relation to chirp and wavelet transforms,” J. Opt. Soc. Am. A 11, 547-559 (1994).
    • (1994) J. Opt. Soc. Am. A , vol.11 , pp. 547-559
    • Ozaktas, H.M.1    Barshan, B.2    Mendlovic, D.3    Onural, L.4
  • 8
    • 0028546458 scopus 로고
    • The fractional Fourier transform and time- frequency representations
    • L. B. Almeida, “The fractional Fourier transform and time- frequency representations,” IEEE Trans. Signal Process. 42, 3084 (1994).
    • (1994) IEEE Trans. Signal Process. , vol.42 , pp. 3084
    • Almeida, L.B.1
  • 9
    • 0027682286 scopus 로고
    • Image rotation, Wigner rotation, and the fractional Fourier transform
    • A. W. Lohmann, “Image rotation, Wigner rotation, and the fractional Fourier transform,” J. Opt. Soc. Am. A 10, 2181-2186 (1993).
    • (1993) J. Opt. Soc. Am. A , vol.10 , pp. 2181-2186
    • Lohmann, A.W.1
  • 10
    • 0028509784 scopus 로고
    • Graded- index fibers, Wigner-distribution functions, and the fractional Fourier transform
    • D. Mendlovic, H. M. Ozaktas, and A. W. Lohmann, “Graded- index fibers, Wigner-distribution functions, and the fractional Fourier transform,” Appl. Opt. 33, 6188-6193 (1994).
    • (1994) Appl. Opt. , vol.33 , pp. 6188-6193
    • Mendlovic, D.1    Ozaktas, H.M.2    Lohmann, A.W.3
  • 11
    • 84995448911 scopus 로고
    • Relationship between two transforms:Radon-Wigner and fractional Fourier
    • OSA Technical Digest Series (Optical Society of America, Washington, D.C
    • A. W. Lohmann and B. H. Soffer, “Relationship between two transforms:Radon-Wigner and fractional Fourier,” in An nual Meeting, Vol. 16 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), p. 109.
    • (1993) An Nual Meeting , vol.16 , pp. 109
    • Lohmann, A.W.1    Soffer, B.H.2
  • 12
    • 0028199265 scopus 로고
    • Self Fourier functions and fractional Fourier transforms
    • D. Mendlovic, H. M. Ozaktas, and A. W. Lohmann, “Self Fourier functions and fractional Fourier transforms,” Opt. Commun. 105, 36-38 (1994).
    • (1994) Opt. Commun. , vol.105 , pp. 36-38
    • Mendlovic, D.1    Ozaktas, H.M.2    Lohmann, A.W.3
  • 14
    • 0028546549 scopus 로고    scopus 로고
    • Fractional Fourier transform as a tool for analyzing beam propagation and spherical mirror resonators
    • H. M. Ozaktas and D. Mendlovic, “Fractional Fourier transform as a tool for analyzing beam propagation and spherical mirror resonators,” Opt. Lett. 19, 1678-1680.
    • Opt. Lett , vol.19 , pp. 1678-1680
    • Ozaktas, H.M.1    Mendlovic, D.2
  • 16
    • 84975562775 scopus 로고
    • Maximum power of refractive lenses:A fundamental limit
    • P. J. Readon and R. A. Chipman, “Maximum power of refractive lenses:a fundamental limit,” Opt. Lett. 15, 1409-1411 (1990).
    • (1990) Opt. Lett. , vol.15 , pp. 1409-1411
    • Readon, P.J.1    Chipman, R.A.2
  • 17
    • 0017957904 scopus 로고
    • The Wigner distribution applied to optical signals and systems
    • M. J. Bastiaans, “The Wigner distribution applied to optical signals and systems,” Opt. Commun. 25, 26-30 (1978).
    • (1978) Opt. Commun. , vol.25 , pp. 26-30
    • Bastiaans, M.J.1
  • 18
    • 0000010577 scopus 로고
    • Wigner distribution function and its application to first-order optics
    • M. J. Bastiaans, “Wigner distribution function and its application to first-order optics,” J. Opt. Soc. Am. A 69, 1710-1716 (1979).
    • (1979) J. Opt. Soc. Am. A , vol.69 , pp. 1710-1716
    • Bastiaans, M.J.1
  • 19
    • 0018519010 scopus 로고
    • The Wigner distribution function and Hamiltons characteristics of a geometric-optical system,”
    • M. J. Bastiaans, “The Wigner distribution function and Hamilton’s characteristics of a geometric-optical system,” Opt. Commun. 30, 321-326 (1979).
    • (1979) Opt. Commun. , vol.30 , pp. 321-326
    • Bastiaans, M.J.1
  • 20
    • 0000807048 scopus 로고
    • Propagation laws for the second-order moments of the Wigner distribution function in first-order optical systems
    • M. J. Bastiaans, “Propagation laws for the second-order moments of the Wigner distribution function in first-order optical systems,” Optik 82, 173-181 (1989).
    • (1989) Optik , vol.82 , pp. 173-181
    • Bastiaans, M.J.1
  • 21
    • 0009092454 scopus 로고
    • Second-order moments of the Wigner distribution function in first-order optical systems
    • M. J. Bastiaans, “Second-order moments of the Wigner distribution function in first-order optical systems,” Optik 88, 163-168 (1991).
    • (1991) Optik , vol.88 , pp. 163-168
    • Bastiaans, M.J.1
  • 22
    • 0027612334 scopus 로고
    • Diffraction from a wavelet point of view
    • L. Onural, “Diffraction from a wavelet point of view,” Opt. Lett. 18, 846-848 (1993).
    • (1993) Opt. Lett. , vol.18 , pp. 846-848
    • Onural, L.1
  • 23
    • 0028515765 scopus 로고
    • Fresnel diffraction and the fractional-order Fourier transform
    • P. Pellat-Finet, “Fresnel diffraction and the fractional-order Fourier transform,” Opt. Lett. 19, 1388-1390 (1994).
    • (1994) Opt. Lett. , vol.19 , pp. 1388-1390
    • Pellat-Finet, P.1
  • 24
    • 0028494881 scopus 로고
    • Fractional order Fourier transform and Fourier optics
    • P. Pellat-Finet and G. Bonnet, “Fractional order Fourier transform and Fourier optics,” Opt. Commun. 111, 141-154 (1994).
    • (1994) Opt. Commun. , vol.111 , pp. 141-154
    • Pellat-Finet, P.1    Bonnet, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.