Abstract

We present a compact experimental realization of the interaction among five field modes in a χ2 nonlinear crystal. The classical evolution of the fields can be analytically described assuming that two of the fields play the role of nondepleted pumps. A peculiar behavior appears that has been experimentally verified. If one of the fields has a nonzero input amplitude, then the other two fields at the output are holographic replicas of the input signal.

© 2004 Optical Society of America

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Corrections

Maria Bondani, Alessia Allevi, Emiliano Puddu, Alessandra Andreoni, Alessandro Ferraro, and Matteo G. A. Paris, "Properties of two interlinked χ(2) interactions in noncollinear phase matching: erratum," Opt. Lett. 29, 1417-1417 (2004)
https://www.osapublishing.org/ol/abstract.cfm?uri=ol-29-12-1417

References

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  1. T. Kartaloğlu, Z. G. Figen, and O. Aytür, J. Opt. Soc. Am. 20, 343 (2003), and references therein.
  2. J. Zhang, C. Xie, and K. Peng, Phys. Rev. A 66, 032318 (2002).
    [CrossRef]
  3. R. L. Byer, J. Nonlinear Opt. Phys. Mater. 6, 549 (1997).
    [CrossRef]
  4. J.-J. Zondy, A. Douillet, A. Tallet, E. Ressayre, and M. Le Berre, Phys. Rev. A 63, 023814 (2001).
    [CrossRef]
  5. A. Ferraro, M. G. A. Paris, A. Allevi, A. Andreoni, M. Bondani, and E. Puddu, arXiv.org e-Print archive, , June16, 2003, http://arXiv.org/abs/quant-ph/0306109 .
  6. A fully noncollinear analytical solution of the system can be found. For the experimental parameters in this Letter the differences with the collinear solution are minimal.
  7. B. E. A. Saleh and C. M. Tech, Fundamentals of Photonics (Wiley, New York, 1991), p. 764.
  8. M. Bondani and A. Andreoni, Phys. Rev. A 66, 033805 (2002).
    [CrossRef]
  9. M. Bondani, A. Allevi, and A. Andreoni, J. Opt. Soc. Am. B 20, 1 (2003).
    [CrossRef]

2003 (2)

2002 (2)

J. Zhang, C. Xie, and K. Peng, Phys. Rev. A 66, 032318 (2002).
[CrossRef]

M. Bondani and A. Andreoni, Phys. Rev. A 66, 033805 (2002).
[CrossRef]

2001 (1)

J.-J. Zondy, A. Douillet, A. Tallet, E. Ressayre, and M. Le Berre, Phys. Rev. A 63, 023814 (2001).
[CrossRef]

1997 (1)

R. L. Byer, J. Nonlinear Opt. Phys. Mater. 6, 549 (1997).
[CrossRef]

Allevi, A.

M. Bondani, A. Allevi, and A. Andreoni, J. Opt. Soc. Am. B 20, 1 (2003).
[CrossRef]

A. Ferraro, M. G. A. Paris, A. Allevi, A. Andreoni, M. Bondani, and E. Puddu, arXiv.org e-Print archive, , June16, 2003, http://arXiv.org/abs/quant-ph/0306109 .

Andreoni, A.

M. Bondani, A. Allevi, and A. Andreoni, J. Opt. Soc. Am. B 20, 1 (2003).
[CrossRef]

M. Bondani and A. Andreoni, Phys. Rev. A 66, 033805 (2002).
[CrossRef]

A. Ferraro, M. G. A. Paris, A. Allevi, A. Andreoni, M. Bondani, and E. Puddu, arXiv.org e-Print archive, , June16, 2003, http://arXiv.org/abs/quant-ph/0306109 .

Aytür, O.

Bondani, M.

M. Bondani, A. Allevi, and A. Andreoni, J. Opt. Soc. Am. B 20, 1 (2003).
[CrossRef]

M. Bondani and A. Andreoni, Phys. Rev. A 66, 033805 (2002).
[CrossRef]

A. Ferraro, M. G. A. Paris, A. Allevi, A. Andreoni, M. Bondani, and E. Puddu, arXiv.org e-Print archive, , June16, 2003, http://arXiv.org/abs/quant-ph/0306109 .

Byer, R. L.

R. L. Byer, J. Nonlinear Opt. Phys. Mater. 6, 549 (1997).
[CrossRef]

Douillet, A.

J.-J. Zondy, A. Douillet, A. Tallet, E. Ressayre, and M. Le Berre, Phys. Rev. A 63, 023814 (2001).
[CrossRef]

Ferraro, A.

A. Ferraro, M. G. A. Paris, A. Allevi, A. Andreoni, M. Bondani, and E. Puddu, arXiv.org e-Print archive, , June16, 2003, http://arXiv.org/abs/quant-ph/0306109 .

