Abstract

Based on the recent breakthroughs in oxidized AlGaAs technology, a considerable improvement in IR generation through merging of optical amplification and three-wave mixing is predicted. Amplification of one of the two input fields is shown to strongly relax the phase-matching condition for difference-frequency generation in AlGaAs waveguides. This effect is potentially crucial for the realization of an integrated semiconductor optical parametric oscillator.

© 1998 Optical Society of America

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  1. J. Faist, F. Capasso, D. L. Sivco, C. Sirtori, A. L. Hutchinson, and A. Y. Cho, Science 264, 553 (1994).
    [CrossRef] [PubMed]
  2. For a review on cw OPO’s see C. Fabre, P. F. Cohadon, and C. Schwob, Quantum Semiclass. Opt. 9, 165 (1997).
    [CrossRef]
  3. K. Schneider, P. Kramper, P. de Natale, M. Inguscio, S. Schiller, and J. Mlynek, in Conference on Lasers and Electro-Optics, Vol. 9 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), p. 44.
  4. G. M. Gibson, M. H. Dunn, and M. J. Padgett, in Conference on Lasers and Electro-Optics, Vol. 9 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), p. 45.
  5. D. F. Walls and G. J. Milburn, Quantum Optics (Springer-Verlag, Berlin, 1994).
    [CrossRef]
  6. M. L. Bortz, M. A. Arbore, and M. M. Fejer, Opt. Lett. 20, 49 (1995).
    [CrossRef] [PubMed]
  7. M. A. Arbore and M. M. Fejer, Opt. Lett. 22, 151 (1997).
    [CrossRef] [PubMed]
  8. A. Fiore, V. Berger, E. Rosencher, P. Bravetti, and J. Nagle, Nature (London) 391, 463 (1998).
    [CrossRef]
  9. S. J. B. Yoo, C. Caneau, R. Bhat, M. A. Koza, A. Rajhel, and N. Antoniades, Appl. Phys. Lett. 68, 2609 (1996).
    [CrossRef]
  10. J. Khurgin, E. Rosencher, and Y. J. Ding, J. Opt. Soc. Am. B 15, 1726 (1998).
    [CrossRef]
  11. R. L. Sutherland, Handbook of Nonlinear Optics (Marcel Dekker, New York, 1996).
  12. I. Shoji, T. Kondo, A. Kitamoto, M. Shirane, and R. Ito, J. Opt. Soc. Am. B 14, 2268 (1997).
    [CrossRef]
  13. See, for example, E. Rosencher and B. Vinter, Optoelectronique (Masson, Paris, 1998).
  14. A. Fiore, “Conversion de fréquences optiques dans les hétérostructures GaAs/AlGaAs,” Ph.D. dissertation 4819 (University of Paris-XI, Paris, 1997), p. 108.

1998 (2)

A. Fiore, V. Berger, E. Rosencher, P. Bravetti, and J. Nagle, Nature (London) 391, 463 (1998).
[CrossRef]

J. Khurgin, E. Rosencher, and Y. J. Ding, J. Opt. Soc. Am. B 15, 1726 (1998).
[CrossRef]

1997 (3)

1996 (1)

S. J. B. Yoo, C. Caneau, R. Bhat, M. A. Koza, A. Rajhel, and N. Antoniades, Appl. Phys. Lett. 68, 2609 (1996).
[CrossRef]

1995 (1)

1994 (1)

J. Faist, F. Capasso, D. L. Sivco, C. Sirtori, A. L. Hutchinson, and A. Y. Cho, Science 264, 553 (1994).
[CrossRef] [PubMed]

Antoniades, N.

S. J. B. Yoo, C. Caneau, R. Bhat, M. A. Koza, A. Rajhel, and N. Antoniades, Appl. Phys. Lett. 68, 2609 (1996).
[CrossRef]

Arbore, M. A.

Berger, V.

A. Fiore, V. Berger, E. Rosencher, P. Bravetti, and J. Nagle, Nature (London) 391, 463 (1998).
[CrossRef]

Bhat, R.

S. J. B. Yoo, C. Caneau, R. Bhat, M. A. Koza, A. Rajhel, and N. Antoniades, Appl. Phys. Lett. 68, 2609 (1996).
[CrossRef]

Bortz, M. L.

Bravetti, P.

A. Fiore, V. Berger, E. Rosencher, P. Bravetti, and J. Nagle, Nature (London) 391, 463 (1998).
[CrossRef]

Caneau, C.

S. J. B. Yoo, C. Caneau, R. Bhat, M. A. Koza, A. Rajhel, and N. Antoniades, Appl. Phys. Lett. 68, 2609 (1996).
[CrossRef]

Capasso, F.

J. Faist, F. Capasso, D. L. Sivco, C. Sirtori, A. L. Hutchinson, and A. Y. Cho, Science 264, 553 (1994).
[CrossRef] [PubMed]

Cho, A. Y.

