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  1. E. Lau, “Beugungserscheinungen an Doppelrastern,” Ann. Phys. 6, 417 (1948).
    [Crossref]
  2. J. Jahns, A. W. Lohmann, “The Lau Effect: A Diffraction Experiment with Incoherent Illumination,” Opt. Commun. 28, 263 (1979).
    [Crossref]
  3. F. Gori, “Lau Effect and Coherence Theory,” Opt. Commun. 31, 4 (1979).
    [Crossref]
  4. R. J. Sudol, B. J. Thompson, “Lau Effect, Theory and Experiment,” Appl. Opt. 20, 1107 (1981).
    [Crossref] [PubMed]
  5. G. J. Swanson, E. N. Leith, “Lau Effect and Grating Imaging,” J. Opt. Soc. Am. 72, 552 (1982).
    [Crossref]
  6. K.-H. Brenner, A. W. Lohmann, J. Ojeda-Castaneda, “Lau Effect: OTF Theory,” Opt. Commun. 46, 14 (1983).
    [Crossref]
  7. J. Jahns, A. W. Lohmann, J. Ojeda-Castaneda, “Talbot and Lau Effects, a Parageometrical Approach,” Opt. Acta 31, 313 (1984).
    [Crossref]
  8. J. Ojeda-Castaneda, E. E. Sicre, “Quasi Ray-Optical Approach to Longitudinal Periodicities of Free and Bounded Wavefields,” Opt. Acta 32, 17 (1985).
    [Crossref]
  9. H. Bartelt, J. Jahns, “Interferometry Based on the Lau Effect,” Opt. Commun. 30, 268 (1979).
    [Crossref]
  10. K. Patorski, “Heuristic Explanation of Grating Shearing Interferometry using Incoherent Illumination,” Opt. Acta 31, 33 (1984).
    [Crossref]
  11. N. Bolognini, J. Ojeda-Castaneda, E. E. Sicre, “Interferometry Based on the Lau Effect. A Quasi-ray Description,” Opt. Acta 32, 409 (1985).
    [Crossref]
  12. H. Bartelt, Y. Li, “Lau Interferometry with Cross Gratings,” Opt. Commun. 48, 1 (1983).
    [Crossref]
  13. A. W. Lohmann, D. E. Silva, “A Talbot Interferometer with Circular Gratings,” Opt. Commun. 4, 326 (1972).
    [Crossref]
  14. M. Born, E. Wolf, Principles of Optics (Pergamon, New York, 1975), Chap. 10.
  15. R. N. Bracewell, A. R. Thompson, “The Main Beam and Ringlobes of an East-West Rotation-Synthesis Array,” Astrophys. J. 182, 77 (1973).
    [Crossref]
  16. D. Tichenor, R. N. Bracewell, “Fraunhofer Diffraction of Concentric Annular Slits,” J. Opt. Soc. Am. 63, 1620 (1973).
    [Crossref]

1985 (2)

J. Ojeda-Castaneda, E. E. Sicre, “Quasi Ray-Optical Approach to Longitudinal Periodicities of Free and Bounded Wavefields,” Opt. Acta 32, 17 (1985).
[Crossref]

N. Bolognini, J. Ojeda-Castaneda, E. E. Sicre, “Interferometry Based on the Lau Effect. A Quasi-ray Description,” Opt. Acta 32, 409 (1985).
[Crossref]

1984 (2)

J. Jahns, A. W. Lohmann, J. Ojeda-Castaneda, “Talbot and Lau Effects, a Parageometrical Approach,” Opt. Acta 31, 313 (1984).
[Crossref]

K. Patorski, “Heuristic Explanation of Grating Shearing Interferometry using Incoherent Illumination,” Opt. Acta 31, 33 (1984).
[Crossref]

1983 (2)

H. Bartelt, Y. Li, “Lau Interferometry with Cross Gratings,” Opt. Commun. 48, 1 (1983).
[Crossref]

K.-H. Brenner, A. W. Lohmann, J. Ojeda-Castaneda, “Lau Effect: OTF Theory,” Opt. Commun. 46, 14 (1983).
[Crossref]

1982 (1)

1981 (1)

1979 (3)

J. Jahns, A. W. Lohmann, “The Lau Effect: A Diffraction Experiment with Incoherent Illumination,” Opt. Commun. 28, 263 (1979).
[Crossref]

F. Gori, “Lau Effect and Coherence Theory,” Opt. Commun. 31, 4 (1979).
[Crossref]

H. Bartelt, J. Jahns, “Interferometry Based on the Lau Effect,” Opt. Commun. 30, 268 (1979).
[Crossref]

1973 (2)

R. N. Bracewell, A. R. Thompson, “The Main Beam and Ringlobes of an East-West Rotation-Synthesis Array,” Astrophys. J. 182, 77 (1973).
[Crossref]

D. Tichenor, R. N. Bracewell, “Fraunhofer Diffraction of Concentric Annular Slits,” J. Opt. Soc. Am. 63, 1620 (1973).
[Crossref]

1972 (1)

A. W. Lohmann, D. E. Silva, “A Talbot Interferometer with Circular Gratings,” Opt. Commun. 4, 326 (1972).
[Crossref]

1948 (1)

E. Lau, “Beugungserscheinungen an Doppelrastern,” Ann. Phys. 6, 417 (1948).
[Crossref]

Bartelt, H.

