Abstract

A new two-pump fiber optical parametric amplifier (FOPA) is presented, which is composed of two-section high nonlinear fibers (HNLFs). Genetic algorithm (GA), a multivariate stochastic optimization algorithm is applied to optimize parameters of two fiber segments, such as the length and dispersion coefficient of fiber. A broadband FOPA with two-section HNLFs is obtained using optimum design parameters, which theoretically provides a uniform gain of 20.3 dB with 0.2-dB uniformity over a 346-nm bandwidth.

©2004 Optical Society of America

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References

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  2. F. Yaman, Q. Lin, S. Radic, and Govind P. Agrawal, “Impact of Dispersion Fluctuation on Dual-Pump Fiber-Optic Parametric Amplifiers,” IEEE Photon. Technol. Lett. 16, 1292–1294 (2004).
    [Crossref]
  3. Per Kylemark, Per Olof Hedekvist, Henrik Sunnerud, Magnus Karlsson, and Peter A. Andrekson, “Noise Characteristics of Fiber Optical Parametric Amplifiers,” IEEE J. Lightwave Technol. 22, 409–416 (2004).
    [Crossref]
  4. A. Mussot, A. Durécu-Legrand, E. Lantz, C. Simonneau, D. Bayart, H. Maillotte, and T. Sylvestre, “Impact of pump phase modulation on the gain of fiber optical parametric amplifier,” IEEE Photon. Technol. Lett. 16, 1289–1291 (2004).
    [Crossref]
  5. F. A. Callegari, J. M. Chavez Boggio, and H.L. Fragnito, “Spurious four-wave mixing in two-pump fiber-optic parametric amplifiers,” IEEE Photon. Technol. Lett. 16, 434–436 (2004).
    [Crossref]
  6. Jaeyoun Kim, Özdal Boyraz, Jin H. Lim, and Mohammed N. Islam, “Gain Enhancement in cascaded fiber parametric amplifier with quasi-phase matching: theory and experiment,” IEEE J. Lightwave Technol. 19, 247–251 (2001).
    [Crossref]
  7. Jonas Hansryd, Peter A. Andrekson, Mathias Westlund, Jie Li, and Per-Olof Hedekvist, “Fiber-Based Optical Parametric Amplifiers and Their Applications,” IEEE J. Sel. Top. Quantum Electron. 8, 506–520 (2002).
    [Crossref]
  8. Min-Chen Ho, Katsumi Uesaka, Michel Marhic, Youichi Akasaka, and Leonid G. Kazovsky, “200-nm-Bandwidth Fiber Optical Amplifier Combining Parametric and Raman Gain,” IEEE J. Lightwave Technol. 19, 977–980 (2001).
    [Crossref]
  9. L. Provino, A. Mussot, E. Lantz, T. Sylvestre, and H. Maillotte, “Broadband and flat parametric amplifiers using a multi-section dispersion-tailored nonlinear fiber arrangement,” J. Opt. Soc. Am. B 20, 1532–1537 (2003).
    [Crossref]
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    [Crossref]
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    [Crossref]
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    [Crossref]
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    [Crossref] [PubMed]
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    [Crossref]
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    [Crossref] [PubMed]
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    [Crossref] [PubMed]
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  23. T. Tanemura and K. Kikuchi, “Polarization-independent broad-band wavelength conversion using two-pump fiber optical parametric amplification without idler spectral broadening,” IEEE Photon. Technol. Lett. 15, 1573–1575 (2003).
    [Crossref]
  24. S. Radic, C. J. McKinstrie, R. M. Jopson, J. C. Centanni, Q. Lin, and G.P. Agrawal, “Record performance of parametric amplifier constructed with highly nonlinear fiber,” Electron. Lett. 39, 838–839 (2003).
    [Crossref]
  25. M. Karlsson, “Four-wave mixing in fibers with randomly varying zero-dispersion wavelength,” J. Opt. Soc. Am. B 15, 2269–2275 (1998).
    [Crossref]

2004 (7)

F. Yaman, Q. Lin, S. Radic, and Govind P. Agrawal, “Impact of Dispersion Fluctuation on Dual-Pump Fiber-Optic Parametric Amplifiers,” IEEE Photon. Technol. Lett. 16, 1292–1294 (2004).
[Crossref]

