Abstract

We show that backward difference-frequency generation can be exploited to achieve phase conjugation in a second-order nonlinear medium. The backward configuration can be utilized to achieve broadband quasi-phase-matching, compared with the forward counterpart. Our calculation shows that a nonlinear reflectivity of close to 100% is achievable from a laser emitting an output power of 1mW. Such an efficient phase conjugator is made feasible by placing the nonlinear medium inside a pump laser cavity. In addition, a Fabry–Perot resonator at the input frequency is used to significantly improve the nonlinear reflectivity.

© 2012 Optical Society of America

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References

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    [CrossRef]
  2. For a review, see various chapters in R. A. Fisher, ed., Optical Phase Conjugation (Academic, 1983).
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    [CrossRef]
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    [CrossRef]
  5. M. Tsang and D. Psaltis, Opt. Commun. 242, 659 (2004).
    [CrossRef]
  6. Y. J. Ding and J. B. Khurgin, IEEE J. Quantum Electron. 32, 1574 (1996).
    [CrossRef]
  7. C. Canalias and V. Pasiskevicius, Nat. Photonics 1, 459 (2007).
    [CrossRef]
  8. A. Yariv, Quantum Electronics (Wiley, 1989), pp. 435–437 and pp. 498–506.
  9. L. A. Coldren and S. W. Corzine, Diode Lasers and Photonic Circuits (Wiley, 1995), p. 77.
  10. B. Zhang, Y. J. Ding, and I. B. Zotova, Appl. Phys. B 99, 629 (2010).
    [CrossRef]
  11. Y. Jiang, D. Li, Y. J. Ding, and I. B. Zotova, in Quantum Electronics and Laser Science Conference, OSA Technical Digest (CD) (Optical Society of America, 2011), paper JThB92.
  12. S. Stivala, A. Pasquazi, L. Colace, G. Assanto, A. C. Busacca, M. Cherchi, S. Riva-Sanseverino, A. C. Cino, and A. Parisi, J. Opt. Soc. Am. B 24, 1564 (2007).
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  13. X. D. Mu, H. Meissner, and H. C. Lee, Opt. Lett. 35, 387 (2010).
    [CrossRef]

2010 (2)

B. Zhang, Y. J. Ding, and I. B. Zotova, Appl. Phys. B 99, 629 (2010).
[CrossRef]

X. D. Mu, H. Meissner, and H. C. Lee, Opt. Lett. 35, 387 (2010).
[CrossRef]

2007 (2)

2004 (1)

M. Tsang and D. Psaltis, Opt. Commun. 242, 659 (2004).
[CrossRef]

2001 (1)

M. V. Vasil’ev, V. Yu. Venediktov, and A. A. Leshchev, Quantum Electron. 31, 1 (2001).
[CrossRef]

1996 (2)

Y. J. Ding, J. B. Khurgin, and S. J. Lee, Opt. Quantum Electron. 28, 1617 (1996).
[CrossRef]

Y. J. Ding and J. B. Khurgin, IEEE J. Quantum Electron. 32, 1574 (1996).
[CrossRef]

1987 (1)

Assanto, G.

Busacca, A. C.

Canalias, C.

C. Canalias and V. Pasiskevicius, Nat. Photonics 1, 459 (2007).
[CrossRef]

Cherchi, M.

Cino, A. C.

Colace, L.

Coldren, L. A.

L. A. Coldren and S. W. Corzine, Diode Lasers and Photonic Circuits (Wiley, 1995), p. 77.

Corzine, S. W.

L. A. Coldren and S. W. Corzine, Diode Lasers and Photonic Circuits (Wiley, 1995), p. 77.

Ding, Y. J.

B. Zhang, Y. J. Ding, and I. B. Zotova, Appl. Phys. B 99, 629 (2010).
[CrossRef]

Y. J. Ding and J. B. Khurgin, IEEE J. Quantum Electron. 32, 1574 (1996).
[CrossRef]

Y. J. Ding, J. B. Khurgin, and S. J. Lee, Opt. Quantum Electron. 28, 1617 (1996).
[CrossRef]

Y. Jiang, D. Li, Y. J. Ding, and I. B. Zotova, in Quantum Electronics and Laser Science Conference, OSA Technical Digest (CD) (Optical Society of America, 2011), paper JThB92.

Jiang, Y.

Y. Jiang, D. Li, Y. J. Ding, and I. B. Zotova, in Quantum Electronics and Laser Science Conference, OSA Technical Digest (CD) (Optical Society of America, 2011), paper JThB92.

Khurgin, J. B.

Y. J. Ding, J. B. Khurgin, and S. J. Lee, Opt. Quantum Electron. 28, 1617 (1996).
[CrossRef]

Y. J. Ding and J. B. Khurgin, IEEE J. Quantum Electron. 32, 1574 (1996).
[CrossRef]

Lee, H. C.

Lee, S. J.

