Abstract

The coherence area is measured in a simple Young’s experiment using parametric downconversion light produced in a nonlinear crystal (LiIO3) pumped by a continuous argon-ion laser. The normalized mutual intensity or degree of coherence is obtained from the intensity distribution interference patterns and compared with a standard theory in which the light source behaves as a surface with infinitesimal uncorrelated emitters.

© 1994 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. W. H. Louisell, A. Yariv, A. E. Siegman, “Quantum fluctuations and noise in parametric processes. I.,” Phys. Rev. 124, 1646–1654 (1961); D. C. Burnham, D. L. Weinberg, “Observation of simultaneity in parametric production of optical photon pairs,” Phys. Rev. Lett. 25, 84–87 (1970).
    [Crossref]
  2. X. T. Zou, T. Grayson, G. A. Barbosa, L. Mandel, “Control of visibility in the interference of signal photons by delays imposed on the idlers,” Phys. Rev. A 47, 2293–2295 (1993); A. Heidmann, R. J. Horowicz, S. Reynaud, E. Giacobino, C. Fabre, G. Camy, “Observation of quantum noise reduction on twin laser beam,” Phys. Rev. Lett. 59, 2555–2557 (1987); G. A. Barbosa, C. H. Monken, “Enhancing the sub-poissonian character of a light beam from the down-conversion luminescence,” Phys. Rev. Lett. 67, 3372–3375 (1991).
    [Crossref] [PubMed]
  3. G. A. Barbosa, “Aplicacão do conceito de área de coêrdncia óptica: sistema óptico para espectroscopia Rayleigh,” Revista Brasil. Fis. 11, 533–541 (1981).
  4. M. Born, E. Wolf, Principles of Optics, 2nd ed. (Pergamon, New York, 1964), Chap. 10, pp. 505–513.
  5. J. Q. Yao, T. S. Fahlen, “Calculations of optimum phase match parameters for the biaxial crystal KTiOPO4,” J. Appl. Phys. 55, 65–68 (1984).
    [Crossref]
  6. A. Starikov, E. Wolf, “Coherent-mode representation of Gaussian Schell-model sources and of their radiation fields,” J. Opt. Soc. Am. 72, 923–928 (1982).
    [Crossref]

1993 (1)

X. T. Zou, T. Grayson, G. A. Barbosa, L. Mandel, “Control of visibility in the interference of signal photons by delays imposed on the idlers,” Phys. Rev. A 47, 2293–2295 (1993); A. Heidmann, R. J. Horowicz, S. Reynaud, E. Giacobino, C. Fabre, G. Camy, “Observation of quantum noise reduction on twin laser beam,” Phys. Rev. Lett. 59, 2555–2557 (1987); G. A. Barbosa, C. H. Monken, “Enhancing the sub-poissonian character of a light beam from the down-conversion luminescence,” Phys. Rev. Lett. 67, 3372–3375 (1991).
[Crossref] [PubMed]

1984 (1)

J. Q. Yao, T. S. Fahlen, “Calculations of optimum phase match parameters for the biaxial crystal KTiOPO4,” J. Appl. Phys. 55, 65–68 (1984).
[Crossref]

1982 (1)

1981 (1)

G. A. Barbosa, “Aplicacão do conceito de área de coêrdncia óptica: sistema óptico para espectroscopia Rayleigh,” Revista Brasil. Fis. 11, 533–541 (1981).

1961 (1)

W. H. Louisell, A. Yariv, A. E. Siegman, “Quantum fluctuations and noise in parametric processes. I.,” Phys. Rev. 124, 1646–1654 (1961); D. C. Burnham, D. L. Weinberg, “Observation of simultaneity in parametric production of optical photon pairs,” Phys. Rev. Lett. 25, 84–87 (1970).
[Crossref]

Barbosa, G. A.

X. T. Zou, T. Grayson, G. A. Barbosa, L. Mandel, “Control of visibility in the interference of signal photons by delays imposed on the idlers,” Phys. Rev. A 47, 2293–2295 (1993); A. Heidmann, R. J. Horowicz, S. Reynaud, E. Giacobino, C. Fabre, G. Camy, “Observation of quantum noise reduction on twin laser beam,” Phys. Rev. Lett. 59, 2555–2557 (1987); G. A. Barbosa, C. H. Monken, “Enhancing the sub-poissonian character of a light beam from the down-conversion luminescence,” Phys. Rev. Lett. 67, 3372–3375 (1991).
[Crossref] [PubMed]

G. A. Barbosa, “Aplicacão do conceito de área de coêrdncia óptica: sistema óptico para espectroscopia Rayleigh,” Revista Brasil. Fis. 11, 533–541 (1981).