Per Kylemark, Per Olof Hedekvist, Henrik Sunnerud, Magnus Karlsson, and Peter A. Andrekson, “Noise Characteristics of Fiber Optical Parametric Amplifiers,” IEEE J. Lightwave Technol. 22, 409–416 (2004).
[Crossref]

A. Mussot, A. Durécu-Legrand, E. Lantz, C. Simonneau, D. Bayart, H. Maillotte, and T. Sylvestre, “Impact of pump phase modulation on the gain of fiber optical parametric amplifier,” IEEE Photon. Technol. Lett. 16, 1289–1291 (2004).
[Crossref]

F. A. Callegari, J. M. Chavez Boggio, and H.L. Fragnito, “Spurious four-wave mixing in two-pump fiber-optic parametric amplifiers,” IEEE Photon. Technol. Lett. 16, 434–436 (2004).
[Crossref]

Wen Zhang, Chengao Wang, Jianwei Su, Chun Jiang, and Weisheng Hu, “Design of fiber optical parametric amplifier,” IEEE Photon. Technol. Lett. 16, 1652–1654 (2004).
[Crossref]

Xueming Liu and Yanhe Li, “Efficient algorithm and optimization for broadband Raman amplifiers,” Opt. Express 12, 564–573 (2004), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-4-564.
[Crossref] [PubMed]

Huai Wei, Zhi Tong, and Shuisheng Jian, “Use of a genetic algorithm to optimize multistage erbium-doped fiber-amplifier systems with complex structures,” Opt. Express 12, 531–544 (2004), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-4-531.
[Crossref] [PubMed]

2003 (5)

Kenneth K. Y. Wong, Katsuhiro Shimizu, Katsumi Uesaka, Georgios Kalogerakis, Michel E. Marhic, and Leonid G. Kazovsky, “Continuous-Wave Fiber Optical Parametric Amplifier With 60-dB Gain Using a Novel Two-Segment Design,” IEEE Photon. Technol. Lett. 15, 1707–1709 (2003).
[Crossref]

S. Radic and C. J. Mckinstric, “Two-pump fiber parametric amplifiers,” Opt. Fiber. Technol. 9, 7–23 (2003).
[Crossref]

L. Provino, A. Mussot, E. Lantz, T. Sylvestre, and H. Maillotte, “Broadband and flat parametric amplifiers using a multi-section dispersion-tailored nonlinear fiber arrangement,” J. Opt. Soc. Am. B 20, 1532–1537 (2003).
[Crossref]

T. Tanemura and K. Kikuchi, “Polarization-independent broad-band wavelength conversion using two-pump fiber optical parametric amplification without idler spectral broadening,” IEEE Photon. Technol. Lett. 15, 1573–1575 (2003).
[Crossref]

S. Radic, C. J. McKinstrie, R. M. Jopson, J. C. Centanni, Q. Lin, and G.P. Agrawal, “Record performance of parametric amplifier constructed with highly nonlinear fiber,” Electron. Lett. 39, 838–839 (2003).
[Crossref]

2002 (4)

Jonas Hansryd, Peter A. Andrekson, Mathias Westlund, Jie Li, and Per-Olof Hedekvist, “Fiber-Based Optical Parametric Amplifiers and Their Applications,” IEEE J. Sel. Top. Quantum Electron. 8, 506–520 (2002).
[Crossref]

Min-Chen Ho, Michel E. Marhic, K. Y. Kenneth Wong, and Leonid G. Kazovsky, “Narrow-Linewidth Idler Generation in Fiber Four-Wave Mixing and Parametric Amplification by Dithering Two Pumps in Opposition of Phase,” IEEE J. Lightwave Technol. 20, 469–476 (2002).
[Crossref]

Kenneth K. Y. Wong, Michel E. Marhic, Katsumi Uesaka, and Leonid G. Kazovsky, “Polarization-independent two-pump fiber optical parametric amplifier,” IEEE Photon. Technol. Lett. 14, 911–913 (2002).
[Crossref]

C. J. Mckinstric, S. Radic, and A. R. Chraplyvy, “Parametric Amplifier Driven by Two Pump Waves,” IEEE J. Sel. Top. Quantum Electron. 8, 538–547 (2002).
[Crossref]

