Abstract

We demonstrate self-phase locking in a type II phase-matched optical parametric oscillator by mutual injection locking. An intracavity quarter-wave plate provides polarization mixing between the orthogonally polarized signal and idler that induces signal–idler self-phase locking when their frequency difference is within the capture range. We observed two distinct phase states that differ in their oscillator thresholds and their signal–idler phase differences, in good agreement with theory.

© 1998 Optical Society of America

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References

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  1. A. Heidmann, R. J. Horowiez, E. Giacobino, C. Fabre, and G. Camy, Phys. Rev. Lett. 59, 2555 (1987); K. W. Leong, N. C. Wong, and J. H. Shapiro, Opt. Lett. 15, 1058 (1990).
    [CrossRef] [PubMed]
  2. C. D. Nabors, S. T. Yang, T. Day, and R. L. Byer, J. Opt. Soc. Am. B 7, 815 (1990).
    [CrossRef]
  3. D. Lee and N. C. Wong, Opt. Lett. 17, 13 (1992); J. Opt. Soc. Am. B 10, 1659 (1993).
    [CrossRef] [PubMed]
  4. T. Ikegami, S. Slyusarev, S. Ohshima, and E. Sakuma, Opt. Commun. 127, 69 (1996).
    [CrossRef]
  5. R. Graham and H. Haken, Z. Phys. 210, 276 (1968).
    [CrossRef]
  6. D. Lee and N. C. Wong, in Coherence and Quantum Optics VII, J. H. Eberly, L. Mandel, and E. Wolf, eds. (Plenum, New York, 1996), p. 423.
    [CrossRef]
  7. N. C. Wong, Phys. Rev. A 45, 3176 (1992); Appl. Phys. B 61, 143 (1995).
    [CrossRef] [PubMed]
  8. C. Fabre, Université Pierre et Marie Curie, Paris (personal communication).
  9. M. D. Reid and P. D. Drummond, Phys. Rev. Lett. 60, 2731 (1988).
    [CrossRef] [PubMed]
  10. P. D. Drummond and P. Kinsler, Phys. Rev. A 40, 4813 (1989).
    [CrossRef] [PubMed]

1996 (1)

T. Ikegami, S. Slyusarev, S. Ohshima, and E. Sakuma, Opt. Commun. 127, 69 (1996).
[CrossRef]

1992 (2)

1990 (1)

1989 (1)

P. D. Drummond and P. Kinsler, Phys. Rev. A 40, 4813 (1989).
[CrossRef] [PubMed]

1988 (1)

M. D. Reid and P. D. Drummond, Phys. Rev. Lett. 60, 2731 (1988).
[CrossRef] [PubMed]

1987 (1)

A. Heidmann, R. J. Horowiez, E. Giacobino, C. Fabre, and G. Camy, Phys. Rev. Lett. 59, 2555 (1987); K. W. Leong, N. C. Wong, and J. H. Shapiro, Opt. Lett. 15, 1058 (1990).
[CrossRef] [PubMed]

1968 (1)

R. Graham and H. Haken, Z. Phys. 210, 276 (1968).
[CrossRef]

Byer, R. L.

Camy, G.

A. Heidmann, R. J. Horowiez, E. Giacobino, C. Fabre, and G. Camy, Phys. Rev. Lett. 59, 2555 (1987); K. W. Leong, N. C. Wong, and J. H. Shapiro, Opt. Lett. 15, 1058 (1990).
[CrossRef] [PubMed]

Day, T.

Drummond, P. D.

P. D. Drummond and P. Kinsler, Phys. Rev. A 40, 4813 (1989).
[CrossRef] [PubMed]

M. D. Reid and P. D. Drummond, Phys. Rev. Lett. 60, 2731 (1988).
[CrossRef] [PubMed]

Fabre, C.

A. Heidmann, R. J. Horowiez, E. Giacobino, C. Fabre, and G. Camy, Phys. Rev. Lett. 59, 2555 (1987); K. W. Leong, N. C. Wong, and J. H. Shapiro, Opt. Lett. 15, 1058 (1990).
[CrossRef] [PubMed]

C. Fabre, Université Pierre et Marie Curie, Paris (personal communication).

Giacobino, E.

A. Heidmann, R. J. Horowiez, E. Giacobino, C. Fabre, and G. Camy, Phys. Rev. Lett. 59, 2555 (1987); K. W. Leong, N. C. Wong, and J. H. Shapiro, Opt. Lett. 15, 1058 (1990).
[CrossRef] [PubMed]

Graham, R.

R. Graham and H. Haken, Z. Phys. 210, 276 (1968).
[CrossRef]

Haken, H.

R. Graham and H. Haken, Z. Phys. 210, 276 (1968).
[CrossRef]

Heidmann, A.

A. Heidmann, R. J. Horowiez, E. Giacobino, C. Fabre, and G. Camy, Phys. Rev. Lett. 59, 2555 (1987); K. W. Leong, N. C. Wong, and J. H. Shapiro, Opt. Lett. 15, 1058 (1990).
[CrossRef] [PubMed]

Horowiez, R. J.