Figen, Z. G.

Kartaloglu, T.

Le Berre, M.

J.-J. Zondy, A. Douillet, A. Tallet, E. Ressayre, and M. Le Berre, Phys. Rev. A 63, 023814 (2001).
[CrossRef]

Paris, M. G. A.

A. Ferraro, M. G. A. Paris, A. Allevi, A. Andreoni, M. Bondani, and E. Puddu, arXiv.org e-Print archive, , June16, 2003, http://arXiv.org/abs/quant-ph/0306109 .

Peng, K.

J. Zhang, C. Xie, and K. Peng, Phys. Rev. A 66, 032318 (2002).
[CrossRef]

Puddu, E.

A. Ferraro, M. G. A. Paris, A. Allevi, A. Andreoni, M. Bondani, and E. Puddu, arXiv.org e-Print archive, , June16, 2003, http://arXiv.org/abs/quant-ph/0306109 .

Ressayre, E.

J.-J. Zondy, A. Douillet, A. Tallet, E. Ressayre, and M. Le Berre, Phys. Rev. A 63, 023814 (2001).
[CrossRef]

Saleh, B. E. A.

B. E. A. Saleh and C. M. Tech, Fundamentals of Photonics (Wiley, New York, 1991), p. 764.

Tallet, A.

J.-J. Zondy, A. Douillet, A. Tallet, E. Ressayre, and M. Le Berre, Phys. Rev. A 63, 023814 (2001).
[CrossRef]

Tech, C. M.

B. E. A. Saleh and C. M. Tech, Fundamentals of Photonics (Wiley, New York, 1991), p. 764.

Xie, C.

J. Zhang, C. Xie, and K. Peng, Phys. Rev. A 66, 032318 (2002).
[CrossRef]

Zhang, J.

J. Zhang, C. Xie, and K. Peng, Phys. Rev. A 66, 032318 (2002).
[CrossRef]

Zondy, J.-J.

J.-J. Zondy, A. Douillet, A. Tallet, E. Ressayre, and M. Le Berre, Phys. Rev. A 63, 023814 (2001).
[CrossRef]

J. Nonlinear Opt. Phys. Mater. (1)

R. L. Byer, J. Nonlinear Opt. Phys. Mater. 6, 549 (1997).
[CrossRef]

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. B (1)

Phys. Rev. A (3)

J. Zhang, C. Xie, and K. Peng, Phys. Rev. A 66, 032318 (2002).
[CrossRef]

M. Bondani and A. Andreoni, Phys. Rev. A 66, 033805 (2002).
[CrossRef]

J.-J. Zondy, A. Douillet, A. Tallet, E. Ressayre, and M. Le Berre, Phys. Rev. A 63, 023814 (2001).
[CrossRef]

Other (3)

A. Ferraro, M. G. A. Paris, A. Allevi, A. Andreoni, M. Bondani, and E. Puddu, arXiv.org e-Print archive, , June16, 2003, http://arXiv.org/abs/quant-ph/0306109 .

A fully noncollinear analytical solution of the system can be found. For the experimental parameters in this Letter the differences with the collinear solution are minimal.

B. E. A. Saleh and C. M. Tech, Fundamentals of Photonics (Wiley, New York, 1991), p. 764.

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Figures (4)

Fig. 1
Fig. 1

Schematic diagram of the interaction scheme.

Fig. 2
Fig. 2

(a) Experimental setup for verification of the holographic properties of the generated fields. HS, harmonic separator; O, object; O and O, the reconstructed real holographic images at ω3 and ω2, respectively. (b) Holographic image at ω3. (c) Holographic image at ω2.

Fig. 3
Fig. 3

Schemes of the experimental setups in (a) case 1 and (b) case 2. λ/2, half-wave plate; Pj, thin-film plate polarizers; Dj, energy detectors.

Fig. 4
Fig. 4

(a) Measured (open circles) and calculated [from Eq. (3), filled circles] energy at ω2 (case 1, see text) as a function of the measured energy of the pump at ω5. (b) Same as (a) but for case 2 (see text).

Equations (3)

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

da1/dz=-ig1a3*, da2/dz=-ig2a3, da3/dz=-ig1a1*-ig2*a2,
a1z=-1Γ2g12cosΓz-g22a10-g1g2Γ2cosΓz-1a2*0+g1ΓsinΓza3*0,a2z=g1g2Γ2cosΓz-1a1*0-1Γ2g12-g22cosΓza20-g2ΓsinΓza30,a3z=g1*ΓsinΓza1*0+g2ΓsinΓza20+cosΓza30,
E2=ω2ω1E1αE4βE5cosβE5-αE41/2z-12βE5-αE42,

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