Abstract

We experimentally demonstrate phase-sensitive amplification based on pump-degenerate four-wave mixing in dispersion-engineered chalcogenide waveguides. We achieve a maximum extinction ratio of 18 dB with a pump peak power of 6.7 W. The variation of the gain as a function of relative phase, pump power, and bandwidth is theoretically analyzed and experimentally studied. Additionally, an analytical formula relating the phase-transfer curve to the experimental gain curve is derived. Numerical calculations show strong agreement with the experimental results.

© 2014 Optical Society of America

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    [CrossRef]
  37. K. J. Lee, F. Parmigiani, S. Liu, J. Kakande, P. Petropoulos, K. Gallo, and D. Richardson, “Phase sensitive amplification based on quadratic cascading in a periodically poled lithium niobate waveguide,” Opt. Express 17, 20393–20400 (2009).
    [CrossRef]

2013 (2)

2012 (5)

2011 (5)

2010 (5)

J. Kakande, C. Lundström, P. A. Andrekson, Z. Tong, M. Karlsson, P. Petropoulos, F. Parmigiani, and D. J. Richardson, “Detailed characterisation of a fiber-optic parametric amplifier in phase-sensitive and phase-insensitive operation,” Opt. Express 18, 4130–4137 (2010).
[CrossRef]

Z. Dutton, J. H. Shapiro, and S. Guha, “LADAR resolution improvement using receivers enhanced with squeezed-vacuum injection and phase-sensitive amplification,” J. Opt. Soc. Am. B 27, A63–A72 (2010).
[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, “All-optical phase and amplitude regenerator for next-generation telecommunications systems,” Nat. Photonics 4, 690–695 (2010).
[CrossRef]

D. Choi, S. Madden, D. Bulla, R. Wang, A. Rode, and B. Luther-Davies, “Submicrometer-thick low-loss As2S3 planar waveguides for nonlinear optical devices,” IEEE Photon. Technol. Lett. 22, 495–497 (2010).
[CrossRef]

J. Kakande, F. Parmigiani, M. Ibsen, P. Petropoulos, and D. J. Richardson, “Wide bandwidth experimental study of nondegenerate phase-sensitive amplifiers in single-and dual-pump configurations,” IEEE Photon. Technol. Lett. 22, 1781–1783 (2010).
[CrossRef]

2009 (2)

2008 (1)

2007 (2)

M. R. Lamont, C. M. de Sterke, and B. J. Eggleton, “Dispersion engineering of highly nonlinear As2S3 waveguides for parametric gain and wavelength conversion,” Opt. Express 15, 9458–9463 (2007).
[CrossRef]

Y. Zhang, T. Furuta, R. Okubo, K. Takahashi, and T. Hirano, “Experimental generation of broadband quadrature entanglement using laser pulses,” Phys. Rev. A 76, 012314 (2007).
[CrossRef]

2006 (3)

M. A. Foster, A. C. Turner, J. E. Sharping, B. S. Schmidt, M. Lipson, and A. L. Gaeta, “Broad-band optical parametric gain on a silicon photonic chip,” Nature 441, 960–963 (2006).
[CrossRef]

A. Bogris and D. Syvridis, “RZ-DPSK signal regeneration based on dual-pump phase-sensitive amplification in fibers,” IEEE Photon. Technol. Lett. 18, 2144–2146 (2006).
[CrossRef]

P. L. Voss, K. G. Köprülü, and P. Kumar, “Raman-noise-induced quantum limits for χ(3) nondegenerate phase-sensitive amplification and quadrature squeezing,” J. Opt. Soc. Am. B 23, 598–610 (2006).
[CrossRef]

2005 (3)

2004 (1)

1999 (2)

D. Levandovsky, M. Vasilyev, and P. Kumar, “Amplitude squeezing of light by means of a phase-sensitive fiber parametric amplifier,” Opt. Lett. 24, 984–986 (1999).
[CrossRef]

W. Imajuku, A. Takada, and Y. Yamabayashi, “Low-noise amplification under the 3  dB noise figure in high-gain phase-sensitive fibre amplifier,” Electron. Lett. 35, 1954–1955 (1999).
[CrossRef]

1982 (1)

C. M. Caves, “Quantum limits on noise in linear amplifiers,” Phys. Rev. D 26, 1817–1839 (1982).
[CrossRef]

Agrawal, G. P.

G. P. Agrawal, Nonlinear Fiber Optics (Academic, 2007).

Alic, N.

Andrekson, P.

Andrekson, P. A.