2001 (2)

Min-Chen Ho, Katsumi Uesaka, Michel Marhic, Youichi Akasaka, and Leonid G. Kazovsky, “200-nm-Bandwidth Fiber Optical Amplifier Combining Parametric and Raman Gain,” IEEE J. Lightwave Technol. 19, 977–980 (2001).
[Crossref]

Jaeyoun Kim, Özdal Boyraz, Jin H. Lim, and Mohammed N. Islam, “Gain Enhancement in cascaded fiber parametric amplifier with quasi-phase matching: theory and experiment,” IEEE J. Lightwave Technol. 19, 247–251 (2001).
[Crossref]

1999 (1)

Michel E. Marhic, Frank S. Yang, Min-Chen Ho, and Leonid G. Kazovsky, “High-Nonlinearity Fiber Optical Parametric Amplifier with Periodic Dispersion Compensation,” IEEE J. Lightwave Technol. 17, 210–215 (1999).
[Crossref]

1998 (1)

1996 (2)

1982 (1)

Roger H. Stolen and John E. Bjorkholm, “Parametric Amplification and Frequency Conversion in Optical Fibers,” IEEE J. Quantum Electron. QE-18, 1062–1071 (1982).
[Crossref]

Agrawal, G.P.

S. Radic, C. J. McKinstrie, R. M. Jopson, J. C. Centanni, Q. Lin, and G.P. Agrawal, “Record performance of parametric amplifier constructed with highly nonlinear fiber,” Electron. Lett. 39, 838–839 (2003).
[Crossref]

Agrawal, Govind P.

F. Yaman, Q. Lin, S. Radic, and Govind P. Agrawal, “Impact of Dispersion Fluctuation on Dual-Pump Fiber-Optic Parametric Amplifiers,” IEEE Photon. Technol. Lett. 16, 1292–1294 (2004).
[Crossref]

Govind P. Agrawal, Nonlinear Fiber Optics, Third Edition & Applications of Nonlinear Fiber Optics (Beijing: Publishing House of Electronics Industry, 2002), Chap.10.

Akasaka, Youichi

Min-Chen Ho, Katsumi Uesaka, Michel Marhic, Youichi Akasaka, and Leonid G. Kazovsky, “200-nm-Bandwidth Fiber Optical Amplifier Combining Parametric and Raman Gain,” IEEE J. Lightwave Technol. 19, 977–980 (2001).
[Crossref]

Andrekson, Peter A.

Per Kylemark, Per Olof Hedekvist, Henrik Sunnerud, Magnus Karlsson, and Peter A. Andrekson, “Noise Characteristics of Fiber Optical Parametric Amplifiers,” IEEE J. Lightwave Technol. 22, 409–416 (2004).
[Crossref]

Jonas Hansryd, Peter A. Andrekson, Mathias Westlund, Jie Li, and Per-Olof Hedekvist, “Fiber-Based Optical Parametric Amplifiers and Their Applications,” IEEE J. Sel. Top. Quantum Electron. 8, 506–520 (2002).
[Crossref]

Bayart, D.

A. Mussot, A. Durécu-Legrand, E. Lantz, C. Simonneau, D. Bayart, H. Maillotte, and T. Sylvestre, “Impact of pump phase modulation on the gain of fiber optical parametric amplifier,” IEEE Photon. Technol. Lett. 16, 1289–1291 (2004).
[Crossref]

Bjorkholm, John E.

Roger H. Stolen and John E. Bjorkholm, “Parametric Amplification and Frequency Conversion in Optical Fibers,” IEEE J. Quantum Electron. QE-18, 1062–1071 (1982).
[Crossref]

Boyraz, Özdal

Jaeyoun Kim, Özdal Boyraz, Jin H. Lim, and Mohammed N. Islam, “Gain Enhancement in cascaded fiber parametric amplifier with quasi-phase matching: theory and experiment,” IEEE J. Lightwave Technol. 19, 247–251 (2001).
[Crossref]

Callegari, F. A.

F. A. Callegari, J. M. Chavez Boggio, and H.L. Fragnito, “Spurious four-wave mixing in two-pump fiber-optic parametric amplifiers,” IEEE Photon. Technol. Lett. 16, 434–436 (2004).
[Crossref]

Centanni, J. C.