H. Bartelt, Y. Li, “Lau Interferometry with Cross Gratings,” Opt. Commun. 48, 1 (1983).
[Crossref]

H. Bartelt, J. Jahns, “Interferometry Based on the Lau Effect,” Opt. Commun. 30, 268 (1979).
[Crossref]

Bolognini, N.

N. Bolognini, J. Ojeda-Castaneda, E. E. Sicre, “Interferometry Based on the Lau Effect. A Quasi-ray Description,” Opt. Acta 32, 409 (1985).
[Crossref]

Born, M.

M. Born, E. Wolf, Principles of Optics (Pergamon, New York, 1975), Chap. 10.

Bracewell, R. N.

R. N. Bracewell, A. R. Thompson, “The Main Beam and Ringlobes of an East-West Rotation-Synthesis Array,” Astrophys. J. 182, 77 (1973).
[Crossref]

D. Tichenor, R. N. Bracewell, “Fraunhofer Diffraction of Concentric Annular Slits,” J. Opt. Soc. Am. 63, 1620 (1973).
[Crossref]

Brenner, K.-H.

K.-H. Brenner, A. W. Lohmann, J. Ojeda-Castaneda, “Lau Effect: OTF Theory,” Opt. Commun. 46, 14 (1983).
[Crossref]

Gori, F.

F. Gori, “Lau Effect and Coherence Theory,” Opt. Commun. 31, 4 (1979).
[Crossref]

Jahns, J.

J. Jahns, A. W. Lohmann, J. Ojeda-Castaneda, “Talbot and Lau Effects, a Parageometrical Approach,” Opt. Acta 31, 313 (1984).
[Crossref]

H. Bartelt, J. Jahns, “Interferometry Based on the Lau Effect,” Opt. Commun. 30, 268 (1979).
[Crossref]

J. Jahns, A. W. Lohmann, “The Lau Effect: A Diffraction Experiment with Incoherent Illumination,” Opt. Commun. 28, 263 (1979).
[Crossref]

Lau, E.

E. Lau, “Beugungserscheinungen an Doppelrastern,” Ann. Phys. 6, 417 (1948).
[Crossref]

Leith, E. N.

Li, Y.

H. Bartelt, Y. Li, “Lau Interferometry with Cross Gratings,” Opt. Commun. 48, 1 (1983).
[Crossref]

Lohmann, A. W.

J. Jahns, A. W. Lohmann, J. Ojeda-Castaneda, “Talbot and Lau Effects, a Parageometrical Approach,” Opt. Acta 31, 313 (1984).
[Crossref]

K.-H. Brenner, A. W. Lohmann, J. Ojeda-Castaneda, “Lau Effect: OTF Theory,” Opt. Commun. 46, 14 (1983).
[Crossref]

J. Jahns, A. W. Lohmann, “The Lau Effect: A Diffraction Experiment with Incoherent Illumination,” Opt. Commun. 28, 263 (1979).
[Crossref]

A. W. Lohmann, D. E. Silva, “A Talbot Interferometer with Circular Gratings,” Opt. Commun. 4, 326 (1972).
[Crossref]

Ojeda-Castaneda, J.

J. Ojeda-Castaneda, E. E. Sicre, “Quasi Ray-Optical Approach to Longitudinal Periodicities of Free and Bounded Wavefields,” Opt. Acta 32, 17 (1985).
[Crossref]

N. Bolognini, J. Ojeda-Castaneda, E. E. Sicre, “Interferometry Based on the Lau Effect. A Quasi-ray Description,” Opt. Acta 32, 409 (1985).
[Crossref]

J. Jahns, A. W. Lohmann, J. Ojeda-Castaneda, “Talbot and Lau Effects, a Parageometrical Approach,” Opt. Acta 31, 313 (1984).
[Crossref]

K.-H. Brenner, A. W. Lohmann, J. Ojeda-Castaneda, “Lau Effect: OTF Theory,” Opt. Commun. 46, 14 (1983).
[Crossref]

Patorski, K.

K. Patorski, “Heuristic Explanation of Grating Shearing Interferometry using Incoherent Illumination,” Opt. Acta 31, 33 (1984).
[Crossref]

Sicre, E. E.