Z. Tong, C. Lundstrom, P. A. Andrekson, M. Karlsson, and A. Bogris, “Ultralow noise, broadband phase-sensitive optical amplifiers, and their applications,” IEEE J. Sel. Top. Quantum Electron. 18, 1016–1032 (2012).
[CrossRef]

C. Lundström, Z. Tong, M. Karlsson, and P. A. Andrekson, “Phase-to-phase and phase-to-amplitude transfer characteristics of a nondegenerate-idler phase-sensitive amplifier,” Opt. Lett. 36, 4356–4358 (2011).
[CrossRef]

J. Kakande, C. Lundström, P. A. Andrekson, Z. Tong, M. Karlsson, P. Petropoulos, F. Parmigiani, and D. J. Richardson, “Detailed characterisation of a fiber-optic parametric amplifier in phase-sensitive and phase-insensitive operation,” Opt. Express 18, 4130–4137 (2010).
[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, “All-optical phase and amplitude regenerator for next-generation telecommunications systems,” Nat. Photonics 4, 690–695 (2010).
[CrossRef]

Asobe, M.

Bogris, A.

Z. Tong, C. Lundstrom, P. A. Andrekson, M. Karlsson, and A. Bogris, “Ultralow noise, broadband phase-sensitive optical amplifiers, and their applications,” IEEE J. Sel. Top. Quantum Electron. 18, 1016–1032 (2012).
[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, “All-optical phase and amplitude regenerator for next-generation telecommunications systems,” Nat. Photonics 4, 690–695 (2010).
[CrossRef]

A. Bogris and D. Syvridis, “RZ-DPSK signal regeneration based on dual-pump phase-sensitive amplification in fibers,” IEEE Photon. Technol. Lett. 18, 2144–2146 (2006).
[CrossRef]

Bulla, D.

D. Choi, S. Madden, D. Bulla, R. Wang, A. Rode, and B. Luther-Davies, “Submicrometer-thick low-loss As2S3 planar waveguides for nonlinear optical devices,” IEEE Photon. Technol. Lett. 22, 495–497 (2010).
[CrossRef]

Caves, C. M.

C. M. Caves, “Quantum limits on noise in linear amplifiers,” Phys. Rev. D 26, 1817–1839 (1982).
[CrossRef]

Choi, D.

D. Choi, S. Madden, D. Bulla, R. Wang, A. Rode, and B. Luther-Davies, “Submicrometer-thick low-loss As2S3 planar waveguides for nonlinear optical devices,” IEEE Photon. Technol. Lett. 22, 495–497 (2010).
[CrossRef]

Choi, D.-Y.

Corcoran, B.

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, “All-optical phase and amplitude regenerator for next-generation telecommunications systems,” Nat. Photonics 4, 690–695 (2010).
[CrossRef]

de Sterke, C. M.

Devgan, P. S.

Dutt, A.

A. Dutt, K. Luke, S. Manipatruni, P. A. Nussenzveig, A. L. Gaeta, and M. Lipson, “Demonstration of squeezing on chip,” in CLEO: QELS_Fundamental Science (Optical Society of America, 2013), paper QTh5B.

Dutton, Z.

Eggleton, B.

Y. Zhang, C. Husko, J. Schroder, S. Lefrancois, I. Rey, T. Krauss, and B. Eggleton, “Record 11  dB phase sensitive amplification in sub-millimeter silicon waveguides,” in Lasers and Electro-Optics Pacific Rim (IEEE, 2013), paper 1-2.

Eggleton, B. J.

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, “All-optical phase and amplitude regenerator for next-generation telecommunications systems,” Nat. Photonics 4, 690–695 (2010).
[CrossRef]

Ettabib, M. A.

Feng, X.

Foster, M. A.

M. A. Foster, A. C. Turner, J. E. Sharping, B. S. Schmidt, M. Lipson, and A. L. Gaeta, “Broad-band optical parametric gain on a silicon photonic chip,” Nature 441, 960–963 (2006).
[CrossRef]

Furuta, T.

Y. Zhang, T. Furuta, R. Okubo, K. Takahashi, and T. Hirano, “Experimental generation of broadband quadrature entanglement using laser pulses,” Phys. Rev. A 76, 012314 (2007).
[CrossRef]

Gaeta, A. L.

M. A. Foster, A. C. Turner, J. E. Sharping, B. S. Schmidt, M. Lipson, and A. L. Gaeta, “Broad-band optical parametric gain on a silicon photonic chip,” Nature 441, 960–963 (2006).
[CrossRef]

A. Dutt, K. Luke, S. Manipatruni, P. A. Nussenzveig, A. L. Gaeta, and M. Lipson, “Demonstration of squeezing on chip,” in CLEO: QELS_Fundamental Science (Optical Society of America, 2013), paper QTh5B.

Gai, X.

Gallo, K.

Gao, M.

Grigoryan, V.

Grüner-Nielsen, L.

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, “All-optical phase and amplitude regenerator for next-generation telecommunications systems,” Nat. Photonics 4, 690–695 (2010).
[CrossRef]

Guha, S.

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, “All-optical phase and amplitude regenerator for next-generation telecommunications systems,” Nat. Photonics 4, 690–695 (2010).
[CrossRef]

Hile, S.

Hirano, T.