S. Radic, C. J. McKinstrie, R. M. Jopson, J. C. Centanni, Q. Lin, and G.P. Agrawal, “Record performance of parametric amplifier constructed with highly nonlinear fiber,” Electron. Lett. 39, 838–839 (2003).
[Crossref]

Chavez Boggio, J. M.

F. A. Callegari, J. M. Chavez Boggio, and H.L. Fragnito, “Spurious four-wave mixing in two-pump fiber-optic parametric amplifiers,” IEEE Photon. Technol. Lett. 16, 434–436 (2004).
[Crossref]

Chiang, T.-K.

Chraplyvy, A. R.

C. J. Mckinstric, S. Radic, and A. R. Chraplyvy, “Parametric Amplifier Driven by Two Pump Waves,” IEEE J. Sel. Top. Quantum Electron. 8, 538–547 (2002).
[Crossref]

Durécu-Legrand, A.

A. Mussot, A. Durécu-Legrand, E. Lantz, C. Simonneau, D. Bayart, H. Maillotte, and T. Sylvestre, “Impact of pump phase modulation on the gain of fiber optical parametric amplifier,” IEEE Photon. Technol. Lett. 16, 1289–1291 (2004).
[Crossref]

Fragnito, H.L.

F. A. Callegari, J. M. Chavez Boggio, and H.L. Fragnito, “Spurious four-wave mixing in two-pump fiber-optic parametric amplifiers,” IEEE Photon. Technol. Lett. 16, 434–436 (2004).
[Crossref]

Goldberg, D. E.

D. E. Goldberg, Genetic Algorithms in Search, Optimization, and Machine Learning (New York: Addison-Wesley, 1989).

Hansryd, Jonas

Jonas Hansryd, Peter A. Andrekson, Mathias Westlund, Jie Li, and Per-Olof Hedekvist, “Fiber-Based Optical Parametric Amplifiers and Their Applications,” IEEE J. Sel. Top. Quantum Electron. 8, 506–520 (2002).
[Crossref]

Hedekvist, Per-Olof

Jonas Hansryd, Peter A. Andrekson, Mathias Westlund, Jie Li, and Per-Olof Hedekvist, “Fiber-Based Optical Parametric Amplifiers and Their Applications,” IEEE J. Sel. Top. Quantum Electron. 8, 506–520 (2002).
[Crossref]

Ho, Min-Chen

Min-Chen Ho, Michel E. Marhic, K. Y. Kenneth Wong, and Leonid G. Kazovsky, “Narrow-Linewidth Idler Generation in Fiber Four-Wave Mixing and Parametric Amplification by Dithering Two Pumps in Opposition of Phase,” IEEE J. Lightwave Technol. 20, 469–476 (2002).
[Crossref]

Min-Chen Ho, Katsumi Uesaka, Michel Marhic, Youichi Akasaka, and Leonid G. Kazovsky, “200-nm-Bandwidth Fiber Optical Amplifier Combining Parametric and Raman Gain,” IEEE J. Lightwave Technol. 19, 977–980 (2001).
[Crossref]

Michel E. Marhic, Frank S. Yang, Min-Chen Ho, and Leonid G. Kazovsky, “High-Nonlinearity Fiber Optical Parametric Amplifier with Periodic Dispersion Compensation,” IEEE J. Lightwave Technol. 17, 210–215 (1999).
[Crossref]

Hu, Weisheng

Wen Zhang, Chengao Wang, Jianwei Su, Chun Jiang, and Weisheng Hu, “Design of fiber optical parametric amplifier,” IEEE Photon. Technol. Lett. 16, 1652–1654 (2004).
[Crossref]

Islam, Mohammed N.

Jaeyoun Kim, Özdal Boyraz, Jin H. Lim, and Mohammed N. Islam, “Gain Enhancement in cascaded fiber parametric amplifier with quasi-phase matching: theory and experiment,” IEEE J. Lightwave Technol. 19, 247–251 (2001).
[Crossref]

Jian, Shuisheng

Jiang, Chun

Wen Zhang, Chengao Wang, Jianwei Su, Chun Jiang, and Weisheng Hu, “Design of fiber optical parametric amplifier,” IEEE Photon. Technol. Lett. 16, 1652–1654 (2004).
[Crossref]

Jopson, R. M.

