Abstract

For the first time to our knowledge, the phase-to-phase and phase-to-amplitude transfer functions of a nondegenerate-idler phase-sensitive fiber optic parametric amplifier are experimentally measured. Additionally, analytically and numerically obtained transfer curves show excellent agreement with the experimental curves. The experimental results were obtained by imposing a linear phase modulation onto the signal and idler wave simultaneously, and detecting the input and output signal using a self-homodyne coherent receiver.

© 2011 Optical Society of America

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  1. P. A. Andrekson, C. Lundström, and Z. Tong, in Proceedings European Conference on Optical Communications 2010 (IEEE, 2010), paper We.6.E.1.
  2. J. Kakande, C. Lundström, P. A. Andrekson, Z. Tong, M. Karlsson, P. Petropoulos, F. Parmigiani, and D. J. Richardson, Opt. Express 18, 4130 (2010).
    [CrossRef] [PubMed]
  3. K. Croussore and G. Li, IEEE J. Sel. Top. Quantum Electron. 14, 648 (2008).
    [CrossRef]
  4. C. M. Caves, Phys. Rev. D 26, 1817 (1982).
    [CrossRef]
  5. Z. Tong, C. Lundström, P. A. Andrekson, C. J. McKinstrie, M. Karlsson, D. J. Blessing, E. Tipsuwannakul, B. J. Puttnam, H. Toda, and L. Grüner-Nielsen, Nat. Photon. 5, 430 (2011).
    [CrossRef]
  6. R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photon. 4, 690 (2010).
    [CrossRef]
  7. C. McKinstrie and S. Radic, Opt. Express 12, 4973 (2004).
    [CrossRef] [PubMed]
  8. C. Lundström, B. J. Puttnam, Z. Tong, M. Karlsson, and P. A. Andrekson, in Proceedings European Conference on Optical Communications 2010 (IEEE, 2010), paper Th.10.C.1.

2011 (1)

Z. Tong, C. Lundström, P. A. Andrekson, C. J. McKinstrie, M. Karlsson, D. J. Blessing, E. Tipsuwannakul, B. J. Puttnam, H. Toda, and L. Grüner-Nielsen, Nat. Photon. 5, 430 (2011).
[CrossRef]

2010 (2)

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photon. 4, 690 (2010).
[CrossRef]

J. Kakande, C. Lundström, P. A. Andrekson, Z. Tong, M. Karlsson, P. Petropoulos, F. Parmigiani, and D. J. Richardson, Opt. Express 18, 4130 (2010).
[CrossRef] [PubMed]

2008 (1)

K. Croussore and G. Li, IEEE J. Sel. Top. Quantum Electron. 14, 648 (2008).
[CrossRef]

2004 (1)

1982 (1)

C. M. Caves, Phys. Rev. D 26, 1817 (1982).
[CrossRef]

Andrekson, P. A.

Z. Tong, C. Lundström, P. A. Andrekson, C. J. McKinstrie, M. Karlsson, D. J. Blessing, E. Tipsuwannakul, B. J. Puttnam, H. Toda, and L. Grüner-Nielsen, Nat. Photon. 5, 430 (2011).
[CrossRef]

J. Kakande, C. Lundström, P. A. Andrekson, Z. Tong, M. Karlsson, P. Petropoulos, F. Parmigiani, and D. J. Richardson, Opt. Express 18, 4130 (2010).
[CrossRef] [PubMed]

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photon. 4, 690 (2010).
[CrossRef]

C. Lundström, B. J. Puttnam, Z. Tong, M. Karlsson, and P. A. Andrekson, in Proceedings European Conference on Optical Communications 2010 (IEEE, 2010), paper Th.10.C.1.

P. A. Andrekson, C. Lundström, and Z. Tong, in Proceedings European Conference on Optical Communications 2010 (IEEE, 2010), paper We.6.E.1.

Blessing, D. J.

Z. Tong, C. Lundström, P. A. Andrekson, C. J. McKinstrie, M. Karlsson, D. J. Blessing, E. Tipsuwannakul, B. J. Puttnam, H. Toda, and L. Grüner-Nielsen, Nat. Photon. 5, 430 (2011).
[CrossRef]

Bogris, A.

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photon. 4, 690 (2010).
[CrossRef]

Caves, C. M.

C. M. Caves, Phys. Rev. D 26, 1817 (1982).
[CrossRef]

Croussore, K.

K. Croussore and G. Li, IEEE J. Sel. Top. Quantum Electron. 14, 648 (2008).
[CrossRef]

Dasgupta, S.

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photon. 4, 690 (2010).
[CrossRef]

Ellis, A. D.

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photon. 4, 690 (2010).
[CrossRef]

Grüner-Nielsen, L.

Z. Tong, C. Lundström, P. A. Andrekson, C. J. McKinstrie, M. Karlsson, D. J. Blessing, E. Tipsuwannakul, B. J. Puttnam, H. Toda, and L. Grüner-Nielsen, Nat. Photon. 5, 430 (2011).
[CrossRef]

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photon. 4, 690 (2010).
[CrossRef]

Herstrøm, S.