Y. Zhang, T. Furuta, R. Okubo, K. Takahashi, and T. Hirano, “Experimental generation of broadband quadrature entanglement using laser pulses,” Phys. Rev. A 76, 012314 (2007).
[CrossRef]

Husko, C.

Y. Zhang, C. Husko, J. Schroder, S. Lefrancois, I. Rey, T. Krauss, and B. Eggleton, “Record 11  dB phase sensitive amplification in sub-millimeter silicon waveguides,” in Lasers and Electro-Optics Pacific Rim (IEEE, 2013), paper 1-2.

Ibsen, M.

J. Kakande, F. Parmigiani, M. Ibsen, P. Petropoulos, and D. J. Richardson, “Wide bandwidth experimental study of nondegenerate phase-sensitive amplifiers in single-and dual-pump configurations,” IEEE Photon. Technol. Lett. 22, 1781–1783 (2010).
[CrossRef]

Imajuku, W.

W. Imajuku, A. Takada, and Y. Yamabayashi, “Low-noise amplification under the 3  dB noise figure in high-gain phase-sensitive fibre amplifier,” Electron. Lett. 35, 1954–1955 (1999).
[CrossRef]

Inoue, T.

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, “All-optical phase and amplitude regenerator for next-generation telecommunications systems,” Nat. Photonics 4, 690–695 (2010).
[CrossRef]

Jones, L.

Kakande, J.

M. A. Ettabib, F. Parmigiani, X. Feng, L. Jones, J. Kakande, R. Slavík, F. Poletti, G. M. Ponzo, J. Shi, M. N. Petrovich, W. H. Loh, P. Petropoulos, and D. J. Richardson, “Phase regeneration of DPSK signals in a highly nonlinear lead-silicate W-type fiber,” Opt. Express 20, 27419–27424 (2012).
[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, “All-optical phase and amplitude regenerator for next-generation telecommunications systems,” Nat. Photonics 4, 690–695 (2010).
[CrossRef]

J. Kakande, F. Parmigiani, M. Ibsen, P. Petropoulos, and D. J. Richardson, “Wide bandwidth experimental study of nondegenerate phase-sensitive amplifiers in single-and dual-pump configurations,” IEEE Photon. Technol. Lett. 22, 1781–1783 (2010).
[CrossRef]

J. Kakande, C. Lundström, P. A. Andrekson, Z. Tong, M. Karlsson, P. Petropoulos, F. Parmigiani, and D. J. Richardson, “Detailed characterisation of a fiber-optic parametric amplifier in phase-sensitive and phase-insensitive operation,” Opt. Express 18, 4130–4137 (2010).
[CrossRef]

K. J. Lee, F. Parmigiani, S. Liu, J. Kakande, P. Petropoulos, K. Gallo, and D. Richardson, “Phase sensitive amplification based on quadratic cascading in a periodically poled lithium niobate waveguide,” Opt. Express 17, 20393–20400 (2009).
[CrossRef]

Karlsson, M.

Köprülü, K. G.

Krauss, T.

Y. Zhang, C. Husko, J. Schroder, S. Lefrancois, I. Rey, T. Krauss, and B. Eggleton, “Record 11  dB phase sensitive amplification in sub-millimeter silicon waveguides,” in Lasers and Electro-Optics Pacific Rim (IEEE, 2013), paper 1-2.

Kumar, P.

Kuo, B. P.

Kurosu, T.

Lamont, M. R.

Lasri, J.

Lee, K. J.

Lefrancois, S.

Y. Zhang, C. Husko, J. Schroder, S. Lefrancois, I. Rey, T. Krauss, and B. Eggleton, “Record 11  dB phase sensitive amplification in sub-millimeter silicon waveguides,” in Lasers and Electro-Optics Pacific Rim (IEEE, 2013), paper 1-2.

Levandovsky, D.

Li, E.

Lipson, M.

M. A. Foster, A. C. Turner, J. E. Sharping, B. S. Schmidt, M. Lipson, and A. L. Gaeta, “Broad-band optical parametric gain on a silicon photonic chip,” Nature 441, 960–963 (2006).
[CrossRef]

A. Dutt, K. Luke, S. Manipatruni, P. A. Nussenzveig, A. L. Gaeta, and M. Lipson, “Demonstration of squeezing on chip,” in CLEO: QELS_Fundamental Science (Optical Society of America, 2013), paper QTh5B.

Liu, S.

Loh, W. H.

Luke, K.

A. Dutt, K. Luke, S. Manipatruni, P. A. Nussenzveig, A. L. Gaeta, and M. Lipson, “Demonstration of squeezing on chip,” in CLEO: QELS_Fundamental Science (Optical Society of America, 2013), paper QTh5B.

Lundstrom, C.

Z. Tong, C. Lundstrom, P. A. Andrekson, M. Karlsson, and A. Bogris, “Ultralow noise, broadband phase-sensitive optical amplifiers, and their applications,” IEEE J. Sel. Top. Quantum Electron. 18, 1016–1032 (2012).
[CrossRef]

Lundström, C.

