메뉴 건너뛰기




Volumn 19, Issue 9, 2002, Pages 1763-1773

Wigner distribution moments in fractional Fourier transform systems

Author keywords

[No Author keywords available]

Indexed keywords

COHERENT LIGHT; COMPUTER SIMULATION; FOURIER TRANSFORMS; OPTICAL SYSTEMS;

EID: 0043074610     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.19.001763     Document Type: Article
Times cited : (12)

References (27)
  • 1
    • 33745014742 scopus 로고
    • On the quantum correction for thermodynamic equilibrium
    • E. Wigner, "On the quantum correction for thermodynamic equilibrium," Phys. Rev. 40, 749-759 (1932).
    • (1932) Phys. Rev. , vol.40 , pp. 749-759
    • Wigner, E.1
  • 2
    • 0017957904 scopus 로고
    • The Wigner distribution function applied to optical signals and systems
    • M. J. Bastiaans, "The Wigner distribution function applied to optical signals and systems," Opt. Commun. 25, 26-30 (1978).
    • (1978) Opt. Commun. , vol.25 , pp. 26-30
    • Bastiaans, M.J.1
  • 3
    • 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. 69, 1710-1716 (1979).
    • (1979) J. Opt. Soc. Am. , vol.69 , pp. 1710-1716
    • Bastiaans, M.J.1
  • 4
    • 84867571153 scopus 로고
    • Application of the Wigner distribution function to partially coherent light
    • M. J. Bastiaans, "Application of the Wigner distribution function to partially coherent light," J. Opt. Soc. Am. A 3, 1227-1238 (1986).
    • (1986) J. Opt. Soc. Am. A , vol.3 , pp. 1227-1238
    • Bastiaans, M.J.1
  • 6
    • 84893994002 scopus 로고    scopus 로고
    • Application of the Wigner distribution function to partially coherent light beams
    • Optics and Optoelectronics, Theory, Devices and Applications, O. P. Nijhawan, A. K. Gupta, A. K. Musla, and K. Singh, eds. (Narosa, New Delhi)
    • M. J. Bastiaans, "Application of the Wigner distribution function to partially coherent light beams," in Optics and Optoelectronics, Theory, Devices and Applications, Proceedings of ICOL'98, the International Conference on Optics and Optoelectronics, O. P. Nijhawan, A. K. Gupta, A. K. Musla, and K. Singh, eds. (Narosa, New Delhi, 1998), pp. 101-115.
    • (1998) Proceedings of ICOL'98, the International Conference on Optics and Optoelectronics , pp. 101-115
    • Bastiaans, M.J.1
  • 7
    • 0004260755 scopus 로고    scopus 로고
    • Lasers and laser-related equipment - Test methods for laser beam parameters - Beam widths, divergence angle and beam propagation factor
    • International Organization for Standardization, Geneva
    • International Organization for Standardization, Technical Committee/Subcommittee 172/SC9, "Lasers and laser-related equipment - test methods for laser beam parameters - beam widths, divergence angle and beam propagation factor," ISO Doc. 11146:1999 (International Organization for Standardization, Geneva, 1999).
    • (1999) ISO Doc. 11146:1999
  • 9
    • 0028494082 scopus 로고
    • Measurement of all ten second-order moments of an astigmatic beam by the use of rotating simple astigmatic (anamorphic) optics
    • G. Nemes and A. E. Siegman, "Measurement of all ten second-order moments of an astigmatic beam by the use of rotating simple astigmatic (anamorphic) optics," J. Opt. Soc. Am. A 11, 2257-2264 (1994).
    • (1994) J. Opt. Soc. Am. A , vol.11 , pp. 2257-2264
    • Nemes, G.1    Siegman, A.E.2
  • 10
    • 0032108167 scopus 로고    scopus 로고
    • Determination of the ten second order intensity moments
    • B. Eppich, C. Gao, and H. Weber, "Determination of the ten second order intensity moments," Opt. Laser Technol. 30, 337-340 (1998).
    • (1998) Opt. Laser Technol. , vol.30 , pp. 337-340
    • Eppich, B.1    Gao, C.2    Weber, H.3
  • 11
    • 0023982773 scopus 로고
    • Partially coherent beams and a generalized ABCD-law
    • R. Simon, N. Mukunda, and E. C. G. Sudarshan, "Partially coherent beams and a generalized ABCD-law," Opt. Commun. 65, 322-328 (1988).
    • (1988) Opt. Commun. , vol.65 , pp. 322-328
    • Simon, R.1    Mukunda, N.2    Sudarshan, E.C.G.3
  • 12
    • 0031186329 scopus 로고    scopus 로고
    • On the parametric characterization of the transversal spatial structure of laser pulses
