메뉴 건너뛰기




Volumn 15, Issue 5, 1998, Pages 1114-1120

Beam shaping in the fractional Fourier transform domain

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0000628131     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.15.001114     Document Type: Article
Times cited : (93)

References (28)
  • 1
    • 0019544674 scopus 로고
    • Holographic filter that transforms a gaussian into a uniform beam
    • M. Quintanilla and A. M. de Frutos, “Holographic filter that transforms a Gaussian into a uniform beam, ” Appl. Opt. 20, 879–880 (1981).
    • (1981) Appl. Opt , vol.20 , pp. 879-880
    • Quintanilla, M.1    De Frutos, A.M.2
  • 2
    • 0020845199 scopus 로고
    • Reshaping collimated laser beams with gaussian profile to uniform profiles
    • Y. H. Chang, I. Yukihire, and M. Kazumi, “Reshaping collimated laser beams with Gaussian profile to uniform profiles, ” Appl. Opt. 22, 3644–3647 (1983).
    • (1983) Appl. Opt , vol.22 , pp. 3644-3647
    • Chang, Y.H.1    Yukihire, I.2    Kazumi, M.3
  • 3
    • 84975553191 scopus 로고
    • Iterative design of a holographic beam former
    • M. T. Eismann, A. M. Tai, and J. N. Cederquist, “Iterative design of a holographic beam former, ” Appl. Opt. 28, 2641–2650 (1989).
    • (1989) Appl. Opt , vol.28 , pp. 2641-2650
    • Eismann, M.T.1    Tai, A.M.2    Cederquist, J.N.3
  • 4
    • 0027588428 scopus 로고
    • Application of a binary diffractive optic for beam shaping in semiconductor processing by lasers
    • J. Cordingley, “Application of a binary diffractive optic for beam shaping in semiconductor processing by lasers, ” Appl. Opt. 32, 2538–2549 (1993).
    • (1993) Appl. Opt , vol.32 , pp. 2538-2549
    • Cordingley, J.1
  • 5
    • 0001118286 scopus 로고
    • Intensity distribution transformation for rotationally symmetric beam shaping
    • F. S. Roux, “Intensity distribution transformation for rotationally symmetric beam shaping, ” Opt. Eng. (Bellingham) 30, 529–536 (1991).
    • (1991) Opt. Eng. (Bellingham) , vol.30 , pp. 529-536
    • Roux, F.S.1
  • 6
    • 0027652515 scopus 로고
    • Fractional fourier transforms and their implementations: I
    • D. Mendlovic and H. M. Ozaktas, “Fractional Fourier transforms and their implementations: I, ” J. Opt. Soc. Am. A 10, 1875–1881 (1993).
    • (1993) J. Opt. Soc. Am , vol.A10 , pp. 1875-1881
    • Mendlovic, D.1    Ozaktas, H.M.2
  • 7
    • 0027740848 scopus 로고
    • Fractional fourier transforms and their implementations: Ii
    • H. M. Ozaktas and D. Mendlovic, “Fractional Fourier transforms and their implementations: II, ” J. Opt. Soc. Am. A 10, 2522–2531 (1993).
    • (1993) J. Opt. Soc. Am , vol.A10 , pp. 2522-2531
    • Ozaktas, H.M.1    Mendlovic, D.2
  • 8
    • 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 , vol.A10 , pp. 2181-2186
    • Lohmann, A.W.1
  • 9
    • 0027641018 scopus 로고
    • Fourier transforms of fractional order and their optical interpretation
    • H. M. Ozaktas and D. Mendlovic, “Fourier transforms of fractional 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
  • 10
    • 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 , vol.A11 , pp. 547-559
    • Ozaktas, H.M.1    Barshan, B.2    Mendlovic, D.3    Onural, L.4
  • 11
    • 84975560652 scopus 로고
    • General optical implementations of fractional fourier transforms
    • S. Liu, J. Xu, Y. Zhang, L. Chen, and C. Li, “General optical implementations of fractional Fourier transforms, ” Opt. Lett. 20, 1053–1055 (1995).
