Abstract

We have investigated the phase-sensitive deamplification response of a traveling-wave degenerate optical parametric amplifier that consists of a type II phase-matched KTP crystal pumped by the second harmonic of a Q-switched mode-locked Nd:YAG laser. Experimental results are in good agreement with the theory of an optical parametric amplifier in which the Gaussian-beam nature of the various fields along with the diffraction of the amplified signal beam is taken into account. Because of the phenomenon of gain-induced diffraction, maximum deamplification is limited to only ≃3 dB.

© 1994 Optical Society of America

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  1. R. E. Slusher, P. Grangier, A. LaPorta, B. Yurke, M. J. Potasek, Phys. Rev. Lett. 59, 2566 (1987); P. Kumar, O. Aytür, J. Huang, Phys. Rev. Lett. 64, 1015 (1990); T. Hirano, M. Matsuoka, Opt. Lett. 15, 1153 (1990); P. D. Townsend, R. Loudon, Phys. Rev. A 45, 458 (1992); D. T. Smithey, M. Beck, M. G. Raymer, Phys. Rev. Lett. 70, 1244 (1993).
    [CrossRef] [PubMed]
  2. A. LaPorta, R. E. Slusher, Phys. Rev. A 44, 2013 (1991).
    [CrossRef]
  3. O. Aytür, P. Kumar, Opt. Lett. 17, 529 (1992).
    [CrossRef] [PubMed]
  4. C. Kim, R.-D. Li, P. Kumar, in Quantum Electronics and Laser Science, Vol. 12 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), p. 214.
  5. R. W. Boyd, Nonlinear Optics (Academic, New York, 1992), Chap. 2.
  6. J. G. Rarity, P. R. Tapster, J. A. Levenson, J. C. Garreau, I. Abram, J. Mertz, T. Debuisschert, A. Heidmann, C. Fabre, E. Giacobino, Appl. Phys. B 55, 250 (1992).
    [CrossRef]
  7. A. V. Belinskiĭ, A. S. Chirkin, Sov. J. Quantum Electron. 19, 1638 (1989).
    [CrossRef]

1992 (2)

O. Aytür, P. Kumar, Opt. Lett. 17, 529 (1992).
[CrossRef] [PubMed]

J. G. Rarity, P. R. Tapster, J. A. Levenson, J. C. Garreau, I. Abram, J. Mertz, T. Debuisschert, A. Heidmann, C. Fabre, E. Giacobino, Appl. Phys. B 55, 250 (1992).
[CrossRef]

1991 (1)

A. LaPorta, R. E. Slusher, Phys. Rev. A 44, 2013 (1991).
[CrossRef]

1989 (1)

A. V. Belinskiĭ, A. S. Chirkin, Sov. J. Quantum Electron. 19, 1638 (1989).
[CrossRef]

1987 (1)

R. E. Slusher, P. Grangier, A. LaPorta, B. Yurke, M. J. Potasek, Phys. Rev. Lett. 59, 2566 (1987); P. Kumar, O. Aytür, J. Huang, Phys. Rev. Lett. 64, 1015 (1990); T. Hirano, M. Matsuoka, Opt. Lett. 15, 1153 (1990); P. D. Townsend, R. Loudon, Phys. Rev. A 45, 458 (1992); D. T. Smithey, M. Beck, M. G. Raymer, Phys. Rev. Lett. 70, 1244 (1993).
[CrossRef] [PubMed]

Abram, I.

J. G. Rarity, P. R. Tapster, J. A. Levenson, J. C. Garreau, I. Abram, J. Mertz, T. Debuisschert, A. Heidmann, C. Fabre, E. Giacobino, Appl. Phys. B 55, 250 (1992).
[CrossRef]

Aytür, O.

Belinskii, A. V.

A. V. Belinskiĭ, A. S. Chirkin, Sov. J. Quantum Electron. 19, 1638 (1989).
[CrossRef]

Boyd, R. W.

R. W. Boyd, Nonlinear Optics (Academic, New York, 1992), Chap. 2.

Chirkin, A. S.

A. V. Belinskiĭ, A. S. Chirkin, Sov. J. Quantum Electron. 19, 1638 (1989).
[CrossRef]

Debuisschert, T.

J. G. Rarity, P. R. Tapster, J. A. Levenson, J. C. Garreau, I. Abram, J. Mertz, T. Debuisschert, A. Heidmann, C. Fabre, E. Giacobino, Appl. Phys. B 55, 250 (1992).
[CrossRef]

Fabre, C.

J. G. Rarity, P. R. Tapster, J. A. Levenson, J. C. Garreau, I. Abram, J. Mertz, T. Debuisschert, A. Heidmann, C. Fabre, E. Giacobino, Appl. Phys. B 55, 250 (1992).
[CrossRef]

Garreau, J. C.