A. Heidmann, R. J. Horowiez, E. Giacobino, C. Fabre, and G. Camy, Phys. Rev. Lett. 59, 2555 (1987); K. W. Leong, N. C. Wong, and J. H. Shapiro, Opt. Lett. 15, 1058 (1990).
[CrossRef] [PubMed]

Ikegami, T.

T. Ikegami, S. Slyusarev, S. Ohshima, and E. Sakuma, Opt. Commun. 127, 69 (1996).
[CrossRef]

Kinsler, P.

P. D. Drummond and P. Kinsler, Phys. Rev. A 40, 4813 (1989).
[CrossRef] [PubMed]

Lee, D.

D. Lee and N. C. Wong, Opt. Lett. 17, 13 (1992); J. Opt. Soc. Am. B 10, 1659 (1993).
[CrossRef] [PubMed]

D. Lee and N. C. Wong, in Coherence and Quantum Optics VII, J. H. Eberly, L. Mandel, and E. Wolf, eds. (Plenum, New York, 1996), p. 423.
[CrossRef]

Nabors, C. D.

Ohshima, S.

T. Ikegami, S. Slyusarev, S. Ohshima, and E. Sakuma, Opt. Commun. 127, 69 (1996).
[CrossRef]

Reid, M. D.

M. D. Reid and P. D. Drummond, Phys. Rev. Lett. 60, 2731 (1988).
[CrossRef] [PubMed]

Sakuma, E.

T. Ikegami, S. Slyusarev, S. Ohshima, and E. Sakuma, Opt. Commun. 127, 69 (1996).
[CrossRef]

Slyusarev, S.

T. Ikegami, S. Slyusarev, S. Ohshima, and E. Sakuma, Opt. Commun. 127, 69 (1996).
[CrossRef]

Wong, N. C.

D. Lee and N. C. Wong, Opt. Lett. 17, 13 (1992); J. Opt. Soc. Am. B 10, 1659 (1993).
[CrossRef] [PubMed]

N. C. Wong, Phys. Rev. A 45, 3176 (1992); Appl. Phys. B 61, 143 (1995).
[CrossRef] [PubMed]

D. Lee and N. C. Wong, in Coherence and Quantum Optics VII, J. H. Eberly, L. Mandel, and E. Wolf, eds. (Plenum, New York, 1996), p. 423.
[CrossRef]

Yang, S. T.

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

Opt. Commun. (1)

T. Ikegami, S. Slyusarev, S. Ohshima, and E. Sakuma, Opt. Commun. 127, 69 (1996).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. A (2)

N. C. Wong, Phys. Rev. A 45, 3176 (1992); Appl. Phys. B 61, 143 (1995).
[CrossRef] [PubMed]

P. D. Drummond and P. Kinsler, Phys. Rev. A 40, 4813 (1989).
[CrossRef] [PubMed]

Phys. Rev. Lett. (2)

A. Heidmann, R. J. Horowiez, E. Giacobino, C. Fabre, and G. Camy, Phys. Rev. Lett. 59, 2555 (1987); K. W. Leong, N. C. Wong, and J. H. Shapiro, Opt. Lett. 15, 1058 (1990).
[CrossRef] [PubMed]

M. D. Reid and P. D. Drummond, Phys. Rev. Lett. 60, 2731 (1988).
[CrossRef] [PubMed]

Z. Phys. (1)

R. Graham and H. Haken, Z. Phys. 210, 276 (1968).
[CrossRef]

Other (2)

D. Lee and N. C. Wong, in Coherence and Quantum Optics VII, J. H. Eberly, L. Mandel, and E. Wolf, eds. (Plenum, New York, 1996), p. 423.
[CrossRef]

C. Fabre, Université Pierre et Marie Curie, Paris (personal communication).

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Figures (3)

Fig. 1
Fig. 1

Schematic of the experimental setup. SHG, second-harmonic generator; PZT, piezoelectric transducer. See text for other definitions.

Fig. 2
Fig. 2

LO–signal interference under self-phase-locked conditions ψq=2°, ψh=0° for (a) the p state, (b) the p state with a π phase shift in both ϕ1 and ϕ2, and (c) the n state.

Fig. 3
Fig. 3

Outputs at detectors D1 and D2 ψq=1°, ψh=103°. At ψh=103° the D1 interference of the p state was maximized.

Equations (6)

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κ1-iΔ1r1 expiϕ1=χr2 exp-iϕ2+r2 expiϕ2,
κ2-iΔ2r2 expiϕ2=χr1 exp-iϕ1-*r1 expiϕ1,
Δ1r12=Δ2r22,
χ2p,n=κ1κ2+Δ1Δ2+02-20Δ1Δ2/Δ1sinϕdp,n-θ,
ϕdp,n=θ±arccosΔ2/Δ1κ1-Δ1/Δ2κ2/20,
Δ2/Δ1κ1-Δ1/Δ2κ220.

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