    • (1995) Opt. Lett , vol.20 , pp. 1053-1055
    • Liu, S.1    Xu, J.2    Zhang, Y.3    Chen, L.4    Li, C.5
  • 12
    • 0005830780 scopus 로고    scopus 로고
    • Numerical investigation of phase retrieval in a fractional fourier transform
    • B. Dong, Y. Zhang, B. Gu, and G. Yang, “Numerical investigation of phase retrieval in a fractional Fourier transform, ” J. Opt. Soc. Am. A 14, 2709–2714 (1997).
    • (1997) J. Opt. Soc. Am , vol.A14 , pp. 2709-2714
    • Dong, B.1    Zhang, Y.2    Gu, B.3    Yang, G.4
  • 13
    • 0000501446 scopus 로고
    • Phase determination for image and diffraction plane pictures in the electron microscope
    • R. W. Gerchberg and W. O. Saxton, “Phase determination for image and diffraction plane pictures in the electron microscope, ” Optik (Stuttgart) 34, 275–284 (1971).
    • (1971) Optik (Stuttgart) , vol.34 , pp. 275-284
    • Gerchberg, R.W.1    Saxton, W.O.2
  • 14
    • 0015327061 scopus 로고
    • A practical algorithm for the determination of phase from image and diffraction plane pictures
    • R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures, ” Optik (Stuttgart) 35, 227–246 (1972).
    • (1972) Optik (Stuttgart) , vol.35 , pp. 227-246
    • Gerchberg, R.W.1    Saxton, W.O.2
  • 15
    • 0027580742 scopus 로고
    • Phase-retrieval algorithms for a complicated optical system
    • J. R. Fienup, “Phase-retrieval algorithms for a complicated optical system, ” Appl. Opt. 32, 1737–1746 (1993).
    • (1993) Appl. Opt , vol.32 , pp. 1737-1746
    • Fienup, J.R.1
  • 16
    • 0019016018 scopus 로고
    • Iterative method applied to image reconstruction and to computer-generated holograms
    • J. R. Fienup, “Iterative method applied to image reconstruction and to computer-generated holograms, ” Opt. Eng. (Bellingham) 19, 297–305 (1980).
    • (1980) Opt. Eng. (Bellingham) , vol.19 , pp. 297-305
    • Fienup, J.R.1
  • 17
    • 0000418977 scopus 로고    scopus 로고
    • Gerchberg-saxton algorithm applied in the fractional fourier or the fresnel domain
    • Z. Zalevsky, D. Mendlovic, and R. G. Dorsch, “Gerchberg-Saxton algorithm applied in the fractional Fourier or the Fresnel domain, ” Opt. Lett. 21, 842–844 (1996).
    • (1996) Opt. Lett , vol.21 , pp. 842-844
    • Zalevsky, Z.1    Mendlovic, D.2    Dorsch, R.G.3
  • 18
    • 0001407678 scopus 로고
    • General theory for performing an optical transform
    • B. Gu, G. Yang, and B. Dong, “General theory for performing an optical transform, ” Appl. Opt. 25, 3197–3206 (1986).
    • (1986) Appl. Opt , vol.25 , pp. 3197-3206
    • Gu, B.1    Yang, G.2    Dong, B.3
  • 19
    • 0026963973 scopus 로고
    • Theory of the amplitude-phase retrieval in an any linear transform system and its applications
    • M. A. Fiddy, ed., Proc. SPIE
    • G. Yang, B. Gu, and B. Dong, “Theory of the amplitude-phase retrieval in an any linear transform system and its applications, ” in Inverse Problems in Scattering and Imaging, M. A. Fiddy, ed., Proc. SPIE 1767, 457–479 (1992).