J. G. Rarity, P. R. Tapster, J. A. Levenson, J. C. Garreau, I. Abram, J. Mertz, T. Debuisschert, A. Heidmann, C. Fabre, E. Giacobino, Appl. Phys. B 55, 250 (1992).
[CrossRef]

Giacobino, E.

J. G. Rarity, P. R. Tapster, J. A. Levenson, J. C. Garreau, I. Abram, J. Mertz, T. Debuisschert, A. Heidmann, C. Fabre, E. Giacobino, Appl. Phys. B 55, 250 (1992).
[CrossRef]

Grangier, P.

R. E. Slusher, P. Grangier, A. LaPorta, B. Yurke, M. J. Potasek, Phys. Rev. Lett. 59, 2566 (1987); P. Kumar, O. Aytür, J. Huang, Phys. Rev. Lett. 64, 1015 (1990); T. Hirano, M. Matsuoka, Opt. Lett. 15, 1153 (1990); P. D. Townsend, R. Loudon, Phys. Rev. A 45, 458 (1992); D. T. Smithey, M. Beck, M. G. Raymer, Phys. Rev. Lett. 70, 1244 (1993).
[CrossRef] [PubMed]

Heidmann, A.

J. G. Rarity, P. R. Tapster, J. A. Levenson, J. C. Garreau, I. Abram, J. Mertz, T. Debuisschert, A. Heidmann, C. Fabre, E. Giacobino, Appl. Phys. B 55, 250 (1992).
[CrossRef]

Kim, C.

C. Kim, R.-D. Li, P. Kumar, in Quantum Electronics and Laser Science, Vol. 12 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), p. 214.

Kumar, P.

O. Aytür, P. Kumar, Opt. Lett. 17, 529 (1992).
[CrossRef] [PubMed]

C. Kim, R.-D. Li, P. Kumar, in Quantum Electronics and Laser Science, Vol. 12 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), p. 214.

LaPorta, A.

A. LaPorta, R. E. Slusher, Phys. Rev. A 44, 2013 (1991).
[CrossRef]

R. E. Slusher, P. Grangier, A. LaPorta, B. Yurke, M. J. Potasek, Phys. Rev. Lett. 59, 2566 (1987); P. Kumar, O. Aytür, J. Huang, Phys. Rev. Lett. 64, 1015 (1990); T. Hirano, M. Matsuoka, Opt. Lett. 15, 1153 (1990); P. D. Townsend, R. Loudon, Phys. Rev. A 45, 458 (1992); D. T. Smithey, M. Beck, M. G. Raymer, Phys. Rev. Lett. 70, 1244 (1993).
[CrossRef] [PubMed]

Levenson, J. A.

J. G. Rarity, P. R. Tapster, J. A. Levenson, J. C. Garreau, I. Abram, J. Mertz, T. Debuisschert, A. Heidmann, C. Fabre, E. Giacobino, Appl. Phys. B 55, 250 (1992).
[CrossRef]

Li, R.-D.

C. Kim, R.-D. Li, P. Kumar, in Quantum Electronics and Laser Science, Vol. 12 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), p. 214.

Mertz, J.

J. G. Rarity, P. R. Tapster, J. A. Levenson, J. C. Garreau, I. Abram, J. Mertz, T. Debuisschert, A. Heidmann, C. Fabre, E. Giacobino, Appl. Phys. B 55, 250 (1992).
[CrossRef]

Potasek, M. J.

R. E. Slusher, P. Grangier, A. LaPorta, B. Yurke, M. J. Potasek, Phys. Rev. Lett. 59, 2566 (1987); P. Kumar, O. Aytür, J. Huang, Phys. Rev. Lett. 64, 1015 (1990); T. Hirano, M. Matsuoka, Opt. Lett. 15, 1153 (1990); P. D. Townsend, R. Loudon, Phys. Rev. A 45, 458 (1992); D. T. Smithey, M. Beck, M. G. Raymer, Phys. Rev. Lett. 70, 1244 (1993).
[CrossRef] [PubMed]

Rarity, J. G.

J. G. Rarity, P. R. Tapster, J. A. Levenson, J. C. Garreau, I. Abram, J. Mertz, T. Debuisschert, A. Heidmann, C. Fabre, E. Giacobino, Appl. Phys. B 55, 250 (1992).
[CrossRef]

Slusher, R. E.

A. LaPorta, R. E. Slusher, Phys. Rev. A 44, 2013 (1991).
[CrossRef]

R. E. Slusher, P. Grangier, A. LaPorta, B. Yurke, M. J. Potasek, Phys. Rev. Lett. 59, 2566 (1987); P. Kumar, O. Aytür, J. Huang, Phys. Rev. Lett. 64, 1015 (1990); T. Hirano, M. Matsuoka, Opt. Lett. 15, 1153 (1990); P. D. Townsend, R. Loudon, Phys. Rev. A 45, 458 (1992); D. T. Smithey, M. Beck, M. G. Raymer, Phys. Rev. Lett. 70, 1244 (1993).
[CrossRef] [PubMed]

Tapster, P. R.

