Analytic relation for recovering the mutual intensity by means of intensity information

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 15, Issue 1, 1998, Pages 202-206

  Tu, Jinhong ^a   Tamura, Shinichi ^a  

^a OSAKA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001603729     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.15.000202     Document Type: Article

References (23)

1. K. A. Nugent, “Wave field determination using threedimensional intensity information,” Phys. Rev. Lett. 68, 2261–2264 (1992)
2. G. Hazak, “Comment on ‘Wave field determination using three-dimensional intensity information’,” Phys. Rev. Lett. 69, 2874–2784 (1992).
3. F. Gori, M. Santarsiero, and G. Guattari, “Coherence and space distribution of intensity,” J. Opt. Soc. Am. A 10, 673–679 (1993)
4. T. E. Gureyev, A. Roberts, and K. A. Nugent, “Partially coherent fields, the transport-of-intensity equation, and phase uniqueness,” J. Opt. Soc. Am. A 12, 1942–1946 (1995).
5. M. G. Raymer, M. Beck, and D. F. McAlister, “Complex wave-field reconstruction using phase-space tomography,” Phys. Rev. Lett. 72, 1137–1140 (1994).
6. D. F. McAlister, M. Beck, L. Clarke, A. Mayer, and M. G. Raymer, “Optical phase retrieval by phase-space tomography and fractional-order Fourier transforms,” Opt. Lett. 20, 1181–1183 (1995).
7. R. Gase, T. Gase, and K. Bliithner, “Complex wave-field reconstruction by means of the Page distribution function,” Opt. Lett. 20, 2045–2047 (1995).
8. G. Iaconis and I. A. Walmsley, “Direct measurement of the two-point field correlation function,” Opt. Lett. 21, 1783–1785 (1996).
9. U. Janicke and M. Wilkens, “Tomography of atom beams,” J. Mod. Opt. 42, 2183–2199 (1995).
10. T. Alieva and F. Agullo-Lopez, “Reconstruction of the optical correlation function in a quadratic refractive index medium,” Opt. Commun. 114, 161–169 (1995).
11. J. Tu and S. Tamura, “Wave field determination using tomography of ambiguity function,” Phys. Rev. E 55, 1946–1949 (1997).
12. A. W. Lohmann, “Image rotation, Wigner rotation, and the fractional Fourier transform,” J. Opt. Soc. Am. A 10, 2181–2186 (1993).
13. 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).
14. Haldum M. Ozaktas and D. Mendlovic, “Fractional Fourier optics,” J. Opt. Soc. Am. A 12, 743–751 (1995).
15. M. Beck, M. G. Raymer, I. A. Walmsley, and V. Wang, “Chronocyclic tomography for measuring the amplitude and phase structure of optical pulses,” Opt. Lett. 18, 2041–2043 (1993).
16. K. H. Brenner and J. Ojeda-Castaneda, “Ambiguity function and Wigner distribution function applied to partially coherent imagery,” Opt. Acta. 31, 213–223 (1984).
17. H. Kuhn, D.-G. Welsch, and W. Vogel, “Determination of density matrices from field distributions and quasiprobabilities,” J. Mod. Opt. 41, 1607–1613 (1994).
18. D. T. Smithey, M. Beck, and M. G. Raymer, “Measurement of the Wigner distribution and the density matrix of a light mode using optical homodyne tomography: application to squeezed states and the vacuum,” Phys. Rev. Lett. 70, 1244–1247 (1993).
19. K. Vogel and H. Risken, “Determination of quasiprobability distributions in terms of probability distribution for the quadrature phase,” Phys. Rev. A 40, 2847–2849 (1989).
20. G. M. D’Ariano, U. Leonhardt, and H. Paul, “Homodyne detection of the density matrix of the radiation field,” Phys. Rev. A 52, R1801-R1805 (1995).
21. U. Leonhardt, M. Munroe, T. Kiss, Th. Richter, and M. G. Raymer, “Sampling of photon statistics and density matrix using homodyne detection,” Opt. Commun. 127, 144–160 (1996).
22. A. Zucchetti, W. Vogel, M. Tasche, and D.-G. Welsch, “Direct sampling of density matrices in field-strength bases,” Phys. Rev. A 54, 1678–1681 (1996).
23. M. Fatih Erden, H. M. Ozaktas, and D. Mendlovic, “Propagation of mutual intensity expressed in terms of the fractional Fourier transform,” J. Opt. Soc. Am. A 13, 1068–1071 (1996).