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photon. 4, 690 (2010).
[CrossRef]

Jakobsen, D.

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photon. 4, 690 (2010).
[CrossRef]

Kakande, J.

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photon. 4, 690 (2010).
[CrossRef]

J. Kakande, C. Lundström, P. A. Andrekson, Z. Tong, M. Karlsson, P. Petropoulos, F. Parmigiani, and D. J. Richardson, Opt. Express 18, 4130 (2010).
[CrossRef] [PubMed]

Karlsson, M.

Z. Tong, C. Lundström, P. A. Andrekson, C. J. McKinstrie, M. Karlsson, D. J. Blessing, E. Tipsuwannakul, B. J. Puttnam, H. Toda, and L. Grüner-Nielsen, Nat. Photon. 5, 430 (2011).
[CrossRef]

J. Kakande, C. Lundström, P. A. Andrekson, Z. Tong, M. Karlsson, P. Petropoulos, F. Parmigiani, and D. J. Richardson, Opt. Express 18, 4130 (2010).
[CrossRef] [PubMed]

C. Lundström, B. J. Puttnam, Z. Tong, M. Karlsson, and P. A. Andrekson, in Proceedings European Conference on Optical Communications 2010 (IEEE, 2010), paper Th.10.C.1.

Li, G.

K. Croussore and G. Li, IEEE J. Sel. Top. Quantum Electron. 14, 648 (2008).
[CrossRef]

Lundström, C.

Z. Tong, C. Lundström, P. A. Andrekson, C. J. McKinstrie, M. Karlsson, D. J. Blessing, E. Tipsuwannakul, B. J. Puttnam, H. Toda, and L. Grüner-Nielsen, Nat. Photon. 5, 430 (2011).
[CrossRef]

J. Kakande, C. Lundström, P. A. Andrekson, Z. Tong, M. Karlsson, P. Petropoulos, F. Parmigiani, and D. J. Richardson, Opt. Express 18, 4130 (2010).
[CrossRef] [PubMed]

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photon. 4, 690 (2010).
[CrossRef]

C. Lundström, B. J. Puttnam, Z. Tong, M. Karlsson, and P. A. Andrekson, in Proceedings European Conference on Optical Communications 2010 (IEEE, 2010), paper Th.10.C.1.

P. A. Andrekson, C. Lundström, and Z. Tong, in Proceedings European Conference on Optical Communications 2010 (IEEE, 2010), paper We.6.E.1.

McKinstrie, C.

McKinstrie, C. J.

Z. Tong, C. Lundström, P. A. Andrekson, C. J. McKinstrie, M. Karlsson, D. J. Blessing, E. Tipsuwannakul, B. J. Puttnam, H. Toda, and L. Grüner-Nielsen, Nat. Photon. 5, 430 (2011).
[CrossRef]

O’Gorman, J.

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photon. 4, 690 (2010).
[CrossRef]

Parmigiani, F.

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photon. 4, 690 (2010).
[CrossRef]

J. Kakande, C. Lundström, P. A. Andrekson, Z. Tong, M. Karlsson, P. Petropoulos, F. Parmigiani, and D. J. Richardson, Opt. Express 18, 4130 (2010).
[CrossRef] [PubMed]

Petropoulos, P.

J. Kakande, C. Lundström, P. A. Andrekson, Z. Tong, M. Karlsson, P. Petropoulos, F. Parmigiani, and D. J. Richardson, Opt. Express 18, 4130 (2010).
[CrossRef] [PubMed]

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photon. 4, 690 (2010).
[CrossRef]

Phelan, R.

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photon. 4, 690 (2010).
[CrossRef]

Puttnam, B. J.

Z. Tong, C. Lundström, P. A. Andrekson, C. J. McKinstrie, M. Karlsson, D. J. Blessing, E. Tipsuwannakul, B. J. Puttnam, H. Toda, and L. Grüner-Nielsen, Nat. Photon. 5, 430 (2011).
[CrossRef]

C. Lundström, B. J. Puttnam, Z. Tong, M. Karlsson, and P. A. Andrekson, in Proceedings European Conference on Optical Communications 2010 (IEEE, 2010), paper Th.10.C.1.

Radic, S.

Richardson, D. J.

J. Kakande, C. Lundström, P. A. Andrekson, Z. Tong, M. Karlsson, P. Petropoulos, F. Parmigiani, and D. J. Richardson, Opt. Express 18, 4130 (2010).
[CrossRef] [PubMed]

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photon. 4, 690 (2010).
[CrossRef]

Sjödin, M.

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photon. 4, 690 (2010).
[CrossRef]

Slavík, R.

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photon. 4, 690 (2010).
[CrossRef]

Sygletos, S.

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photon. 4, 690 (2010).
[CrossRef]

Syvridis, D.