Born, M.

M. Born, E. Wolf, Principles of Optics, 2nd ed. (Pergamon, New York, 1964), Chap. 10, pp. 505–513.

Fahlen, T. S.

J. Q. Yao, T. S. Fahlen, “Calculations of optimum phase match parameters for the biaxial crystal KTiOPO4,” J. Appl. Phys. 55, 65–68 (1984).
[Crossref]

Grayson, T.

X. T. Zou, T. Grayson, G. A. Barbosa, L. Mandel, “Control of visibility in the interference of signal photons by delays imposed on the idlers,” Phys. Rev. A 47, 2293–2295 (1993); A. Heidmann, R. J. Horowicz, S. Reynaud, E. Giacobino, C. Fabre, G. Camy, “Observation of quantum noise reduction on twin laser beam,” Phys. Rev. Lett. 59, 2555–2557 (1987); G. A. Barbosa, C. H. Monken, “Enhancing the sub-poissonian character of a light beam from the down-conversion luminescence,” Phys. Rev. Lett. 67, 3372–3375 (1991).
[Crossref] [PubMed]

Louisell, W. H.

W. H. Louisell, A. Yariv, A. E. Siegman, “Quantum fluctuations and noise in parametric processes. I.,” Phys. Rev. 124, 1646–1654 (1961); D. C. Burnham, D. L. Weinberg, “Observation of simultaneity in parametric production of optical photon pairs,” Phys. Rev. Lett. 25, 84–87 (1970).
[Crossref]

Mandel, L.

X. T. Zou, T. Grayson, G. A. Barbosa, L. Mandel, “Control of visibility in the interference of signal photons by delays imposed on the idlers,” Phys. Rev. A 47, 2293–2295 (1993); A. Heidmann, R. J. Horowicz, S. Reynaud, E. Giacobino, C. Fabre, G. Camy, “Observation of quantum noise reduction on twin laser beam,” Phys. Rev. Lett. 59, 2555–2557 (1987); G. A. Barbosa, C. H. Monken, “Enhancing the sub-poissonian character of a light beam from the down-conversion luminescence,” Phys. Rev. Lett. 67, 3372–3375 (1991).
[Crossref] [PubMed]

Siegman, A. E.

W. H. Louisell, A. Yariv, A. E. Siegman, “Quantum fluctuations and noise in parametric processes. I.,” Phys. Rev. 124, 1646–1654 (1961); D. C. Burnham, D. L. Weinberg, “Observation of simultaneity in parametric production of optical photon pairs,” Phys. Rev. Lett. 25, 84–87 (1970).
[Crossref]

Starikov, A.

Wolf, E.

Yao, J. Q.

J. Q. Yao, T. S. Fahlen, “Calculations of optimum phase match parameters for the biaxial crystal KTiOPO4,” J. Appl. Phys. 55, 65–68 (1984).
[Crossref]

Yariv, A.

W. H. Louisell, A. Yariv, A. E. Siegman, “Quantum fluctuations and noise in parametric processes. I.,” Phys. Rev. 124, 1646–1654 (1961); D. C. Burnham, D. L. Weinberg, “Observation of simultaneity in parametric production of optical photon pairs,” Phys. Rev. Lett. 25, 84–87 (1970).
[Crossref]

Zou, X. T.