Luther-Davies, B.

Madden, S.

Madden, S. J.

Manipatruni, S.

A. Dutt, K. Luke, S. Manipatruni, P. A. Nussenzveig, A. L. Gaeta, and M. Lipson, “Demonstration of squeezing on chip,” in CLEO: QELS_Fundamental Science (Optical Society of America, 2013), paper QTh5B.

Marhic, M. E.

M. E. Marhic, Fiber Optical Parametric Amplifiers, Oscillators and Related Devices (Cambridge University, 2008).

Mazroa, D.

B. J. Puttnam, D. Mazroa, S. Shinada, and N. Wada, “Large phase sensitive gain in periodically poled lithium–niobate with high pump power,” IEEE Photon. Technol. Lett. 23, 426–428 (2011).
[CrossRef]

Mcfarlane, H.

McKinstrie, C.

Miyamoto, Y.

Myslivets, E.

Namiki, S.

Neo, R.

Nussenzveig, P. A.

A. Dutt, K. Luke, S. Manipatruni, P. A. Nussenzveig, A. L. Gaeta, and M. Lipson, “Demonstration of squeezing on chip,” in CLEO: QELS_Fundamental Science (Optical Society of America, 2013), paper QTh5B.

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, “All-optical phase and amplitude regenerator for next-generation telecommunications systems,” Nat. Photonics 4, 690–695 (2010).
[CrossRef]

Okubo, R.

Y. Zhang, T. Furuta, R. Okubo, K. Takahashi, and T. Hirano, “Experimental generation of broadband quadrature entanglement using laser pulses,” Phys. Rev. A 76, 012314 (2007).
[CrossRef]

Pant, R.

Paquot, Y.

Parmigiani, F.

M. A. Ettabib, F. Parmigiani, X. Feng, L. Jones, J. Kakande, R. Slavík, F. Poletti, G. M. Ponzo, J. Shi, M. N. Petrovich, W. H. Loh, P. Petropoulos, and D. J. Richardson, “Phase regeneration of DPSK signals in a highly nonlinear lead-silicate W-type fiber,” Opt. Express 20, 27419–27424 (2012).
[CrossRef]

J. Kakande, C. Lundström, P. A. Andrekson, Z. Tong, M. Karlsson, P. Petropoulos, F. Parmigiani, and D. J. Richardson, “Detailed characterisation of a fiber-optic parametric amplifier in phase-sensitive and phase-insensitive operation,” Opt. Express 18, 4130–4137 (2010).
[CrossRef]

J. Kakande, F. Parmigiani, M. Ibsen, P. Petropoulos, and D. J. Richardson, “Wide bandwidth experimental study of nondegenerate phase-sensitive amplifiers in single-and dual-pump configurations,” IEEE Photon. Technol. Lett. 22, 1781–1783 (2010).
[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, “All-optical phase and amplitude regenerator for next-generation telecommunications systems,” Nat. Photonics 4, 690–695 (2010).
[CrossRef]

K. J. Lee, F. Parmigiani, S. Liu, J. Kakande, P. Petropoulos, K. Gallo, and D. Richardson, “Phase sensitive amplification based on quadratic cascading in a periodically poled lithium niobate waveguide,” Opt. Express 17, 20393–20400 (2009).
[CrossRef]

Petropoulos, P.

M. A. Ettabib, F. Parmigiani, X. Feng, L. Jones, J. Kakande, R. Slavík, F. Poletti, G. M. Ponzo, J. Shi, M. N. Petrovich, W. H. Loh, P. Petropoulos, and D. J. Richardson, “Phase regeneration of DPSK signals in a highly nonlinear lead-silicate W-type fiber,” Opt. Express 20, 27419–27424 (2012).
[CrossRef]

J. Kakande, C. Lundström, P. A. Andrekson, Z. Tong, M. Karlsson, P. Petropoulos, F. Parmigiani, and D. J. Richardson, “Detailed characterisation of a fiber-optic parametric amplifier in phase-sensitive and phase-insensitive operation,” Opt. Express 18, 4130–4137 (2010).
[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, “All-optical phase and amplitude regenerator for next-generation telecommunications systems,” Nat. Photonics 4, 690–695 (2010).
[CrossRef]

J. Kakande, F. Parmigiani, M. Ibsen, P. Petropoulos, and D. J. Richardson, “Wide bandwidth experimental study of nondegenerate phase-sensitive amplifiers in single-and dual-pump configurations,” IEEE Photon. Technol. Lett. 22, 1781–1783 (2010).
[CrossRef]

K. J. Lee, F. Parmigiani, S. Liu, J. Kakande, P. Petropoulos, K. Gallo, and D. Richardson, “Phase sensitive amplification based on quadratic cascading in a periodically poled lithium niobate waveguide,” Opt. Express 17, 20393–20400 (2009).
[CrossRef]

Petrovich, M. N.

