Abstract

This paper describes a numerical simulation of narrow band parametric amplification in dispersion engineered photonic crystal waveguides. The waveguides we analyze exhibit group velocity dispersion functions which cross zero twice thereby enabling many interesting pumping schemes. We analyze the case of two pulsed pumps each placed near one of the zero dispersion wavelengths. These configurations are compared to conventional single pump schemes. The two pumps may induce phase matching conditions in the same spectral location enabling to control the gain spectrum. This is used to study the gain and fidelity of 40Gbps NRZ data signals.

© 2013 OSA

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    [CrossRef] [PubMed]
  2. J. W. Li, T. P. O’Faolain, L. Gomez-Iglesias, A. Krauss, and T. F, “Systematic design of flat band slow light in photonic crystal waveguides,” Opt. Express16, 6227–6232 (2008).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  5. N. A. R. Bhat and J. E. Sipe, “Optical pulse propagation in nonlinear photonic crystals,” Phys. Rev. E64, 056604 (2001).
    [CrossRef]
  6. A. S. Y. Hseih, G. K. L. Wong, S. G. Murdoch, S. Coen, F. Vanholsbeeck, R. Leonhardt, and J. D. Harvey, “Combined effect of kerr and raman nonlinearities on single-pump optical parametric amplifiers,” in Proceedings of the 33rd European Conference and Ehxibition of Optical Communication (Berlin, Germany, 2007) 1–2.
  7. M. Santagiustina, C. G. Someda, G. Vadala, S. Combrié, and A. D. Rossi, “Theory of slow light enhanced four-wave mixing in photonic crystal waveguides,” Opt. Express18, 21024–21029 (2010).
    [CrossRef] [PubMed]
  8. B. Corcoran, C. Monat, M. Pelusi, C. Grillet, T. P. White, L. OFaolain, T. F. Krauss, B. J. Eggleton, and D. J. Moss, “Optical signal processing on a silicon chip at 640Gb/s using slow-light,” Opt. Express18, 7770–7781 (2010).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  11. P. Colman, S. Combrié, G. Lehoucq, and A. De Rossi, “Control of dispersion in photonic crystal waveguides using group symmetry theory,” Opt. Express20, 13108–13114 (2012).
    [CrossRef] [PubMed]
  12. S. Roy, M. Santagiustina, P. Colman, S. Combrié, and A. De Rossi, “Modeling the dispersion of the nonlinearity in slow mode photonic crystal waveguides,” Photonics Journal4, 224–233 (2012).
    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  15. D. Dahan and G. Eisenstein, “Tunable all optical delay via slow and fast light propagation in a raman assisted fiber optical parametric amplifier: a route to all optical buffering,” Opt. Express13, 6234–6249 (2005).
    [CrossRef] [PubMed]
  16. E. Shumakher, A. Willinger, R. Blit, D. Dahan, and G. Eisenstein, “Large tunable delay with low distortion of 10 gbit/s data in a slow light system based onnarrow band fiber parametric amplification,” Opt. Express14, 8540–8545 (2006).
    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]

2013

2012

2011

2010

2009

2008

2007

2006

2005

2003

2001

N. A. R. Bhat and J. E. Sipe, “Optical pulse propagation in nonlinear photonic crystals,” Phys. Rev. E64, 056604 (2001).
[CrossRef]

1990

Agrawal, G.

G. Agrawal, Nonlinear Fiber Optics (Academic Press, 2001).

Baba, T.

Bhat, N. A. R.

N. A. R. Bhat and J. E. Sipe, “Optical pulse propagation in nonlinear photonic crystals,” Phys. Rev. E64, 056604 (2001).
[CrossRef]

Blit, R.

Borel, P. I.

Cestier, I.

Chernikov, S. V.

Coen, S.

A. S. Y. Hseih, G. K. L. Wong, S. G. Murdoch, S. Coen, F. Vanholsbeeck, R. Leonhardt, and J. D. Harvey, “Combined effect of kerr and raman nonlinearities on single-pump optical parametric amplifiers,” in Proceedings of the 33rd European Conference and Ehxibition of Optical Communication (Berlin, Germany, 2007) 1–2.