J. Faist, F. Capasso, D. L. Sivco, C. Sirtori, A. L. Hutchinson, and A. Y. Cho, Science 264, 553 (1994).
[CrossRef] [PubMed]

Cohadon, P. F.

For a review on cw OPO’s see C. Fabre, P. F. Cohadon, and C. Schwob, Quantum Semiclass. Opt. 9, 165 (1997).
[CrossRef]

de Natale, P.

K. Schneider, P. Kramper, P. de Natale, M. Inguscio, S. Schiller, and J. Mlynek, in Conference on Lasers and Electro-Optics, Vol. 9 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), p. 44.

Ding, Y. J.

Dunn, M. H.

G. M. Gibson, M. H. Dunn, and M. J. Padgett, in Conference on Lasers and Electro-Optics, Vol. 9 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), p. 45.

Fabre, C.

For a review on cw OPO’s see C. Fabre, P. F. Cohadon, and C. Schwob, Quantum Semiclass. Opt. 9, 165 (1997).
[CrossRef]

Faist, J.

J. Faist, F. Capasso, D. L. Sivco, C. Sirtori, A. L. Hutchinson, and A. Y. Cho, Science 264, 553 (1994).
[CrossRef] [PubMed]

Fejer, M. M.

Fiore, A.

A. Fiore, V. Berger, E. Rosencher, P. Bravetti, and J. Nagle, Nature (London) 391, 463 (1998).
[CrossRef]

A. Fiore, “Conversion de fréquences optiques dans les hétérostructures GaAs/AlGaAs,” Ph.D. dissertation 4819 (University of Paris-XI, Paris, 1997), p. 108.

Gibson, G. M.

G. M. Gibson, M. H. Dunn, and M. J. Padgett, in Conference on Lasers and Electro-Optics, Vol. 9 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), p. 45.

Hutchinson, A. L.

J. Faist, F. Capasso, D. L. Sivco, C. Sirtori, A. L. Hutchinson, and A. Y. Cho, Science 264, 553 (1994).
[CrossRef] [PubMed]

Inguscio, M.

K. Schneider, P. Kramper, P. de Natale, M. Inguscio, S. Schiller, and J. Mlynek, in Conference on Lasers and Electro-Optics, Vol. 9 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), p. 44.

Ito, R.

Khurgin, J.

Kitamoto, A.

Kondo, T.

Koza, M. A.

S. J. B. Yoo, C. Caneau, R. Bhat, M. A. Koza, A. Rajhel, and N. Antoniades, Appl. Phys. Lett. 68, 2609 (1996).
[CrossRef]

Kramper, P.

K. Schneider, P. Kramper, P. de Natale, M. Inguscio, S. Schiller, and J. Mlynek, in Conference on Lasers and Electro-Optics, Vol. 9 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), p. 44.

Milburn, G. J.

D. F. Walls and G. J. Milburn, Quantum Optics (Springer-Verlag, Berlin, 1994).
[CrossRef]

Mlynek, J.

K. Schneider, P. Kramper, P. de Natale, M. Inguscio, S. Schiller, and J. Mlynek, in Conference on Lasers and Electro-Optics, Vol. 9 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), p. 44.

Nagle, J.

A. Fiore, V. Berger, E. Rosencher, P. Bravetti, and J. Nagle, Nature (London) 391, 463 (1998).
[CrossRef]

Padgett, M. J.

G. M. Gibson, M. H. Dunn, and M. J. Padgett, in Conference on Lasers and Electro-Optics, Vol. 9 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), p. 45.

Rajhel, A.

S. J. B. Yoo, C. Caneau, R. Bhat, M. A. Koza, A. Rajhel, and N. Antoniades, Appl. Phys. Lett. 68, 2609 (1996).
[CrossRef]

Rosencher, E.

J. Khurgin, E. Rosencher, and Y. J. Ding, J. Opt. Soc. Am. B 15, 1726 (1998).
[CrossRef]

A. Fiore, V. Berger, E. Rosencher, P. Bravetti, and J. Nagle, Nature (London) 391, 463 (1998).
[CrossRef]

See, for example, E. Rosencher and B. Vinter, Optoelectronique (Masson, Paris, 1998).

Schiller, S.

K. Schneider, P. Kramper, P. de Natale, M. Inguscio, S. Schiller, and J. Mlynek, in Conference on Lasers and Electro-Optics, Vol. 9 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), p. 44.

Schneider, K.

K. Schneider, P. Kramper, P. de Natale, M. Inguscio, S. Schiller, and J. Mlynek, in Conference on Lasers and Electro-Optics, Vol. 9 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), p. 44.

Schwob, C.

For a review on cw OPO’s see C. Fabre, P. F. Cohadon, and C. Schwob, Quantum Semiclass. Opt. 9, 165 (1997).
[CrossRef]

Shirane, M.