    • C. Martínez, F. Encinas-Sanz, J. Serna, P. M. Mejías, and R. Martinez-Herrero, "On the parametric characterization of the transversal spatial structure of laser pulses," Opt. Commun. 189, 299-305 (1997).
    • (1997) Opt. Commun. , vol.189 , pp. 299-305
    • Martínez, C.1    Encinas-Sanz, F.2    Serna, J.3    Mejías, P.M.4    Martinez-Herrero, R.5
  • 13
    • 84975607699 scopus 로고
    • Parametric characterization of general partially coherent beams propagating through ABCD optical systems
    • J. Serna, R. Martínez-Herrero, and P. M. Mejías, "Parametric characterization of general partially coherent beams propagating through ABCD optical systems," J. Opt. Soc. Am. A 8, 1094-1098 (1991).
    • (1991) J. Opt. Soc. Am. A , vol.8 , pp. 1094-1098
    • Serna, J.1    Martínez-Herrero, R.2    Mejías, P.M.3
  • 14
    • 0000344925 scopus 로고    scopus 로고
    • Complete spatial characterization of a pulsed doughnut-type beam by use of spherical optics and a cylindrical lens
    • J. Serna, F. Encinas-Sanz, and G. Nemes, "Complete spatial characterization of a pulsed doughnut-type beam by use of spherical optics and a cylindrical lens," J. Opt. Soc. Am. A 18, 1726-1733 (2001).
    • (2001) J. Opt. Soc. Am. A , vol.18 , pp. 1726-1733
    • Serna, J.1    Encinas-Sanz, F.2    Nemes, G.3
  • 16
    • 0016073256 scopus 로고
    • Ambiguity function in Fourier optics
    • A. Papoulis, "Ambiguity function in Fourier optics," J. Opt. Soc. Am. 64, 779-788 (1974).
    • (1974) J. Opt. Soc. Am. , vol.64 , pp. 779-788
    • Papoulis, A.1
  • 17
    • 0003517252 scopus 로고
    • McGraw-Hill, New York
    • A. Papoulis, Signal Analysis (McGraw-Hill, New York, 1977), pp. 284-295.
    • (1977) Signal Analysis , pp. 284-295
    • Papoulis, A.1
  • 19
    • 85032751591 scopus 로고
    • Linear and quadratic time-frequency signal representations
    • April
    • F. Hlawatsch and G. F. Boudreaux-Bartels, "Linear and quadratic time-frequency signal representations," IEEE Signal Process. Mag., April 1992, pp. 21-67.
    • (1992) IEEE Signal Process. Mag. , pp. 21-67
    • Hlawatsch, F.1    Boudreaux-Bartels, G.F.2
  • 20
    • 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. A10, 2181-2186 (1993).
    • (1993) J. Opt. Soc. Am. A , vol.10 , pp. 2181-2186
    • Lohmann, A.W.1
  • 21
    • 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, 3084-3091 (1994).
    • (1994) IEEE Trans. Signal Process. , vol.42 , pp. 3084-3091
    • Almeida, L.B.1
  • 22
    • 77956711851 scopus 로고    scopus 로고
    • Fractional transformation in optics
    • E. Wolf, ed. (Elsevier, Amsterdam)
    • A. W. Lohmann, D. Mendlovic, and Z. Zalevsky, "Fractional transformation in optics," in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 1998), Vol. 38, pp. 263-342.
    • (1998) Progress in Optics , vol.38 , pp. 263-342
    • Lohmann, A.W.1    Mendlovic, D.2    Zalevsky, Z.3
  • 23
    • 77957719167 scopus 로고    scopus 로고
    • Introduction to the fractional Fourier transform and its applications
    • P. W. Hawkes, ed. (Academic, San Diego, Calif.)
    • H. M. Ozaktas, M. A. Kutay, and D. Mendlovic, "Introduction to the fractional Fourier transform and its applications," in Advances in Imaging and Electron Physics, P. W. Hawkes, ed. (Academic, San Diego, Calif., 1999), Vol. 106, pp. 239-291.
    • (1999) Advances in Imaging and Electron Physics , vol.106 , pp. 239-291
    • Ozaktas, H.M.1    Kutay, M.A.2    Mendlovic, D.3
  • 25
    • 84937655864 scopus 로고
    • Visual pattern recognition by moment invariants
    • M. K. Hu, "Visual pattern recognition by moment invariants," IRE Trans. Inf. Theory IT-8, 179-187 (1962).
    • (1962) IRE Trans. Inf. Theory , vol.IT-8 , pp. 179-187
    • Hu, M.K.1
  • 27
    • 0001871334 scopus 로고
    • Uncertainty principles in Fourier analysis
    • O. Shisha, ed. (Academic, New York)
    • N. G. de Bruijn, "Uncertainty principles in Fourier analysis," in Inequalities, O. Shisha, ed. (Academic, New York, 1967), pp. 57-71.
    • (1967) Inequalities , pp. 57-71
    • De Bruijn, N.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.