N. Bolognini, J. Ojeda-Castaneda, E. E. Sicre, “Interferometry Based on the Lau Effect. A Quasi-ray Description,” Opt. Acta 32, 409 (1985).
[Crossref]

J. Ojeda-Castaneda, E. E. Sicre, “Quasi Ray-Optical Approach to Longitudinal Periodicities of Free and Bounded Wavefields,” Opt. Acta 32, 17 (1985).
[Crossref]

Silva, D. E.

A. W. Lohmann, D. E. Silva, “A Talbot Interferometer with Circular Gratings,” Opt. Commun. 4, 326 (1972).
[Crossref]

Sudol, R. J.

Swanson, G. J.

Thompson, A. R.

R. N. Bracewell, A. R. Thompson, “The Main Beam and Ringlobes of an East-West Rotation-Synthesis Array,” Astrophys. J. 182, 77 (1973).
[Crossref]

Thompson, B. J.

Tichenor, D.

Wolf, E.

M. Born, E. Wolf, Principles of Optics (Pergamon, New York, 1975), Chap. 10.

Ann. Phys. (1)

E. Lau, “Beugungserscheinungen an Doppelrastern,” Ann. Phys. 6, 417 (1948).
[Crossref]

Appl. Opt. (1)

Astrophys. J. (1)

R. N. Bracewell, A. R. Thompson, “The Main Beam and Ringlobes of an East-West Rotation-Synthesis Array,” Astrophys. J. 182, 77 (1973).
[Crossref]

J. Opt. Soc. Am. (2)

Opt. Acta (4)

K. Patorski, “Heuristic Explanation of Grating Shearing Interferometry using Incoherent Illumination,” Opt. Acta 31, 33 (1984).
[Crossref]

N. Bolognini, J. Ojeda-Castaneda, E. E. Sicre, “Interferometry Based on the Lau Effect. A Quasi-ray Description,” Opt. Acta 32, 409 (1985).
[Crossref]

J. Jahns, A. W. Lohmann, J. Ojeda-Castaneda, “Talbot and Lau Effects, a Parageometrical Approach,” Opt. Acta 31, 313 (1984).
[Crossref]

J. Ojeda-Castaneda, E. E. Sicre, “Quasi Ray-Optical Approach to Longitudinal Periodicities of Free and Bounded Wavefields,” Opt. Acta 32, 17 (1985).
[Crossref]

Opt. Commun. (6)

H. Bartelt, J. Jahns, “Interferometry Based on the Lau Effect,” Opt. Commun. 30, 268 (1979).
[Crossref]

H. Bartelt, Y. Li, “Lau Interferometry with Cross Gratings,” Opt. Commun. 48, 1 (1983).
[Crossref]

A. W. Lohmann, D. E. Silva, “A Talbot Interferometer with Circular Gratings,” Opt. Commun. 4, 326 (1972).
[Crossref]

K.-H. Brenner, A. W. Lohmann, J. Ojeda-Castaneda, “Lau Effect: OTF Theory,” Opt. Commun. 46, 14 (1983).
[Crossref]

J. Jahns, A. W. Lohmann, “The Lau Effect: A Diffraction Experiment with Incoherent Illumination,” Opt. Commun. 28, 263 (1979).
[Crossref]

F. Gori, “Lau Effect and Coherence Theory,” Opt. Commun. 31, 4 (1979).
[Crossref]

Other (1)

M. Born, E. Wolf, Principles of Optics (Pergamon, New York, 1975), Chap. 10.

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Figures (2)

Fig. 1
Fig. 1

Optical setup to produce Lau effect. G1 and G2 are two identical circular gratings. The lens L1 images the incoherent source S onto the first grating G1.

Fig. 2
Fig. 2

Recording of the interference fringe pattern observed at F.

Equations (5)

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I ( ξ , η ) = n = 1 N I n δ ( ρ - n p ) ;             ρ = ( ξ 2 + η 2 ) 1 / 2 ,
μ ( x 1 , y 1 ; x 2 , y 2 ; z 0 ) = K - I ( ξ , η ) exp { - 2 π i ( λ z 0 ) [ ( x 1 - x 2 ) ξ + ( y 1 - y 2 ) η ] } d ξ d η .
μ ( Δ r ; z 0 ) = K n = 1 N 2 π n I n p J 0 ( 2 π n p Δ r / λ z 0 ) ,
μ ( Δ r ; z 0 ) K I 0 k = - ( 2 N + 1 ) [ ( N + ½ ) p λ z 0 π Δ r ] 1 / 2 × sinc ( 1 / 2 ) [ 2 π ( N + ½ ) ( p Δ r λ z 0 - k ) ] .
μ ( Δ r ; z 0 ) N K I 0 [ ( λ z 0 p ) δ ( Δ r ) + ( p λ z 0 2 π Δ r ) 1 / 2 k = 1 δ ( 1 / 2 ) ( p Δ r λ z 0 - k ) ] .

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