Abstract

Noncollinear emission occurs in a free running type I parametric oscillator beyond the theoretical tuning curve for collinear oscillation. The noncollinear emission is described in terms of the emission angle and the corresponding angle of divergence. Experimentally recorded single captures of the transverse profile for the noncollinear regime are presented. A theoretical description of the degenerate tuning is described to explain the noncollinear regime.

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References

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  1. L. A. W. Gloster, Z. X. Jiang, and T. A. King, "Characterisation of a Nd:YAG Pumped � -BaB2O4 Optical Parametric Oscillator in Collinear and Noncollinear phase matched configurations," Quant. Elect. 30, 2961- 2969 (1994).
    [CrossRef]
  2. V. G. Dmitriev, G. G. Gurzadayan, D. N. Nikogosyan, "Handbook of nonlinear optic crystals," Springer-Verlag, (1991).
  3. V. Krylov, A. Kalintsev, A. Rebane, D. Erni and Urs P. Wild, "Noncollinear parametric generation in LiIO3 and �-barium borate by frequency-doubled femtosecond Ti:sapphire laser pulses," Opt. Lett. 20, 151-153 (1995).
    [CrossRef] [PubMed]
  4. A. Gatti, L. A. Lugiato, G-L. Oppo, R. Martin, P. Di Trappani and A. Berzanskis, "From quantum to classical images," Opt. Express 1, 21-30 (1997), http://www.opticsexpress.org/oearchive/source/1986.htm.
    [CrossRef] [PubMed]
  5. A. Berzanskis, W. Chinaglia, L. A. Lugiato, K. H. Feller and P. Di Trapani, "Spatial structures in optical parametric amplification," Phys. Rev. A 60, 1626-1635 (1999).
    [CrossRef]
  6. B. M. Jost, A. V. Sergienko, A. F. Arbouraddy, B. E. A. Saleh and M. C. Teich, "Spatial correlation of spontaneously down-converted photon pairs detected with a single-photon-sensitive CCD camera," Opt. Express 3, 81-88 (1998), http://www.opticsexpress.org/oearchive/source/4652.htm.
    [CrossRef] [PubMed]
  7. G-L. Oppo, M. Brambilla, L. A. Lugiato, "Formation and evolution of roll patterns in optical parametric oscillators," Phys. Rev. A 49, 2028-2032 (1994).
    [CrossRef] [PubMed]

Other (7)

L. A. W. Gloster, Z. X. Jiang, and T. A. King, "Characterisation of a Nd:YAG Pumped � -BaB2O4 Optical Parametric Oscillator in Collinear and Noncollinear phase matched configurations," Quant. Elect. 30, 2961- 2969 (1994).
[CrossRef]

V. G. Dmitriev, G. G. Gurzadayan, D. N. Nikogosyan, "Handbook of nonlinear optic crystals," Springer-Verlag, (1991).

V. Krylov, A. Kalintsev, A. Rebane, D. Erni and Urs P. Wild, "Noncollinear parametric generation in LiIO3 and �-barium borate by frequency-doubled femtosecond Ti:sapphire laser pulses," Opt. Lett. 20, 151-153 (1995).
[CrossRef] [PubMed]

A. Gatti, L. A. Lugiato, G-L. Oppo, R. Martin, P. Di Trappani and A. Berzanskis, "From quantum to classical images," Opt. Express 1, 21-30 (1997), http://www.opticsexpress.org/oearchive/source/1986.htm.
[CrossRef] [PubMed]

A. Berzanskis, W. Chinaglia, L. A. Lugiato, K. H. Feller and P. Di Trapani, "Spatial structures in optical parametric amplification," Phys. Rev. A 60, 1626-1635 (1999).
[CrossRef]

B. M. Jost, A. V. Sergienko, A. F. Arbouraddy, B. E. A. Saleh and M. C. Teich, "Spatial correlation of spontaneously down-converted photon pairs detected with a single-photon-sensitive CCD camera," Opt. Express 3, 81-88 (1998), http://www.opticsexpress.org/oearchive/source/4652.htm.
[CrossRef] [PubMed]

G-L. Oppo, M. Brambilla, L. A. Lugiato, "Formation and evolution of roll patterns in optical parametric oscillators," Phys. Rev. A 49, 2028-2032 (1994).
[CrossRef] [PubMed]

Supplementary Material (1)

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Figures (7)

Fig. 1.
Fig. 1.

Collinear tuning curve. Experimental data points and the theoretical tuning curve [1] for comparison. The Sellmeier data used was from [2].

Fig. 2.
Fig. 2.

The OPO cavity consists of a high reflector which allows for pump input coupling and a partial reflector as the output coupler. A screen was used to view the output profile from the oscillator to measure the emission angle and divergence. The distance between the screen and the exit face of the crystal was 500 mm.

Figure 3.
Figure 3.

Near degenerate tuning. The black crosses (+) represent degenerate noncollinear phase matching. The collapse of the signal/idler wavelengths to degeneracy can be demonstrated for the signal/idler pairs represented by the square symbol (1). The signal at 687 nm and idler at 734 nm (θ=33.12° to 2 significant figures) converge to degeneracy for θ=33.14° and beyond. The theoretical noncollinear tuning curves for 10 (- -) and 20 (......) mrad noncollinearity are also presented to show the effect that for increasingly noncollinear interaction geometries the corresponding degenerate phase matching angles also increase (i.e. the tuning curves move from left to right on the figure). The noncollinear tuning curves were calculated using Eq. (1), Eq. (2) and the Sellmeier data used in Fig. 1.

Fig. 4.
Fig. 4.

Internal emission angle for the degenerate noncollinear interaction. The theoretical prediction (solid line) was determined using Eq. (1) and Eq. (2) with ωsi and the Sellmeier data used in Fig. 1. The data presented in this figure has been corrected for the systematic alignment error in Fig 3.

Fig. 5.
Fig. 5.

Experimental angle of divergence. The data presented in this figure has been corrected for the systematic alignment error in Fig. 3.

Fig. 6.
Fig. 6.

Single shot profiles of the transverse structure of the degenerate noncollinear interaction at the corresponding phase matching angles. All the profiles were highly attenuated to protect the CCD element. The figures are scaled in millimetres.

Fig. 7.
Fig. 7.

Movie of the noncollinear emission starting from the collinear region (2.41 MB).

Equations (2)

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ω p ω s ω i = 0
( n p λ p ) 2 + ( n s λ s ) 2 ( n i λ i ) 2 2 · ( n p · n s λ p · λ s ) · cos ( α ) = 0

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