Colman, P.

Combrié, S.

A. Willinger, S. Roy, M. Santagiustina, S. Combrié, A. D. Rossi, I. Cestier, and G. Eisenstein, “Parametric gain in dispersion engineered photonic crystal waveguides,” Opt. Express21, 4995–5004 (2013).
[CrossRef] [PubMed]

S. Roy, M. Santagiustina, P. Colman, S. Combrié, and A. De Rossi, “Modeling the dispersion of the nonlinearity in slow mode photonic crystal waveguides,” Photonics Journal4, 224–233 (2012).
[CrossRef]

P. Colman, S. Combrié, G. Lehoucq, and A. De Rossi, “Control of dispersion in photonic crystal waveguides using group symmetry theory,” Opt. Express20, 13108–13114 (2012).
[CrossRef] [PubMed]

S. Roy, A. Willinger, S. Combrié, A. D. Rossi, G. Eisenstein, and M. Santagiustina, “Narrowband optical parametric gain in slow mode engineered GaInP photonic crystal waveguides,” Opt. Lett.37, 2919–2921 (2012).
[CrossRef] [PubMed]

I. Cestier, S. Combrié, S. Xavier, G. Lehoucq, A. D. Rossi, and G. Eisenstein, “Chip-scale parametric amplifier with 11db gain at 1550nm based on a slow-light gainp photonic crystal waveguide,” Opt. Lett.37, 3996–3998 (2012).
[CrossRef] [PubMed]

I. Cestier, A. Willinger, V. Eckhouse, G. Eisenstein, S. Combrié, P. Colman, G. Lehoucq, and A. D. Rossi, “Time domain switching / demultiplexing using four wave mixing in gainp photonic crystal waveguides,” Opt. Express19, 6093–6099 (2011).
[CrossRef] [PubMed]

M. Santagiustina, C. G. Someda, G. Vadala, S. Combrié, and A. D. Rossi, “Theory of slow light enhanced four-wave mixing in photonic crystal waveguides,” Opt. Express18, 21024–21029 (2010).
[CrossRef] [PubMed]

Corcoran, B.

Dahan, D.

De Rossi, A.

P. Colman, S. Combrié, G. Lehoucq, and A. De Rossi, “Control of dispersion in photonic crystal waveguides using group symmetry theory,” Opt. Express20, 13108–13114 (2012).
[CrossRef] [PubMed]

S. Roy, M. Santagiustina, P. Colman, S. Combrié, and A. De Rossi, “Modeling the dispersion of the nonlinearity in slow mode photonic crystal waveguides,” Photonics Journal4, 224–233 (2012).
[CrossRef]

Eckhouse, V.

Eggleton, B. J.

Eisenstein, G.

A. Willinger, S. Roy, M. Santagiustina, S. Combrié, A. D. Rossi, I. Cestier, and G. Eisenstein, “Parametric gain in dispersion engineered photonic crystal waveguides,” Opt. Express21, 4995–5004 (2013).
[CrossRef] [PubMed]

A. Willinger and G. Eisenstein, “Split step fourier transform: A comparison between single and multiple envelope formalisms,” J. Lightwave Technol.30, 2988–2994 (2012).
[CrossRef]

S. Roy, A. Willinger, S. Combrié, A. D. Rossi, G. Eisenstein, and M. Santagiustina, “Narrowband optical parametric gain in slow mode engineered GaInP photonic crystal waveguides,” Opt. Lett.37, 2919–2921 (2012).
[CrossRef] [PubMed]

I. Cestier, S. Combrié, S. Xavier, G. Lehoucq, A. D. Rossi, and G. Eisenstein, “Chip-scale parametric amplifier with 11db gain at 1550nm based on a slow-light gainp photonic crystal waveguide,” Opt. Lett.37, 3996–3998 (2012).
[CrossRef] [PubMed]

