Abstract

Using the grating-action method, we determine the threshold coupling strengths of three generic examples of phase-conjugate mirrors with two interaction regions: the cat conjugator, the mutually incoherent beam coupler, and the interconnected ring mirror.

© 1998 Optical Society of America

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References

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  1. J. Feinberg, Opt. Lett. 7, 486 (1982).
    [CrossRef] [PubMed]
  2. K. R. MacDonald and J. Feinberg, J. Opt. Soc. Am. 73, 548 (1983).
    [CrossRef]
  3. M. Cronin-Golomb, B. Fischer, J. O. White, and A. Yariv, IEEE J. Quantum Electron. QE-20, 12 (1984).
    [CrossRef]
  4. M. Beli?, M. Petrovic, and F. Kaiser, Opt. Commun. 123, 657 (1996).
    [CrossRef]
  5. D. Engin, S. Orlov, M. Segev, G. Valley, and A. Yariv, Phys. Rev. Lett. 74, 1743 (1995).
    [CrossRef] [PubMed]
  6. M. Cronin-Golomb, Opt. Lett. 15, 897 (1990).
    [CrossRef] [PubMed]
  7. In this case numerical analysis reveals that um??0.747 and um?0.419. The threshold couplings are ?th??2.90 and ?th?1.58, so the device threshold is ?th?+?th?4.48. The reflectivity R at the threshold is ?0.255.
  8. M. D. Ewbank, R. A. Vasquez, R. R. Neurgaonkar, and J. Feinberg, J. Opt. Soc. Am. B 7, 2306 (1990).
    [CrossRef]
  9. A. A. Zozulya and A. V. Mamaev, Sov. Phys. JETP Lett. 49, 553 (1989).

1996 (1)

M. Beli?, M. Petrovic, and F. Kaiser, Opt. Commun. 123, 657 (1996).
[CrossRef]

1995 (1)

D. Engin, S. Orlov, M. Segev, G. Valley, and A. Yariv, Phys. Rev. Lett. 74, 1743 (1995).
[CrossRef] [PubMed]

1990 (2)

1989 (1)

A. A. Zozulya and A. V. Mamaev, Sov. Phys. JETP Lett. 49, 553 (1989).

1984 (1)

M. Cronin-Golomb, B. Fischer, J. O. White, and A. Yariv, IEEE J. Quantum Electron. QE-20, 12 (1984).
[CrossRef]

1983 (1)

1982 (1)

Belic, M.

M. Beli?, M. Petrovic, and F. Kaiser, Opt. Commun. 123, 657 (1996).
[CrossRef]

Cronin-Golomb, M.

M. Cronin-Golomb, Opt. Lett. 15, 897 (1990).
[CrossRef] [PubMed]

M. Cronin-Golomb, B. Fischer, J. O. White, and A. Yariv, IEEE J. Quantum Electron. QE-20, 12 (1984).
[CrossRef]

Engin, D.

D. Engin, S. Orlov, M. Segev, G. Valley, and A. Yariv, Phys. Rev. Lett. 74, 1743 (1995).
[CrossRef] [PubMed]

Ewbank, M. D.

Feinberg, J.

Fischer, B.

M. Cronin-Golomb, B. Fischer, J. O. White, and A. Yariv, IEEE J. Quantum Electron. QE-20, 12 (1984).
[CrossRef]

Kaiser, F.

M. Beli?, M. Petrovic, and F. Kaiser, Opt. Commun. 123, 657 (1996).
[CrossRef]

MacDonald, K. R.

Mamaev, A. V.

A. A. Zozulya and A. V. Mamaev, Sov. Phys. JETP Lett. 49, 553 (1989).

Neurgaonkar, R. R.

Orlov, S.

D. Engin, S. Orlov, M. Segev, G. Valley, and A. Yariv, Phys. Rev. Lett. 74, 1743 (1995).
[CrossRef] [PubMed]

Petrovic, M.

M. Beli?, M. Petrovic, and F. Kaiser, Opt. Commun. 123, 657 (1996).
[CrossRef]

Segev, M.

D. Engin, S. Orlov, M. Segev, G. Valley, and A. Yariv, Phys. Rev. Lett. 74, 1743 (1995).
[CrossRef] [PubMed]

Valley, G.

D. Engin, S. Orlov, M. Segev, G. Valley, and A. Yariv, Phys. Rev. Lett. 74, 1743 (1995).
[CrossRef] [PubMed]

Vasquez, R. A.

White, J. O.

M. Cronin-Golomb, B. Fischer, J. O. White, and A. Yariv, IEEE J. Quantum Electron. QE-20, 12 (1984).
[CrossRef]

Yariv, A.

D. Engin, S. Orlov, M. Segev, G. Valley, and A. Yariv, Phys. Rev. Lett. 74, 1743 (1995).
[CrossRef] [PubMed]

M. Cronin-Golomb, B. Fischer, J. O. White, and A. Yariv, IEEE J. Quantum Electron. QE-20, 12 (1984).
[CrossRef]

Zozulya, A. A.

A. A. Zozulya and A. V. Mamaev, Sov. Phys. JETP Lett. 49, 553 (1989).

IEEE J. Quantum Electron. (1)

M. Cronin-Golomb, B. Fischer, J. O. White, and A. Yariv, IEEE J. Quantum Electron. QE-20, 12 (1984).
[CrossRef]

J. Opt. Soc. Am. (1)

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

Opt. Commun. (1)

M. Beli?, M. Petrovic, and F. Kaiser, Opt. Commun. 123, 657 (1996).
[CrossRef]

Opt. Lett. (2)

Phys. Rev. Lett. (1)

D. Engin, S. Orlov, M. Segev, G. Valley, and A. Yariv, Phys. Rev. Lett. 74, 1743 (1995).
[CrossRef] [PubMed]

Sov. Phys. JETP Lett. (1)

A. A. Zozulya and A. V. Mamaev, Sov. Phys. JETP Lett. 49, 553 (1989).

Other (1)

In this case numerical analysis reveals that um??0.747 and um?0.419. The threshold couplings are ?th??2.90 and ?th?1.58, so the device threshold is ?th?+?th?4.48. The reflectivity R at the threshold is ?0.255.

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Figures (3)

Fig. 1
Fig. 1

(a) Cat PCM. (b) Mutually incoherent beam coupler. (c) Interconnected ring mirror.

Fig. 2
Fig. 2

(a) Reflectivity as a function of the coupling strength Γ for different Γ. The dashed portions of the curves are unstable. (b) Threshold coupling curves for different t. The point indicated on the diagonal line is the threshold point determined by MacDonald and Feinberg. The other point is the threshold determined by us.

Fig. 3
Fig. 3

Reflectivity as a function of an asymmetry parameter for different total coupling strengths. The dashed portions of the closed curves are unstable. Note the asymmetry of the curves.

Equations (13)

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A1dA4d=TuA10A40, A30A20=TuA3dA2d,
Tu=cosusinu-sinucosu
u=1d0dΓQIdz.
A10A¯40+A¯2dA3d+c.c.cotu-I10+I2d-I3d+I40=aI cothaΓ/2,
a2I2=4Q2+F2,
a cothaΓ/2-1=0,
cosu=1+t2+1-t2cos2u2tsin2u×1-a21/2
a cothaΓ/2-1=tsinu1-a21/2,
cos2u=1+t2sin2u2tsinu1-a21/2,
cosu=q2+sin2u2qsinu1-a21/2,
a cothaΓ/2-1=1-a21/2,
cosu+u=1+q22q1-a21/2,
Γth+Γth=q2+1q2-1lnq2.

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