S. Radic, C. J. McKinstrie, R. M. Jopson, J. C. Centanni, Q. Lin, and G.P. Agrawal, “Record performance of parametric amplifier constructed with highly nonlinear fiber,” Electron. Lett. 39, 838–839 (2003).
[Crossref]

Kagi, N.

Kalogerakis, Georgios

Kenneth K. Y. Wong, Katsuhiro Shimizu, Katsumi Uesaka, Georgios Kalogerakis, Michel E. Marhic, and Leonid G. Kazovsky, “Continuous-Wave Fiber Optical Parametric Amplifier With 60-dB Gain Using a Novel Two-Segment Design,” IEEE Photon. Technol. Lett. 15, 1707–1709 (2003).
[Crossref]

Karlsson, M.

Karlsson, Magnus

Per Kylemark, Per Olof Hedekvist, Henrik Sunnerud, Magnus Karlsson, and Peter A. Andrekson, “Noise Characteristics of Fiber Optical Parametric Amplifiers,” IEEE J. Lightwave Technol. 22, 409–416 (2004).
[Crossref]

Kazovsky, L. G.

Kazovsky, L.G.

Kazovsky, Leonid G.

Kenneth K. Y. Wong, Katsuhiro Shimizu, Katsumi Uesaka, Georgios Kalogerakis, Michel E. Marhic, and Leonid G. Kazovsky, “Continuous-Wave Fiber Optical Parametric Amplifier With 60-dB Gain Using a Novel Two-Segment Design,” IEEE Photon. Technol. Lett. 15, 1707–1709 (2003).
[Crossref]

Kenneth K. Y. Wong, Michel E. Marhic, Katsumi Uesaka, and Leonid G. Kazovsky, “Polarization-independent two-pump fiber optical parametric amplifier,” IEEE Photon. Technol. Lett. 14, 911–913 (2002).
[Crossref]

Min-Chen Ho, Michel E. Marhic, K. Y. Kenneth Wong, and Leonid G. Kazovsky, “Narrow-Linewidth Idler Generation in Fiber Four-Wave Mixing and Parametric Amplification by Dithering Two Pumps in Opposition of Phase,” IEEE J. Lightwave Technol. 20, 469–476 (2002).
[Crossref]

Min-Chen Ho, Katsumi Uesaka, Michel Marhic, Youichi Akasaka, and Leonid G. Kazovsky, “200-nm-Bandwidth Fiber Optical Amplifier Combining Parametric and Raman Gain,” IEEE J. Lightwave Technol. 19, 977–980 (2001).
[Crossref]

Michel E. Marhic, Frank S. Yang, Min-Chen Ho, and Leonid G. Kazovsky, “High-Nonlinearity Fiber Optical Parametric Amplifier with Periodic Dispersion Compensation,” IEEE J. Lightwave Technol. 17, 210–215 (1999).
[Crossref]

Kenneth Wong, K. Y.

Min-Chen Ho, Michel E. Marhic, K. Y. Kenneth Wong, and Leonid G. Kazovsky, “Narrow-Linewidth Idler Generation in Fiber Four-Wave Mixing and Parametric Amplification by Dithering Two Pumps in Opposition of Phase,” IEEE J. Lightwave Technol. 20, 469–476 (2002).
[Crossref]

Kikuchi, K.

T. Tanemura and K. Kikuchi, “Polarization-independent broad-band wavelength conversion using two-pump fiber optical parametric amplification without idler spectral broadening,” IEEE Photon. Technol. Lett. 15, 1573–1575 (2003).
[Crossref]

Kim, Jaeyoun

Jaeyoun Kim, Özdal Boyraz, Jin H. Lim, and Mohammed N. Islam, “Gain Enhancement in cascaded fiber parametric amplifier with quasi-phase matching: theory and experiment,” IEEE J. Lightwave Technol. 19, 247–251 (2001).
[Crossref]

Kylemark, Per

Per Kylemark, Per Olof Hedekvist, Henrik Sunnerud, Magnus Karlsson, and Peter A. Andrekson, “Noise Characteristics of Fiber Optical Parametric Amplifiers,” IEEE J. Lightwave Technol. 22, 409–416 (2004).
[Crossref]

Lantz, E.