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, “All-optical phase and amplitude regenerator for next-generation telecommunications systems,” Nat. Photonics 4, 690–695 (2010).
[CrossRef]

Poletti, F.

Ponzo, G. M.

Poulton, C. G.

Puttnam, B. J.

B. J. Puttnam, D. Mazroa, S. Shinada, and N. Wada, “Large phase sensitive gain in periodically poled lithium–niobate with high pump power,” IEEE Photon. Technol. Lett. 23, 426–428 (2011).
[CrossRef]

Radic, S.

Raymer, M.

Rey, I.

Y. Zhang, C. Husko, J. Schroder, S. Lefrancois, I. Rey, T. Krauss, and B. Eggleton, “Record 11  dB phase sensitive amplification in sub-millimeter silicon waveguides,” in Lasers and Electro-Optics Pacific Rim (IEEE, 2013), paper 1-2.

Richardson, D.

Richardson, D. J.

M. A. Ettabib, F. Parmigiani, X. Feng, L. Jones, J. Kakande, R. Slavík, F. Poletti, G. M. Ponzo, J. Shi, M. N. Petrovich, W. H. Loh, P. Petropoulos, and D. J. Richardson, “Phase regeneration of DPSK signals in a highly nonlinear lead-silicate W-type fiber,” Opt. Express 20, 27419–27424 (2012).
[CrossRef]

J. Kakande, C. Lundström, P. A. Andrekson, Z. Tong, M. Karlsson, P. Petropoulos, F. Parmigiani, and D. J. Richardson, “Detailed characterisation of a fiber-optic parametric amplifier in phase-sensitive and phase-insensitive operation,” Opt. Express 18, 4130–4137 (2010).
[CrossRef]

J. Kakande, F. Parmigiani, M. Ibsen, P. Petropoulos, and D. J. Richardson, “Wide bandwidth experimental study of nondegenerate phase-sensitive amplifiers in single-and dual-pump configurations,” IEEE Photon. Technol. Lett. 22, 1781–1783 (2010).
[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, “All-optical phase and amplitude regenerator for next-generation telecommunications systems,” Nat. Photonics 4, 690–695 (2010).
[CrossRef]

Richardson, K.

B. J. Eggleton, B. Luther-Davies, and K. Richardson, “Chalcogenide photonics,” Nat. Photonics 5, 141–148 (2011).

Rode, A.

D. Choi, S. Madden, D. Bulla, R. Wang, A. Rode, and B. Luther-Davies, “Submicrometer-thick low-loss As2S3 planar waveguides for nonlinear optical devices,” IEEE Photon. Technol. Lett. 22, 495–497 (2010).
[CrossRef]

Schmidt, B. S.

M. A. Foster, A. C. Turner, J. E. Sharping, B. S. Schmidt, M. Lipson, and A. L. Gaeta, “Broad-band optical parametric gain on a silicon photonic chip,” Nature 441, 960–963 (2006).
[CrossRef]

Schroder, J.

Y. Zhang, C. Husko, J. Schroder, S. Lefrancois, I. Rey, T. Krauss, and B. Eggleton, “Record 11  dB phase sensitive amplification in sub-millimeter silicon waveguides,” in Lasers and Electro-Optics Pacific Rim (IEEE, 2013), paper 1-2.

Schröder, J.

Shapiro, J. H.

Sharping, J. E.

M. A. Foster, A. C. Turner, J. E. Sharping, B. S. Schmidt, M. Lipson, and A. L. Gaeta, “Broad-band optical parametric gain on a silicon photonic chip,” Nature 441, 960–963 (2006).
[CrossRef]

Shi, J.

Shinada, S.

B. J. Puttnam, D. Mazroa, S. Shinada, and N. Wada, “Large phase sensitive gain in periodically poled lithium–niobate with high pump power,” IEEE Photon. Technol. Lett. 23, 426–428 (2011).
[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, “All-optical phase and amplitude regenerator for next-generation telecommunications systems,” Nat. Photonics 4, 690–695 (2010).
[CrossRef]

Slavík, R.

M. A. Ettabib, F. Parmigiani, X. Feng, L. Jones, J. Kakande, R. Slavík, F. Poletti, G. M. Ponzo, J. Shi, M. N. Petrovich, W. H. Loh, P. Petropoulos, and D. J. Richardson, “Phase regeneration of DPSK signals in a highly nonlinear lead-silicate W-type fiber,” Opt. Express 20, 27419–27424 (2012).
[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, “All-optical phase and amplitude regenerator for next-generation telecommunications systems,” Nat. Photonics 4, 690–695 (2010).
[CrossRef]

Stelmakh, N.