J. G. Rarity, P. R. Tapster, J. A. Levenson, J. C. Garreau, I. Abram, J. Mertz, T. Debuisschert, A. Heidmann, C. Fabre, E. Giacobino, Appl. Phys. B 55, 250 (1992).
[CrossRef]

Yurke, B.

R. E. Slusher, P. Grangier, A. LaPorta, B. Yurke, M. J. Potasek, Phys. Rev. Lett. 59, 2566 (1987); P. Kumar, O. Aytür, J. Huang, Phys. Rev. Lett. 64, 1015 (1990); T. Hirano, M. Matsuoka, Opt. Lett. 15, 1153 (1990); P. D. Townsend, R. Loudon, Phys. Rev. A 45, 458 (1992); D. T. Smithey, M. Beck, M. G. Raymer, Phys. Rev. Lett. 70, 1244 (1993).
[CrossRef] [PubMed]

Appl. Phys. B (1)

J. G. Rarity, P. R. Tapster, J. A. Levenson, J. C. Garreau, I. Abram, J. Mertz, T. Debuisschert, A. Heidmann, C. Fabre, E. Giacobino, Appl. Phys. B 55, 250 (1992).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. A (1)

A. LaPorta, R. E. Slusher, Phys. Rev. A 44, 2013 (1991).
[CrossRef]

Phys. Rev. Lett. (1)

R. E. Slusher, P. Grangier, A. LaPorta, B. Yurke, M. J. Potasek, Phys. Rev. Lett. 59, 2566 (1987); P. Kumar, O. Aytür, J. Huang, Phys. Rev. Lett. 64, 1015 (1990); T. Hirano, M. Matsuoka, Opt. Lett. 15, 1153 (1990); P. D. Townsend, R. Loudon, Phys. Rev. A 45, 458 (1992); D. T. Smithey, M. Beck, M. G. Raymer, Phys. Rev. Lett. 70, 1244 (1993).
[CrossRef] [PubMed]

Sov. J. Quantum Electron. (1)

A. V. Belinskiĭ, A. S. Chirkin, Sov. J. Quantum Electron. 19, 1638 (1989).
[CrossRef]

Other (2)

C. Kim, R.-D. Li, P. Kumar, in Quantum Electronics and Laser Science, Vol. 12 of 1993 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1993), p. 214.

R. W. Boyd, Nonlinear Optics (Academic, New York, 1992), Chap. 2.

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Figures (3)

Fig. 1
Fig. 1

Schematic of the experimental setup for measuring the gain response of the traveling-wave OPA. The PSA phase is controlled by application of a voltage to the PZT.

Fig. 2
Fig. 2

Q-switched pulse envelopes at the input and output of the OPA. The pump phase is adjusted either to amplify or deamplify the input signal beam. The pump power was set to get a PSA gain of ≃ 4.

Fig. 3
Fig. 3

Pump power dependence of the peak deamplification for a 5-mm crystal. The solid curve is a theoretical fit to Eq. (6) below. The dashed curve is a plot of exp(−2Φ), which is a result of the plane-wave theory and thus excludes the l/z0 correction term.

Equations (6)

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E z + 1 2 ik 2 E = K exp ( i ϕ p ) E p E * ,
E x ( y ) z ± 1 2 k 2 E y ( x ) = KE p E x ( y ) .
E x ( y ) ( ρ , l ) = E x ( y ) ( ρ , 0 ) exp ( ± ζ ) + l z 0 E y ( x ) ( ρ , 0 ) f ( ± ζ , ± Φ ) ,
E ( ρ , l ) = E ( ρ , 0 ) cosh ( ζ ) + E * ( ρ , 0 ) exp ( i ϕ p ) sinh ( ζ ) + i l 2 z 0 { [ f ( ζ , Φ ) f ( ζ , Φ ) ] E ( ρ , 0 ) + [ f ( ζ , Φ ) + f ( ζ , Φ ) ] E * ( ρ , 0 ) exp ( i ϕ p ) } .
E ( ρ , l ) = E ( ρ , 0 ) { exp [ ζ ( ρ ) ] i ( l / z 0 ) f ( ζ ) } ,
D PSA = | E ( ρ , l ) | 2 d ρ | E ( ρ , 0 ) | 2 d ρ = 1 exp ( 2 Φ ) 2 Φ + ( l z 0 ) 2 1 Φ 0 Φ f ( ξ ) 2 d ξ .

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