Abstract

The non-paraxial phase-space representation of diffraction of optical fields in any state of spatial coherence has been successfully modeled by assuming a discrete set of radiant point sources at the aperture plane instead of a continuous wave-front. More than a mere calculation strategy, this discreteness seems to be a physical feature of the field, independent from the sampling procedure of the modeling.

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  1. M. Born, and E. Wolf, Principles of Optics (Pergamon Press, 2005); Eq. (17) in Sec. 8.3.2 is the Fresnel-Kirchhoff diffraction formula.
  2. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, 1995); Eq. (4.4-25) is the Wolf’s integral equation.
  3. R. Castañeda and J. Garcia-Sucerquia, “Non-approximated numerical modeling of propagation of light in any state of spatial coherence,” Opt. Express19(25), 25022–25034 (2011).
    [CrossRef] [PubMed]
  4. R. Castañeda, The Optics of Spatial Coherence Wavelets, Vol 164 of Advances in Imaging and Electron Physics, P. W. Hawkes, ed. (Academic, 2010), pp. 29–255.
  5. R. Castañeda, G. Cañas-Cardona, and J. Garcia-Sucerquia, “Radiant, virtual, and dual sources of optical fields in any state of spatial coherence,” J. Opt. Soc. Am. A27(6), 1322–1330 (2010).
    [CrossRef] [PubMed]
  6. M. Testorf, B. Hennelly, and J. Ojeda-Castaneda, Phase-Space Optics: Fundamentals and Applications (Mc Graw-Hill, 2010).
  7. K. Wolf, M. Alonso, and G. Forbes, “Wigner functions for Helmholtz wave fields,” J. Opt. Soc. Am. A16(10), 2476–2487 (1999).
    [CrossRef]
  8. E. Marchand and E. Wolf, “Walther’s definition of generalized radiance,” J. Opt. Soc. Am.64(9), 1273–1274 (1974).
    [CrossRef]
  9. R. Castañeda, “Generalised radiant emittance in the phase-space representation of planar sources in any state of spatial coherence,” Opt. Commun.284(19), 4259–4262 (2011).
    [CrossRef]

2011

R. Castañeda, “Generalised radiant emittance in the phase-space representation of planar sources in any state of spatial coherence,” Opt. Commun.284(19), 4259–4262 (2011).
[CrossRef]

R. Castañeda and J. Garcia-Sucerquia, “Non-approximated numerical modeling of propagation of light in any state of spatial coherence,” Opt. Express19(25), 25022–25034 (2011).
[CrossRef] [PubMed]

2010

1999

1974

Alonso, M.

Cañas-Cardona, G.

Castañeda, R.

Forbes, G.

Garcia-Sucerquia, J.

Marchand, E.

Wolf, E.

Wolf, K.

J. Opt. Soc. Am.

J. Opt. Soc. Am. A

Opt. Commun.

R. Castañeda, “Generalised radiant emittance in the phase-space representation of planar sources in any state of spatial coherence,” Opt. Commun.284(19), 4259–4262 (2011).
[CrossRef]

Opt. Express

Other

M. Born, and E. Wolf, Principles of Optics (Pergamon Press, 2005); Eq. (17) in Sec. 8.3.2 is the Fresnel-Kirchhoff diffraction formula.

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, 1995); Eq. (4.4-25) is the Wolf’s integral equation.

R. Castañeda, The Optics of Spatial Coherence Wavelets, Vol 164 of Advances in Imaging and Electron Physics, P. W. Hawkes, ed. (Academic, 2010), pp. 29–255.

M. Testorf, B. Hennelly, and J. Ojeda-Castaneda, Phase-Space Optics: Fundamentals and Applications (Mc Graw-Hill, 2010).

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