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, “All-optical phase and amplitude regenerator for next-generation telecommunications systems,” Nat. Photonics 4, 690–695 (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, “All-optical phase and amplitude regenerator for next-generation telecommunications systems,” Nat. Photonics 4, 690–695 (2010).
[CrossRef]

A. Bogris and D. Syvridis, “RZ-DPSK signal regeneration based on dual-pump phase-sensitive amplification in fibers,” IEEE Photon. Technol. Lett. 18, 2144–2146 (2006).
[CrossRef]

Tadanaga, O.

Takada, A.

T. Umeki, O. Tadanaga, A. Takada, and M. Asobe, “Phase sensitive degenerate parametric amplification using directly-bonded PPLN ridge waveguides,” Opt. Express 19, 6326–6332 (2011).
[CrossRef]

W. Imajuku, A. Takada, and Y. Yamabayashi, “Low-noise amplification under the 3  dB noise figure in high-gain phase-sensitive fibre amplifier,” Electron. Lett. 35, 1954–1955 (1999).
[CrossRef]

Takahashi, K.

Y. Zhang, T. Furuta, R. Okubo, K. Takahashi, and T. Hirano, “Experimental generation of broadband quadrature entanglement using laser pulses,” Phys. Rev. A 76, 012314 (2007).
[CrossRef]

Takara, H.

Takenouchi, H.

Tang, R.

Thevenaz, L.

Tong, Z.

Turner, A. C.

M. A. Foster, A. C. Turner, J. E. Sharping, B. S. Schmidt, M. Lipson, and A. L. Gaeta, “Broad-band optical parametric gain on a silicon photonic chip,” Nature 441, 960–963 (2006).
[CrossRef]

Umeki, T.

Vasilyev, M.

Voss, P. L.

Wada, N.

B. J. Puttnam, D. Mazroa, S. Shinada, and N. Wada, “Large phase sensitive gain in periodically poled lithium–niobate with high pump power,” IEEE Photon. Technol. Lett. 23, 426–428 (2011).
[CrossRef]

Wang, R.

D. Choi, S. Madden, D. Bulla, R. Wang, A. Rode, and B. Luther-Davies, “Submicrometer-thick low-loss As2S3 planar waveguides for nonlinear optical devices,” IEEE Photon. Technol. Lett. 22, 495–497 (2010).
[CrossRef]

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, “All-optical phase and amplitude regenerator for next-generation telecommunications systems,” Nat. Photonics 4, 690–695 (2010).
[CrossRef]

Wiberg, A. O.

Yamabayashi, Y.

W. Imajuku, A. Takada, and Y. Yamabayashi, “Low-noise amplification under the 3  dB noise figure in high-gain phase-sensitive fibre amplifier,” Electron. Lett. 35, 1954–1955 (1999).
[CrossRef]

Yu, M.

Zhang, Y.

Y. Zhang, T. Furuta, R. Okubo, K. Takahashi, and T. Hirano, “Experimental generation of broadband quadrature entanglement using laser pulses,” Phys. Rev. A 76, 012314 (2007).
[CrossRef]

Y. Zhang, C. Husko, J. Schroder, S. Lefrancois, I. Rey, T. Krauss, and B. Eggleton, “Record 11  dB phase sensitive amplification in sub-millimeter silicon waveguides,” in Lasers and Electro-Optics Pacific Rim (IEEE, 2013), paper 1-2.

Electron. Lett. (1)

W. Imajuku, A. Takada, and Y. Yamabayashi, “Low-noise amplification under the 3  dB noise figure in high-gain phase-sensitive fibre amplifier,” Electron. Lett. 35, 1954–1955 (1999).
[CrossRef]

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

Z. Tong, C. Lundstrom, P. A. Andrekson, M. Karlsson, and A. Bogris, “Ultralow noise, broadband phase-sensitive optical amplifiers, and their applications,” IEEE J. Sel. Top. Quantum Electron. 18, 1016–1032 (2012).
[CrossRef]

IEEE Photon. Technol. Lett. (4)

A. Bogris and D. Syvridis, “RZ-DPSK signal regeneration based on dual-pump phase-sensitive amplification in fibers,” IEEE Photon. Technol. Lett. 18, 2144–2146 (2006).
[CrossRef]

D. Choi, S. Madden, D. Bulla, R. Wang, A. Rode, and B. Luther-Davies, “Submicrometer-thick low-loss As2S3 planar waveguides for nonlinear optical devices,” IEEE Photon. Technol. Lett. 22, 495–497 (2010).
[CrossRef]

J. Kakande, F. Parmigiani, M. Ibsen, P. Petropoulos, and D. J. Richardson, “Wide bandwidth experimental study of nondegenerate phase-sensitive amplifiers in single-and dual-pump configurations,” IEEE Photon. Technol. Lett. 22, 1781–1783 (2010).
[CrossRef]

B. J. Puttnam, D. Mazroa, S. Shinada, and N. Wada, “Large phase sensitive gain in periodically poled lithium–niobate with high pump power,” IEEE Photon. Technol. Lett. 23, 426–428 (2011).
[CrossRef]