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photon. 4, 690 (2010).
[CrossRef]

Tipsuwannakul, E.

Z. Tong, C. Lundström, P. A. Andrekson, C. J. McKinstrie, M. Karlsson, D. J. Blessing, E. Tipsuwannakul, B. J. Puttnam, H. Toda, and L. Grüner-Nielsen, Nat. Photon. 5, 430 (2011).
[CrossRef]

Toda, H.

Z. Tong, C. Lundström, P. A. Andrekson, C. J. McKinstrie, M. Karlsson, D. J. Blessing, E. Tipsuwannakul, B. J. Puttnam, H. Toda, and L. Grüner-Nielsen, Nat. Photon. 5, 430 (2011).
[CrossRef]

Tong, Z.

Z. Tong, C. Lundström, P. A. Andrekson, C. J. McKinstrie, M. Karlsson, D. J. Blessing, E. Tipsuwannakul, B. J. Puttnam, H. Toda, and L. Grüner-Nielsen, Nat. Photon. 5, 430 (2011).
[CrossRef]

J. Kakande, C. Lundström, P. A. Andrekson, Z. Tong, M. Karlsson, P. Petropoulos, F. Parmigiani, and D. J. Richardson, Opt. Express 18, 4130 (2010).
[CrossRef] [PubMed]

P. A. Andrekson, C. Lundström, and Z. Tong, in Proceedings European Conference on Optical Communications 2010 (IEEE, 2010), paper We.6.E.1.

C. Lundström, B. J. Puttnam, Z. Tong, M. Karlsson, and P. A. Andrekson, in Proceedings European Conference on Optical Communications 2010 (IEEE, 2010), paper Th.10.C.1.

Weerasuriya, R.

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photon. 4, 690 (2010).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (1)

K. Croussore and G. Li, IEEE J. Sel. Top. Quantum Electron. 14, 648 (2008).
[CrossRef]

Nat. Photon. (2)

Z. Tong, C. Lundström, P. A. Andrekson, C. J. McKinstrie, M. Karlsson, D. J. Blessing, E. Tipsuwannakul, B. J. Puttnam, H. Toda, and L. Grüner-Nielsen, Nat. Photon. 5, 430 (2011).
[CrossRef]

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photon. 4, 690 (2010).
[CrossRef]

Opt. Express (2)

Phys. Rev. D (1)

C. M. Caves, Phys. Rev. D 26, 1817 (1982).
[CrossRef]

Other (2)

P. A. Andrekson, C. Lundström, and Z. Tong, in Proceedings European Conference on Optical Communications 2010 (IEEE, 2010), paper We.6.E.1.

C. Lundström, B. J. Puttnam, Z. Tong, M. Karlsson, and P. A. Andrekson, in Proceedings European Conference on Optical Communications 2010 (IEEE, 2010), paper Th.10.C.1.

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Figures (4)

Fig. 1
Fig. 1

Experimental setup. The acronyms are explained in the text.

Fig. 2
Fig. 2

(a) Analytical and (b) experimental phase-to-amplitude and phase-to-phase transfer functions of a nondegenerate-idler PSA with a maximum of 11 dB of on–off gain.

Fig. 3
Fig. 3

Experimental (top) and analytical phase-to-phase transfer functions of a nondegenerate PSA for different on–off gains, controlled by changing the pump power.

Fig. 4
Fig. 4

Experimental phase-to-phase transfer functions and output signals in the complex plane of a nondegenerate PSA for different signal-to-idler power ratio at the PSA input.

Equations (6)

Equations on this page are rendered with MathJax. Learn more.

A s A i * = μ ν ν * μ * A s , 0 A i , 0 * ,
P s = | μ | 2 P s 0 + | ν | 2 P i 0 + 2 | μ | | ν | P s 0 P i 0 · cos ( Δ ϕ ) ,
ϕ s = arctan [ | μ | P s 0 sin ( ϕ μ + ϕ s 0 ) + | ν | P i 0 sin ( ϕ ν + ϕ i 0 ) | μ | P s 0 cos ( ϕ μ + ϕ s 0 ) + | ν | P i 0 cos ( ϕ ν + ϕ i 0 ) ] ,
P s = P s 0 + ( P s 0 + P i 0 ) sinh 2 ( g 0 L ) + sinh ( 2 g 0 L ) P s 0 P i 0 sin ( ϕ s 0 + ϕ i 0 ) ,
P s = P s 0 [ cosh ( 2 g 0 L ) + sinh ( 2 g 0 L ) · sin ( 2 ϕ s 0 ) ] ,
ϕ s = arctan [ cosh ( 2 g 0 L ) sin ( ϕ s 0 ) + sinh ( 2 g 0 L ) cos ( ϕ s 0 ) cosh ( 2 g 0 L ) cos ( ϕ s 0 ) + sinh ( 2 g 0 L ) sin ( ϕ s 0 ) ] ,

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