I. Cestier, A. Willinger, V. Eckhouse, G. Eisenstein, S. Combrié, P. Colman, G. Lehoucq, and A. D. Rossi, “Time domain switching / demultiplexing using four wave mixing in gainp photonic crystal waveguides,” Opt. Express19, 6093–6099 (2011).
[CrossRef] [PubMed]

A. Gershikov, E. Shumakher, A. Willinger, and G. Eisenstein, “Fiber parametric oscillator for the 2 μm wavelength range based on narrowband optical parametric amplification,” Opt. Lett.35, 3198–3200 (2010).
[CrossRef] [PubMed]

A. Willinger, E. Shumakher, and G. Eisenstein, “On the roles of polarization and raman-assisted phase matching in narrowband fiber parametric amplifiers,” J. Lightwave Technol.26, 2260–2268 (2008).
[CrossRef]

E. Shumakher, A. Willinger, R. Blit, D. Dahan, and G. Eisenstein, “Large tunable delay with low distortion of 10 gbit/s data in a slow light system based onnarrow band fiber parametric amplification,” Opt. Express14, 8540–8545 (2006).
[CrossRef] [PubMed]

D. Dahan and G. Eisenstein, “Tunable all optical delay via slow and fast light propagation in a raman assisted fiber optical parametric amplifier: a route to all optical buffering,” Opt. Express13, 6234–6249 (2005).
[CrossRef] [PubMed]

F, T.

Fage-Pedersen, J.

Frandsen, L. H.

Gershikov, A.

Gomez-Iglesias, L.

Grillet, C.

Hama, Y.

Hamachi, Y.

Harvey, J. D.

G. K. L. Wong, S. G. Murdoch, R. Leonhardt, J. D. Harvey, and V. Marie, “High-conversion-efficiency widely-tunable all-fiber optical parametric oscillator,” Opt. Express15, 2947–2952 (2007).
[CrossRef] [PubMed]

A. S. Y. Hseih, G. K. L. Wong, S. G. Murdoch, S. Coen, F. Vanholsbeeck, R. Leonhardt, and J. D. Harvey, “Combined effect of kerr and raman nonlinearities on single-pump optical parametric amplifiers,” in Proceedings of the 33rd European Conference and Ehxibition of Optical Communication (Berlin, Germany, 2007) 1–2.

Holzlohner, R.

Hseih, A. S. Y.

A. S. Y. Hseih, G. K. L. Wong, S. G. Murdoch, S. Coen, F. Vanholsbeeck, R. Leonhardt, and J. D. Harvey, “Combined effect of kerr and raman nonlinearities on single-pump optical parametric amplifiers,” in Proceedings of the 33rd European Conference and Ehxibition of Optical Communication (Berlin, Germany, 2007) 1–2.

Ishikura, N.

Krauss, A.

Krauss, T. F.

Kubo, S.

Lavrinenko, A. V.

Lehoucq, G.

Leonhardt, R.

G. K. L. Wong, S. G. Murdoch, R. Leonhardt, J. D. Harvey, and V. Marie, “High-conversion-efficiency widely-tunable all-fiber optical parametric oscillator,” Opt. Express15, 2947–2952 (2007).
[CrossRef] [PubMed]

A. S. Y. Hseih, G. K. L. Wong, S. G. Murdoch, S. Coen, F. Vanholsbeeck, R. Leonhardt, and J. D. Harvey, “Combined effect of kerr and raman nonlinearities on single-pump optical parametric amplifiers,” in Proceedings of the 33rd European Conference and Ehxibition of Optical Communication (Berlin, Germany, 2007) 1–2.

Li, J. W.

Mamyshev, P. V.

Marie, V.

Menyuk, C.

Monat, C.

Moss, D. J.

Murdoch, S. G.

G. K. L. Wong, S. G. Murdoch, R. Leonhardt, J. D. Harvey, and V. Marie, “High-conversion-efficiency widely-tunable all-fiber optical parametric oscillator,” Opt. Express15, 2947–2952 (2007).
[CrossRef] [PubMed]

A. S. Y. Hseih, G. K. L. Wong, S. G. Murdoch, S. Coen, F. Vanholsbeeck, R. Leonhardt, and J. D. Harvey, “Combined effect of kerr and raman nonlinearities on single-pump optical parametric amplifiers,” in Proceedings of the 33rd European Conference and Ehxibition of Optical Communication (Berlin, Germany, 2007) 1–2.