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

Nat. Photonics (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, “All-optical phase and amplitude regenerator for next-generation telecommunications systems,” Nat. Photonics 4, 690–695 (2010).
[CrossRef]

B. J. Eggleton, B. Luther-Davies, and K. Richardson, “Chalcogenide photonics,” Nat. Photonics 5, 141–148 (2011).

Nature (1)

M. A. Foster, A. C. Turner, J. E. Sharping, B. S. Schmidt, M. Lipson, and A. L. Gaeta, “Broad-band optical parametric gain on a silicon photonic chip,” Nature 441, 960–963 (2006).
[CrossRef]

Opt. Express (16)

C. McKinstrie and S. Radic, “Phase-sensitive amplification in a fiber,” Opt. Express 12, 4973–4979 (2004).
[CrossRef]

C. McKinstrie, M. Yu, M. Raymer, and S. Radic, “Quantum noise properties of parametric processes,” Opt. Express 13, 4986–5012 (2005).
[CrossRef]

M. Vasilyev, “Distributed phase-sensitive amplification,” Opt. Express 13, 7563–7571 (2005).
[CrossRef]

R. Tang, J. Lasri, P. S. Devgan, V. Grigoryan, P. Kumar, and M. Vasilyev, “Gain characteristics of a frequency nondegenerate phase-sensitive fiber-optic parametric amplifier with phase self-stabilized input,” Opt. Express 13, 10483–10493 (2005).
[CrossRef]

T. Umeki, O. Tadanaga, A. Takada, and M. Asobe, “Phase sensitive degenerate parametric amplification using directly-bonded PPLN ridge waveguides,” Opt. Express 19, 6326–6332 (2011).
[CrossRef]

R. Pant, C. G. Poulton, D.-Y. Choi, H. Mcfarlane, S. Hile, E. Li, L. Thevenaz, B. Luther-Davies, S. J. Madden, and B. J. Eggleton, “On-chip stimulated Brillouin scattering,” Opt. Express 19, 8285–8290 (2011).
[CrossRef]

M. R. Lamont, C. M. de Sterke, and B. J. Eggleton, “Dispersion engineering of highly nonlinear As2S3 waveguides for parametric gain and wavelength conversion,” Opt. Express 15, 9458–9463 (2007).
[CrossRef]

M. R. Lamont, B. Luther-Davies, D.-Y. Choi, S. Madden, X. Gai, and B. J. Eggleton, “Net-gain from a parametric amplifier on a chalcogenide optical chip,” Opt. Express 16, 20374–20381 (2008).
[CrossRef]

M. Vasilyev, N. Stelmakh, and P. Kumar, “Phase-sensitive image amplification with elliptical gaussian pump,” Opt. Express 17, 11415–11425 (2009).
[CrossRef]

K. J. Lee, F. Parmigiani, S. Liu, J. Kakande, P. Petropoulos, K. Gallo, and D. Richardson, “Phase sensitive amplification based on quadratic cascading in a periodically poled lithium niobate waveguide,” Opt. Express 17, 20393–20400 (2009).
[CrossRef]

J. Kakande, C. Lundström, P. A. Andrekson, Z. Tong, M. Karlsson, P. Petropoulos, F. Parmigiani, and D. J. Richardson, “Detailed characterisation of a fiber-optic parametric amplifier in phase-sensitive and phase-insensitive operation,” Opt. Express 18, 4130–4137 (2010).
[CrossRef]

Z. Tong, A. O. Wiberg, E. Myslivets, B. P. Kuo, N. Alic, and S. Radic, “Broadband parametric multicasting via four-mode phase-sensitive interaction,” Opt. Express 20, 19363–19373 (2012).
[CrossRef]

C. Lundström, B. Corcoran, M. Karlsson, and P. Andrekson, “Phase and amplitude characteristics of a phase-sensitive amplifier operating in gain saturation,” Opt. Express 20, 21400–21412 (2012).
[CrossRef]

M. A. Ettabib, F. Parmigiani, X. Feng, L. Jones, J. Kakande, R. Slavík, F. Poletti, G. M. Ponzo, J. Shi, M. N. Petrovich, W. H. Loh, P. Petropoulos, and D. J. Richardson, “Phase regeneration of DPSK signals in a highly nonlinear lead-silicate W-type fiber,” Opt. Express 20, 27419–27424 (2012).
[CrossRef]

R. Neo, J. Schröder, Y. Paquot, D.-Y. Choi, S. Madden, B. Luther-Davies, and B. J. Eggleton, “Phase-sensitive amplification of light in a χ(3) photonic chip using a dispersion engineered chalcogenide ridge waveguide,” Opt. Express 21, 7926–7933 (2013).
[CrossRef]

T. Umeki, M. Asobe, H. Takara, Y. Miyamoto, and H. Takenouchi, “Multi-span transmission using phase and amplitude regeneration in PPLN-based PSA,” Opt. Express 21, 18170–18177 (2013).
[CrossRef]