X. T. Zou, T. Grayson, G. A. Barbosa, L. Mandel, “Control of visibility in the interference of signal photons by delays imposed on the idlers,” Phys. Rev. A 47, 2293–2295 (1993); A. Heidmann, R. J. Horowicz, S. Reynaud, E. Giacobino, C. Fabre, G. Camy, “Observation of quantum noise reduction on twin laser beam,” Phys. Rev. Lett. 59, 2555–2557 (1987); G. A. Barbosa, C. H. Monken, “Enhancing the sub-poissonian character of a light beam from the down-conversion luminescence,” Phys. Rev. Lett. 67, 3372–3375 (1991).
[Crossref] [PubMed]

J. Appl. Phys. (1)

J. Q. Yao, T. S. Fahlen, “Calculations of optimum phase match parameters for the biaxial crystal KTiOPO4,” J. Appl. Phys. 55, 65–68 (1984).
[Crossref]

J. Opt. Soc. Am. (1)

Phys. Rev. (1)

W. H. Louisell, A. Yariv, A. E. Siegman, “Quantum fluctuations and noise in parametric processes. I.,” Phys. Rev. 124, 1646–1654 (1961); D. C. Burnham, D. L. Weinberg, “Observation of simultaneity in parametric production of optical photon pairs,” Phys. Rev. Lett. 25, 84–87 (1970).
[Crossref]

Phys. Rev. A (1)

X. T. Zou, T. Grayson, G. A. Barbosa, L. Mandel, “Control of visibility in the interference of signal photons by delays imposed on the idlers,” Phys. Rev. A 47, 2293–2295 (1993); A. Heidmann, R. J. Horowicz, S. Reynaud, E. Giacobino, C. Fabre, G. Camy, “Observation of quantum noise reduction on twin laser beam,” Phys. Rev. Lett. 59, 2555–2557 (1987); G. A. Barbosa, C. H. Monken, “Enhancing the sub-poissonian character of a light beam from the down-conversion luminescence,” Phys. Rev. Lett. 67, 3372–3375 (1991).
[Crossref] [PubMed]

Revista Brasil. Fis. (1)

G. A. Barbosa, “Aplicacão do conceito de área de coêrdncia óptica: sistema óptico para espectroscopia Rayleigh,” Revista Brasil. Fis. 11, 533–541 (1981).

Other (1)

M. Born, E. Wolf, Principles of Optics, 2nd ed. (Pergamon, New York, 1964), Chap. 10, pp. 505–513.

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (4)

Fig. 1
Fig. 1

Experimetal setup for measuring coherence area in parametric downconversion luminescence. IF, interference filter.

Fig. 2
Fig. 2

Schematic representation of the setup and notational guide. Source dimensions, a 0 = 486 μm and b 0 = 5 mm; slits dimensions, aη = 80 μm and bξ = 7 mm; distance between slits, dη, = 90 μm; detector dimensions a x = 130 μm and b y = 4 mm.

Fig. 3
Fig. 3

Degree of coherence or contrast as function of the source to slits distance. Experimental data are shown by the triangles, the theoretical prediction for source’s uniform profile is shown by the dashed curve, and the theoretical prediction for source’s Gaussian profile is shown by the solid curve.

Fig. 4
Fig. 4

Intensity distributions for source-to-slits distances and fittings.

Tables (1)

Tables Icon

Table 1 Comparison Between Measured and Theoretical Coherence Area Transverse Dimensions (μm)

Equations (12)

Equations on this page are rendered with MathJax. Learn more.

I ( Q ) = I 1 ( Q ) + I 2 ( Q ) + [ I 1 ( Q ) I 2 ( Q ) ] 1 / 2 γ 12 cos [ α 12 ( τ ) - δ ] ,
γ 12 ( τ ) γ 12 ( 0 ) = μ 12 ,
α 12 ( τ ) α 12 ( 0 ) = α 12 .
μ 12 = exp ( i ψ ) σ I ( x 0 , y 0 ) exp [ - i k ( p x 0 + q y 0 ) ] d x 0 d y 0 σ I ( x 0 , y 0 ) d x 0 d y 0 ,
p = ξ 1 - ξ 2 r ,
q = η 1 - η 2 r ,
ψ = k ( ξ 1 2 + η 1 2 ) - ( ξ 2 2 + η 2 2 ) 2 R .
μ 12 = sin k a 0 ( η 1 - η 2 ) / r k a 0 ( η 1 - η 2 ) / r exp ( i ψ ) ,
μ 12 = exp { - [ k 2 ( η 1 - η 2 ) 2 / 4 g 2 r 2 - i ψ ] } .
d η , 0 = r π k a 0 .
d η , 1 / e ( μ 12 ) = ( - ln μ 12 4 g 2 r 2 k 2 ) 1 / 2 ,
d η , 1 / e ( μ 12 ) = ( - ln μ 12 ) 1 / 2 2 σ I .

Metrics