Shoji, I.

Sirtori, C.

J. Faist, F. Capasso, D. L. Sivco, C. Sirtori, A. L. Hutchinson, and A. Y. Cho, Science 264, 553 (1994).
[CrossRef] [PubMed]

Sivco, D. L.

J. Faist, F. Capasso, D. L. Sivco, C. Sirtori, A. L. Hutchinson, and A. Y. Cho, Science 264, 553 (1994).
[CrossRef] [PubMed]

Sutherland, R. L.

R. L. Sutherland, Handbook of Nonlinear Optics (Marcel Dekker, New York, 1996).

Vinter, B.

See, for example, E. Rosencher and B. Vinter, Optoelectronique (Masson, Paris, 1998).

Walls, D. F.

D. F. Walls and G. J. Milburn, Quantum Optics (Springer-Verlag, Berlin, 1994).
[CrossRef]

Yoo, S. J. B.

S. J. B. Yoo, C. Caneau, R. Bhat, M. A. Koza, A. Rajhel, and N. Antoniades, Appl. Phys. Lett. 68, 2609 (1996).
[CrossRef]

Appl. Phys. Lett. (1)

S. J. B. Yoo, C. Caneau, R. Bhat, M. A. Koza, A. Rajhel, and N. Antoniades, Appl. Phys. Lett. 68, 2609 (1996).
[CrossRef]

J. Opt. Soc. Am. B (2)

Nature (London) (1)

A. Fiore, V. Berger, E. Rosencher, P. Bravetti, and J. Nagle, Nature (London) 391, 463 (1998).
[CrossRef]

Opt. Lett. (2)

Quantum Semiclass. Opt. (1)

For a review on cw OPO’s see C. Fabre, P. F. Cohadon, and C. Schwob, Quantum Semiclass. Opt. 9, 165 (1997).
[CrossRef]

Science (1)

J. Faist, F. Capasso, D. L. Sivco, C. Sirtori, A. L. Hutchinson, and A. Y. Cho, Science 264, 553 (1994).
[CrossRef] [PubMed]

Other (6)

K. Schneider, P. Kramper, P. de Natale, M. Inguscio, S. Schiller, and J. Mlynek, in Conference on Lasers and Electro-Optics, Vol. 9 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), p. 44.

G. M. Gibson, M. H. Dunn, and M. J. Padgett, in Conference on Lasers and Electro-Optics, Vol. 9 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), p. 45.

D. F. Walls and G. J. Milburn, Quantum Optics (Springer-Verlag, Berlin, 1994).
[CrossRef]

See, for example, E. Rosencher and B. Vinter, Optoelectronique (Masson, Paris, 1998).

A. Fiore, “Conversion de fréquences optiques dans les hétérostructures GaAs/AlGaAs,” Ph.D. dissertation 4819 (University of Paris-XI, Paris, 1997), p. 108.

R. L. Sutherland, Handbook of Nonlinear Optics (Marcel Dekker, New York, 1996).

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Figures (5)

Fig. 1
Fig. 1

DFG output yield versus nonlinear detuning for γL=0 (dashed curve), γL=2.25 (dotted curve), and γL=4.5 (solid curve), as given by expression (2).

Fig. 2
Fig. 2

Normalized electric-field profiles in the proposed guiding structure: TM0 seed (thin curve), TE0 pump (thick curve), TE0 IR signal (dashed curve). The inset shows a GaAs QW that amplifies the seed field by the electron–light-hole transition and is transparent to the pump and the IR signal.

Fig. 3
Fig. 3

IR γ1=5.5 µm output signal at phase matching of a 3-mm-long waveguide versus saturation intensity for a pump λ3=1.01 µm input intensity I30=1 MW/cm2 and a seed λ2=852 nm input intensity I20=1 kW/cm2, or 100 kW/cm2. The value deff=60 pm/V has been assumed, and Γγ0L=0 (dotted curves), Γγ0L=2.25 (dashed curves), Γγ0L=4.5 (solid curves).

Fig. 4
Fig. 4

Full width versus saturation intensity of the phase-matching curves (same as those shown in Fig. 1) at the half-maximum of the zero-gain characteristic, for the same conditions as in Fig. 3. The dotted line represents the zero-gain case, regardless of seed input.

Fig. 5
Fig. 5

OPO threshold gain on the seed field versus phase mismatch for αL=2 and gL=1 (solid curve), gL=0.1 (dashed curve), gL=0.01 (dotted curve).

Equations (3)

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dA1/dz=-iκA3A2* exp-iΔkz+γ1A1,  dA2/dz=-iκA3A1* exp-iΔkz+γ2A2,  dA3/dz=-iκA1A2 expiΔkz+γ3A3,
A1zA202exp2γz+1-2 cosΔkzexpγzγ2+Δk2.
γ=γ01+I2/Isat,

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