A. Mussot, A. Durécu-Legrand, E. Lantz, C. Simonneau, D. Bayart, H. Maillotte, and T. Sylvestre, “Impact of pump phase modulation on the gain of fiber optical parametric amplifier,” IEEE Photon. Technol. Lett. 16, 1289–1291 (2004).
[Crossref]

L. Provino, A. Mussot, E. Lantz, T. Sylvestre, and H. Maillotte, “Broadband and flat parametric amplifiers using a multi-section dispersion-tailored nonlinear fiber arrangement,” J. Opt. Soc. Am. B 20, 1532–1537 (2003).
[Crossref]

Li, Jie

Jonas Hansryd, Peter A. Andrekson, Mathias Westlund, Jie Li, and Per-Olof Hedekvist, “Fiber-Based Optical Parametric Amplifiers and Their Applications,” IEEE J. Sel. Top. Quantum Electron. 8, 506–520 (2002).
[Crossref]

Li, Yanhe

Lim, Jin H.

Jaeyoun Kim, Özdal Boyraz, Jin H. Lim, and Mohammed N. Islam, “Gain Enhancement in cascaded fiber parametric amplifier with quasi-phase matching: theory and experiment,” IEEE J. Lightwave Technol. 19, 247–251 (2001).
[Crossref]

Lin, Q.

F. Yaman, Q. Lin, S. Radic, and Govind P. Agrawal, “Impact of Dispersion Fluctuation on Dual-Pump Fiber-Optic Parametric Amplifiers,” IEEE Photon. Technol. Lett. 16, 1292–1294 (2004).
[Crossref]

S. Radic, C. J. McKinstrie, R. M. Jopson, J. C. Centanni, Q. Lin, and G.P. Agrawal, “Record performance of parametric amplifier constructed with highly nonlinear fiber,” Electron. Lett. 39, 838–839 (2003).
[Crossref]

Liu, Xueming

Maillotte, H.

A. Mussot, A. Durécu-Legrand, E. Lantz, C. Simonneau, D. Bayart, H. Maillotte, and T. Sylvestre, “Impact of pump phase modulation on the gain of fiber optical parametric amplifier,” IEEE Photon. Technol. Lett. 16, 1289–1291 (2004).
[Crossref]

L. Provino, A. Mussot, E. Lantz, T. Sylvestre, and H. Maillotte, “Broadband and flat parametric amplifiers using a multi-section dispersion-tailored nonlinear fiber arrangement,” J. Opt. Soc. Am. B 20, 1532–1537 (2003).
[Crossref]

Marhic, M. E.

Marhic, Michel

Min-Chen Ho, Katsumi Uesaka, Michel Marhic, Youichi Akasaka, and Leonid G. Kazovsky, “200-nm-Bandwidth Fiber Optical Amplifier Combining Parametric and Raman Gain,” IEEE J. Lightwave Technol. 19, 977–980 (2001).
[Crossref]

Marhic, Michel E.

Kenneth K. Y. Wong, Katsuhiro Shimizu, Katsumi Uesaka, Georgios Kalogerakis, Michel E. Marhic, and Leonid G. Kazovsky, “Continuous-Wave Fiber Optical Parametric Amplifier With 60-dB Gain Using a Novel Two-Segment Design,” IEEE Photon. Technol. Lett. 15, 1707–1709 (2003).
[Crossref]

Min-Chen Ho, Michel E. Marhic, K. Y. Kenneth Wong, and Leonid G. Kazovsky, “Narrow-Linewidth Idler Generation in Fiber Four-Wave Mixing and Parametric Amplification by Dithering Two Pumps in Opposition of Phase,” IEEE J. Lightwave Technol. 20, 469–476 (2002).
[Crossref]

Kenneth K. Y. Wong, Michel E. Marhic, Katsumi Uesaka, and Leonid G. Kazovsky, “Polarization-independent two-pump fiber optical parametric amplifier,” IEEE Photon. Technol. Lett. 14, 911–913 (2002).
[Crossref]

Michel E. Marhic, Frank S. Yang, Min-Chen Ho, and Leonid G. Kazovsky, “High-Nonlinearity Fiber Optical Parametric Amplifier with Periodic Dispersion Compensation,” IEEE J. Lightwave Technol. 17, 210–215 (1999).
[Crossref]

Mckinstric, C. J.