    • (1992) Inverse Problems in Scattering and Imaging , vol.1767 , pp. 457-479
    • Yang, G.1    Gu, B.2    Dong, B.3
  • 20
    • 0027927110 scopus 로고
    • Gerchberg-saxton and yang-gu algorithms for phase retrieval in a nonunitary transform system: A comparison
    • G. Yang, B. Dong, B. Gu, J. Zhuang, and O. K. Ersoy, “Gerchberg-Saxton and Yang-Gu algorithms for phase retrieval in a nonunitary transform system: a comparison, ” Appl. Opt. 33, 209–218 (1994).
    • (1994) Appl. Opt , vol.33 , pp. 209-218
    • Yang, G.1    Dong, B.2    Gu, B.3    Zhuang, J.4    Ersoy, O.K.5
  • 21
    • 0029273597 scopus 로고
    • Diffractive phase elements for beam shaping: A new design method
    • X. Tan, B. Gu, G. Yang, and B. Dong, “Diffractive phase elements for beam shaping: a new design method, ” Appl. Opt. 34, 1314–1320 (1995).
    • (1995) Appl. Opt , vol.34 , pp. 1314-1320
    • Tan, X.1    Gu, B.2    Yang, G.3    Dong, B.4
  • 22
    • 85010135008 scopus 로고
    • (Mcgraw-hill, san francisco, calif
    • J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, San Francisco, Calif., 1968), Chap. 2, p. 21–25.
    • (1968) Chap , vol.2 , pp. 21-25
    • Goodman, J.W.1    Optics, I.T.F.2
  • 23
    • 85010153613 scopus 로고
    • (
    • Introductory Functional Analysis with Applications, Xiang-Gen Xia
    • E. Kreyszig, Introductory Functional Analysis with Applications (Wiley, New York, 1986). Xiang-Gen Xia, “On bandlimited signals with fractional Fourier transform, ” IEEE Signal Process. Lett. 3, 72–74 (1996).
    • (1986) Wiley, New York , vol.3 , pp. 72-74
    • Kreyszig, E.1
  • 24
    • 0022579489 scopus 로고
    • R. Rollestion and N. George, “Image reconstruction from partial Fresnel zone information, ” Appl. Opt. 25, 178–183 (1986).
    • (1986) Appl. Opt , vol.25 , pp. 178-183
    • Rollestion, R.1    George, N.2
  • 25
    • 0020173780 scopus 로고
    • Phase retrieval algorithms: A comparison
    • J. R. Fienup, “Phase retrieval algorithms: a comparison, ” Appl. Opt. 21, 2758–2769 (1982).
    • (1982) Appl. Opt , vol.21 , pp. 2758-2769
    • Fienup, J.R.1
  • 26
    • 0002626756 scopus 로고
    • A method for the solution of the phase problem in electron microscopy
    • D. L. Misell, “A method for the solution of the phase problem in electron microscopy, ” J. Phys. D 6, L6-L9 (1973).
    • (1973) J. Phys , vol.D6 , pp. L6-L9
    • Misell, D.L.1
  • 27
    • 35949040175 scopus 로고
    • An examination of an iterative method for the solution of the phase problem in optics and electron optics
    • D. L. Misell, “An examination of an iterative method for the solution of the phase problem in optics and electron optics, ” J. Phys. D 6, 2200–2225 (1973).
    • (1973) J. Phys , vol.D6 , pp. 2200-2225
    • Misell, D.L.1
  • 28
    • 84957482258 scopus 로고
    • Convergence of algorithms for phase retrieval from two intensity distributions
    • W. T. Rhodes, ed., Proc. SPIE
    • R. H. Boucher, “Convergence of algorithms for phase retrieval from two intensity distributions, ” in International Optical Computing Conference, W. T. Rhodes, ed., Proc. SPIE 231, 130–141 (1980).
    • (1980) International Optical Computing Conference , vol.231 , pp. 130-141
    • Boucher, R.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.