O’Faolain, T. P.

OFaolain, L.

Pelusi, M.

Rossi, A. D.

Roy, S.

Santagiustina, M.

Shinkawa, M.

Shumakher, E.

Sinkin, O.

Sipe, J. E.

N. A. R. Bhat and J. E. Sipe, “Optical pulse propagation in nonlinear photonic crystals,” Phys. Rev. E64, 056604 (2001).
[CrossRef]

Someda, C. G.

Suzuki, K.

Vadala, G.

Vanholsbeeck, F.

A. S. Y. Hseih, G. K. L. Wong, S. G. Murdoch, S. Coen, F. Vanholsbeeck, R. Leonhardt, and J. D. Harvey, “Combined effect of kerr and raman nonlinearities on single-pump optical parametric amplifiers,” in Proceedings of the 33rd European Conference and Ehxibition of Optical Communication (Berlin, Germany, 2007) 1–2.

White, T. P.

Willinger, A.

A. Willinger, S. Roy, M. Santagiustina, S. Combrié, A. D. Rossi, I. Cestier, and G. Eisenstein, “Parametric gain in dispersion engineered photonic crystal waveguides,” Opt. Express21, 4995–5004 (2013).
[CrossRef] [PubMed]

A. Willinger and G. Eisenstein, “Split step fourier transform: A comparison between single and multiple envelope formalisms,” J. Lightwave Technol.30, 2988–2994 (2012).
[CrossRef]

S. Roy, A. Willinger, S. Combrié, A. D. Rossi, G. Eisenstein, and M. Santagiustina, “Narrowband optical parametric gain in slow mode engineered GaInP photonic crystal waveguides,” Opt. Lett.37, 2919–2921 (2012).
[CrossRef] [PubMed]

I. Cestier, A. Willinger, V. Eckhouse, G. Eisenstein, S. Combrié, P. Colman, G. Lehoucq, and A. D. Rossi, “Time domain switching / demultiplexing using four wave mixing in gainp photonic crystal waveguides,” Opt. Express19, 6093–6099 (2011).
[CrossRef] [PubMed]

A. Gershikov, E. Shumakher, A. Willinger, and G. Eisenstein, “Fiber parametric oscillator for the 2 μm wavelength range based on narrowband optical parametric amplification,” Opt. Lett.35, 3198–3200 (2010).
[CrossRef] [PubMed]

A. Willinger, E. Shumakher, and G. Eisenstein, “On the roles of polarization and raman-assisted phase matching in narrowband fiber parametric amplifiers,” J. Lightwave Technol.26, 2260–2268 (2008).
[CrossRef]

E. Shumakher, A. Willinger, R. Blit, D. Dahan, and G. Eisenstein, “Large tunable delay with low distortion of 10 gbit/s data in a slow light system based onnarrow band fiber parametric amplification,” Opt. Express14, 8540–8545 (2006).
[CrossRef] [PubMed]

Wong, G. K. L.

G. K. L. Wong, S. G. Murdoch, R. Leonhardt, J. D. Harvey, and V. Marie, “High-conversion-efficiency widely-tunable all-fiber optical parametric oscillator,” Opt. Express15, 2947–2952 (2007).
[CrossRef] [PubMed]

A. S. Y. Hseih, G. K. L. Wong, S. G. Murdoch, S. Coen, F. Vanholsbeeck, R. Leonhardt, and J. D. Harvey, “Combined effect of kerr and raman nonlinearities on single-pump optical parametric amplifiers,” in Proceedings of the 33rd European Conference and Ehxibition of Optical Communication (Berlin, Germany, 2007) 1–2.

Xavier, S.

Zweck, J.