Y. J. Ding, J. B. Khurgin, and S. J. Lee, Opt. Quantum Electron. 28, 1617 (1996).
[CrossRef]

Leshchev, A. A.

M. V. Vasil’ev, V. Yu. Venediktov, and A. A. Leshchev, Quantum Electron. 31, 1 (2001).
[CrossRef]

Li, D.

Y. Jiang, D. Li, Y. J. Ding, and I. B. Zotova, in Quantum Electronics and Laser Science Conference, OSA Technical Digest (CD) (Optical Society of America, 2011), paper JThB92.

Meissner, H.

Mu, X. D.

Parisi, A.

Pasiskevicius, V.

C. Canalias and V. Pasiskevicius, Nat. Photonics 1, 459 (2007).
[CrossRef]

Pasquazi, A.

Psaltis, D.

M. Tsang and D. Psaltis, Opt. Commun. 242, 659 (2004).
[CrossRef]

Riva-Sanseverino, S.

Stivala, S.

Tsang, M.

M. Tsang and D. Psaltis, Opt. Commun. 242, 659 (2004).
[CrossRef]

Vasil’ev, M. V.

M. V. Vasil’ev, V. Yu. Venediktov, and A. A. Leshchev, Quantum Electron. 31, 1 (2001).
[CrossRef]

Venediktov, V. Yu.

M. V. Vasil’ev, V. Yu. Venediktov, and A. A. Leshchev, Quantum Electron. 31, 1 (2001).
[CrossRef]

Yariv, A.

A. Yariv, Quantum Electronics (Wiley, 1989), pp. 435–437 and pp. 498–506.

Yeh, P.

Zhang, B.

B. Zhang, Y. J. Ding, and I. B. Zotova, Appl. Phys. B 99, 629 (2010).
[CrossRef]

Zotova, I. B.

B. Zhang, Y. J. Ding, and I. B. Zotova, Appl. Phys. B 99, 629 (2010).
[CrossRef]

Y. Jiang, D. Li, Y. J. Ding, and I. B. Zotova, in Quantum Electronics and Laser Science Conference, OSA Technical Digest (CD) (Optical Society of America, 2011), paper JThB92.

Appl. Opt. (1)

Appl. Phys. B (1)

B. Zhang, Y. J. Ding, and I. B. Zotova, Appl. Phys. B 99, 629 (2010).
[CrossRef]

IEEE J. Quantum Electron. (1)

Y. J. Ding and J. B. Khurgin, IEEE J. Quantum Electron. 32, 1574 (1996).
[CrossRef]

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

Nat. Photonics (1)

C. Canalias and V. Pasiskevicius, Nat. Photonics 1, 459 (2007).
[CrossRef]

Opt. Commun. (1)

M. Tsang and D. Psaltis, Opt. Commun. 242, 659 (2004).
[CrossRef]

Opt. Lett. (1)

Opt. Quantum Electron. (1)

Y. J. Ding, J. B. Khurgin, and S. J. Lee, Opt. Quantum Electron. 28, 1617 (1996).
[CrossRef]

Quantum Electron. (1)

M. V. Vasil’ev, V. Yu. Venediktov, and A. A. Leshchev, Quantum Electron. 31, 1 (2001).
[CrossRef]

Other (4)

For a review, see various chapters in R. A. Fisher, ed., Optical Phase Conjugation (Academic, 1983).

A. Yariv, Quantum Electronics (Wiley, 1989), pp. 435–437 and pp. 498–506.

L. A. Coldren and S. W. Corzine, Diode Lasers and Photonic Circuits (Wiley, 1995), p. 77.

Y. Jiang, D. Li, Y. J. Ding, and I. B. Zotova, in Quantum Electronics and Laser Science Conference, OSA Technical Digest (CD) (Optical Society of America, 2011), paper JThB92.

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Figures (4)

Fig. 1.
Fig. 1.

Configuration proposed for achieving phase conjugation.

Fig. 2.
Fig. 2.

Backward quasi-phase-matching diagrams in terms of wave vectors. These wave vectors satisfy Eq. (1), since each wave vector in (b) switches its direction relative to that in (a).

Fig. 3.
Fig. 3.

Poling period versus pump wavelength based on third (upper line) and fifth (lower line) orders of the nonlinear grating in periodically poled KTP.

Fig. 4.
Fig. 4.

Nonlinear reflectivity for phase conjugation versus pump power normalized by threshold for backward optical parametric oscillation, given by Eq. (7).

Equations (8)

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kpki+kpc=2πΛ,
dAi±dz=±iΓ(Apc)*Ap±,
dApc±dz=±iΓ(Ai)*Ap,
Apc+(0)=Apc(L)=0,
Ai+(0)=Ai0+R1Ai(0);Ai(L)=R2Ai+(L),
Apc(0)=iexp(iφp+)I^p(1I^p)1RAi0*,
Ith=λiλpcninpcnp(1R)m232η0d332L2,
Rpc=I^p(I^p1)2(1R).

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