Opt. Lett. (3)

Phys. Rev. A (1)

Y. Zhang, T. Furuta, R. Okubo, K. Takahashi, and T. Hirano, “Experimental generation of broadband quadrature entanglement using laser pulses,” Phys. Rev. A 76, 012314 (2007).
[CrossRef]

Phys. Rev. D (1)

C. M. Caves, “Quantum limits on noise in linear amplifiers,” Phys. Rev. D 26, 1817–1839 (1982).
[CrossRef]

Other (5)

A. Dutt, K. Luke, S. Manipatruni, P. A. Nussenzveig, A. L. Gaeta, and M. Lipson, “Demonstration of squeezing on chip,” in CLEO: QELS_Fundamental Science (Optical Society of America, 2013), paper QTh5B.

M. Vasilyev, “Phase-sensitive amplification in optical fibers,” in Frontiers in Optics (Optical Society of America, 2005), paper FThB1.

Y. Zhang, C. Husko, J. Schroder, S. Lefrancois, I. Rey, T. Krauss, and B. Eggleton, “Record 11  dB phase sensitive amplification in sub-millimeter silicon waveguides,” in Lasers and Electro-Optics Pacific Rim (IEEE, 2013), paper 1-2.

M. E. Marhic, Fiber Optical Parametric Amplifiers, Oscillators and Related Devices (Cambridge University, 2008).

G. P. Agrawal, Nonlinear Fiber Optics (Academic, 2007).

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Figures (8)

Fig. 1.
Fig. 1.

(a) The principle of pump-degenerate PSA based on FWM. (b) Intensity transfer function: output intensity of the signal with respect to the input phase detuning. (c) Phase-transfer function: the output phase of the signal as a function of the input phase. (d) The PSA squeezes the output phase of the input signal.

Fig. 2.
Fig. 2.

(a) Experimental setup for pump-degenerate PSA, symbols are defined in the text. (b) Material dispersion (dashed) and total (material + geometry) engineered dispersion of the chalcogenide waveguide (solid). (c) Waveguide cross-section schematic and fundamental quasi-TM mode calculated using RSoft FemSIM.

Fig. 3.
Fig. 3.

Spectra of the input signal/idler (light), measured (dashed), and NLSE simulated (bold) output spectra with respect to different input phases.

Fig. 4.
Fig. 4.

Experimental gains for the signal (dot) and the idler (triangle) and simulated gain (solid) versus input phase detuning at a peak power of 6.7 W.

Fig. 5.
Fig. 5.

(a) Measured (markers) and simulated (light lines) maximum and minimum gain of the signal as a function of the pump peak power. The solid and dashed curves are calculated from Eq. (2) with α=0dB/cm and α=0.5dB/cm, respectively. The asymmetry in the gain curves is due to the loss. (b) Measured (markers) and NLSE (solid lines) gain curves versus phase detuning for three pump power levels in (a).

Fig. 6.
Fig. 6.

Experimentally observed (dot), quadratic fit (light line), analytically (dashed line), and numerically (solid line) calculated position of the minimum gain versus pump peak power.

Fig. 7.
Fig. 7.

Maximum gain (Gmax) (dot), minimum gain (Gmin) (square), and phase ER (triangle) as a function of detuning for a pump power of 6 W.

Fig. 8.
Fig. 8.

Phase-transfer function for different gain curves at three power levels. Experimental data (markers) and analytical phase (solid curves) calculated through taking the output phase from Eqs. (9) and (2), respectively.

Tables (1)

Tables Icon

Table 1. Simulation Parameters for the Chalcogenide Waveguide

Equations (10)

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

Ep=P0exp(αL)exp(iγP0Leff),
Γ=sinh(gL)(coth(gL)+ik+iα2g)exp(iΔϕ+αL2)+isinh(gL)gγP0exp(iΔϕαL2).
G=|Γ|2=cosh(2γP0L)×[1+tanh(2γP0L)sin(2Δϕ)],
GmaxG(Δϕ=π4)=exp(2γP0L),GminG(Δϕ=π4)=exp(2γP0L).
ϕout=tan1[tan(Δϕ/2)+tanh(2γP0L)1+tan(Δϕ/2)tanh(2γP0L)].
G=cosh(2γP0L)×[1+tanh(2γP0L)sin(2(Δϕ+π/4))]=cosh(2γP0L)×[1+tanh(2γP0L)]cosϕin2+cosh(2γP0L)×[1tanh(2γP0L)]sinϕin2=Gmaxcosϕin2+Gminsinϕin2,
G=AoutAin=(AincosϕinGmax)2+(AinsinϕinGmin)2Ain.
tan2ϕin=GGmaxGminG.
tan2ϕout=(GminGmax)GGmaxGminG.
E(z,t)z=iγ|E(z,t)|2α2E(z,t)m=1(i)m1βmm!mtmE(z,t),

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