J. Lightwave Technol.

Opt. Express

A. Willinger, S. Roy, M. Santagiustina, S. Combrié, A. D. Rossi, I. Cestier, and G. Eisenstein, “Parametric gain in dispersion engineered photonic crystal waveguides,” Opt. Express21, 4995–5004 (2013).
[CrossRef] [PubMed]

B. Corcoran, C. Monat, M. Pelusi, C. Grillet, T. P. White, L. OFaolain, T. F. Krauss, B. J. Eggleton, and D. J. Moss, “Optical signal processing on a silicon chip at 640Gb/s using slow-light,” Opt. Express18, 7770–7781 (2010).
[CrossRef] [PubMed]

M. Santagiustina, C. G. Someda, G. Vadala, S. Combrié, and A. D. Rossi, “Theory of slow light enhanced four-wave mixing in photonic crystal waveguides,” Opt. Express18, 21024–21029 (2010).
[CrossRef] [PubMed]

I. Cestier, A. Willinger, V. Eckhouse, G. Eisenstein, S. Combrié, P. Colman, G. Lehoucq, and A. D. Rossi, “Time domain switching / demultiplexing using four wave mixing in gainp photonic crystal waveguides,” Opt. Express19, 6093–6099 (2011).
[CrossRef] [PubMed]

M. Shinkawa, N. Ishikura, Y. Hama, K. Suzuki, and T. Baba, “Nonlinear enhancement in photonic crystal slow light waveguides fabricated using cmos-compatible process,” Opt. Express19, 22208–22218 (2011).
[CrossRef] [PubMed]

P. Colman, S. Combrié, G. Lehoucq, and A. De Rossi, “Control of dispersion in photonic crystal waveguides using group symmetry theory,” Opt. Express20, 13108–13114 (2012).
[CrossRef] [PubMed]

D. Dahan and G. Eisenstein, “Tunable all optical delay via slow and fast light propagation in a raman assisted fiber optical parametric amplifier: a route to all optical buffering,” Opt. Express13, 6234–6249 (2005).
[CrossRef] [PubMed]

E. Shumakher, A. Willinger, R. Blit, D. Dahan, and G. Eisenstein, “Large tunable delay with low distortion of 10 gbit/s data in a slow light system based onnarrow band fiber parametric amplification,” Opt. Express14, 8540–8545 (2006).
[CrossRef] [PubMed]

L. H. Frandsen, A. V. Lavrinenko, J. Fage-Pedersen, and P. I. Borel, “Photonic crystal waveguides with semi-slow light and tailored dispersion properties,” Opt. Express14, 9444–9450 (2006).
[CrossRef] [PubMed]

G. K. L. Wong, S. G. Murdoch, R. Leonhardt, J. D. Harvey, and V. Marie, “High-conversion-efficiency widely-tunable all-fiber optical parametric oscillator,” Opt. Express15, 2947–2952 (2007).
[CrossRef] [PubMed]

J. W. Li, T. P. O’Faolain, L. Gomez-Iglesias, A. Krauss, and T. F, “Systematic design of flat band slow light in photonic crystal waveguides,” Opt. Express16, 6227–6232 (2008).
[CrossRef] [PubMed]

Opt. Lett.

Photonics Journal

S. Roy, M. Santagiustina, P. Colman, S. Combrié, and A. De Rossi, “Modeling the dispersion of the nonlinearity in slow mode photonic crystal waveguides,” Photonics Journal4, 224–233 (2012).
[CrossRef]

Phys. Rev. E

N. A. R. Bhat and J. E. Sipe, “Optical pulse propagation in nonlinear photonic crystals,” Phys. Rev. E64, 056604 (2001).
[CrossRef]

Other

A. S. Y. Hseih, G. K. L. Wong, S. G. Murdoch, S. Coen, F. Vanholsbeeck, R. Leonhardt, and J. D. Harvey, “Combined effect of kerr and raman nonlinearities on single-pump optical parametric amplifiers,” in Proceedings of the 33rd European Conference and Ehxibition of Optical Communication (Berlin, Germany, 2007) 1–2.

G. Agrawal, Nonlinear Fiber Optics (Academic Press, 2001).

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