Page 208 - Phase Space Optics Fundamentals and Applications

Imaging Systems: Phase-Space Representations 189

It is pleasure to acknowledge useful discussions with A. W.
Lohmann, K. H. Brenner, N. Streibl, H. O. Bartelt, E. E. Sicre, P. Andr´es,
L. R. Berriel-Valdos, W. H. Steel, M. E. Testorf, W. T. Cathey, E. R.
Dowski, J. Santamar´ıa, M. J. Yzuel, A. Sauceda-Carvajal, Albertina
Castro, W. T. Rhodes, M. Martinez-Corral, L. Mertz, J. P. Guigay, C.
Sheppard, H. Escamilla-Taylor, J. E. A. Landgrave, and Cristina M.
G´omez Sarabia.

References
1. M. J. Bastiaans, “Wigner distribution and its relatives,” Chap. 1, Phase Space
Representations in Optics, McGraw-Hill, New York, 2008.
2. J.-P. Guigay, “Ambiguity function in optical imaging,” Chap. 2, Phase Space
Representations in Optics, McGraw-Hill, New York, 2008.
3. W. T. Rhodes and J. M. Florence, “Frequency variant optical signal analysis,”
Appl. Opt., 15: 3073–3079 (1975).
4. B. E. Saleh, “Bilinear processing of one-dimensional signals by use of linear
two-dimensional coherent optical processors,” Appl. Opt., 17: 3408–3411 (1978).
5. L. J. Cutrona, E. N. Leith, C. J. Palermo, and L. J. Porcello, “Optical data pro-
cessing and filtering systems,” IRE Trans. Inf. Theory IT6: 386 (1960).
6. E. N. Leith, A. Kozma, and J. Upatnieks, “Coherent optical systems for
data processing, spatial filtering, and wavefront reconstruction,” Optical and
Electro-Optical Information Processing, J. T. Tippet et al. (eds.), Massachusetts
Institute of Technology Press, Cambridge, 1965, pp. 143–158.
7. L. J. Cutrona, “Recent developments in coherent optical technology,” Optical
and Electro-Optical Information Processing, J. T. Tippet et al. (eds.), Massachusetts
Institute of Technology Press, Cambridge, 1965, pp. 83–123.
8. J. Wood and D. Barry, “Linear signal synthesis using the Radon-Wigner trans-
form,” IEEE Trans. Signal Process. 42: 2101–2111 (1995).
9. J. Ville, “Th´eorie et applications de la notion de signal analytique,” Cˆ abl´ es and
Transmission 2: 61–74 (1948). Reprinted in English in Selected Papers on Phase-
Space Optics, M. E. Testorf et al. (eds.), SPIE Milestone Series 181, Bellingham,
Washington, USA, 2006, pp. 149–181.
10. K.-H. Brenner and J. Ojeda-Castaneda, “Ambiguity function and Wigner distri-
bution function applied to partially coherent imagery,” Opt. Acta, 31: 213–223
(1984).
11. A. W. Lohmann, J. Ojeda-Castaneda, and N. Streibl, “The influence of wave
aberrations on the Wigner distribution,” Opt. Appl., 13: 467–471 (1983).
12. M. J. Bastiaans, “The Wigner distribution function and the Hamiltonian’s char-
acteristics of a geometrical optical system,” Opt. Comm., 30: 321–326 (1979).
13. B. E. A. Saleh, “Optical bilinear transformations: General properties,” Opt. Acta
26: 777–799 (1979).
14. B. E. Saleh and W. C. Goeke, “Linear restoration of bilinearly distorted images,”
J. Opt. Soc. Amer., 70: 506–514 (1980).
15. J. Ojeda-Castaneda and E. E. Sicre, “Bilinear optical systems: Wigner distribu-
tion function and ambiguity function representations,” Opt. Acta 31: 255–260
(1984).
16. H. H. Hopkins, Wave Theory of Aberrations, Oxford University Press, Oxford,
1950.
17. H. H. Hopkins, “The frequency response of a defocused optical system,” Proc.
Roy. Soc., A 231: 91–103 (1955).
18. P. Mouroulis and J. MacDonald, Geometrical Optics and Optical Design, Oxford
University Press, Oxford, 1999.