S. Radic and C. J. Mckinstric, “Two-pump fiber parametric amplifiers,” Opt. Fiber. Technol. 9, 7–23 (2003).
[Crossref]

C. J. Mckinstric, S. Radic, and A. R. Chraplyvy, “Parametric Amplifier Driven by Two Pump Waves,” IEEE J. Sel. Top. Quantum Electron. 8, 538–547 (2002).
[Crossref]

McKinstrie, C. J.

S. Radic, C. J. McKinstrie, R. M. Jopson, J. C. Centanni, Q. Lin, and G.P. Agrawal, “Record performance of parametric amplifier constructed with highly nonlinear fiber,” Electron. Lett. 39, 838–839 (2003).
[Crossref]

Mussot, A.

A. Mussot, A. Durécu-Legrand, E. Lantz, C. Simonneau, D. Bayart, H. Maillotte, and T. Sylvestre, “Impact of pump phase modulation on the gain of fiber optical parametric amplifier,” IEEE Photon. Technol. Lett. 16, 1289–1291 (2004).
[Crossref]

L. Provino, A. Mussot, E. Lantz, T. Sylvestre, and H. Maillotte, “Broadband and flat parametric amplifiers using a multi-section dispersion-tailored nonlinear fiber arrangement,” J. Opt. Soc. Am. B 20, 1532–1537 (2003).
[Crossref]

Olof Hedekvist, Per

Per Kylemark, Per Olof Hedekvist, Henrik Sunnerud, Magnus Karlsson, and Peter A. Andrekson, “Noise Characteristics of Fiber Optical Parametric Amplifiers,” IEEE J. Lightwave Technol. 22, 409–416 (2004).
[Crossref]

Park, Y.

Provino, L.

Radic, S.

F. Yaman, Q. Lin, S. Radic, and Govind P. Agrawal, “Impact of Dispersion Fluctuation on Dual-Pump Fiber-Optic Parametric Amplifiers,” IEEE Photon. Technol. Lett. 16, 1292–1294 (2004).
[Crossref]

S. Radic, C. J. McKinstrie, R. M. Jopson, J. C. Centanni, Q. Lin, and G.P. Agrawal, “Record performance of parametric amplifier constructed with highly nonlinear fiber,” Electron. Lett. 39, 838–839 (2003).
[Crossref]

S. Radic and C. J. Mckinstric, “Two-pump fiber parametric amplifiers,” Opt. Fiber. Technol. 9, 7–23 (2003).
[Crossref]

C. J. Mckinstric, S. Radic, and A. R. Chraplyvy, “Parametric Amplifier Driven by Two Pump Waves,” IEEE J. Sel. Top. Quantum Electron. 8, 538–547 (2002).
[Crossref]

Shimizu, Katsuhiro

Kenneth K. Y. Wong, Katsuhiro Shimizu, Katsumi Uesaka, Georgios Kalogerakis, Michel E. Marhic, and Leonid G. Kazovsky, “Continuous-Wave Fiber Optical Parametric Amplifier With 60-dB Gain Using a Novel Two-Segment Design,” IEEE Photon. Technol. Lett. 15, 1707–1709 (2003).
[Crossref]

Simonneau, C.

A. Mussot, A. Durécu-Legrand, E. Lantz, C. Simonneau, D. Bayart, H. Maillotte, and T. Sylvestre, “Impact of pump phase modulation on the gain of fiber optical parametric amplifier,” IEEE Photon. Technol. Lett. 16, 1289–1291 (2004).
[Crossref]

Stolen, Roger H.

Roger H. Stolen and John E. Bjorkholm, “Parametric Amplification and Frequency Conversion in Optical Fibers,” IEEE J. Quantum Electron. QE-18, 1062–1071 (1982).
[Crossref]

Su, Jianwei

Wen Zhang, Chengao Wang, Jianwei Su, Chun Jiang, and Weisheng Hu, “Design of fiber optical parametric amplifier,” IEEE Photon. Technol. Lett. 16, 1652–1654 (2004).
[Crossref]

Sunnerud, Henrik

Per Kylemark, Per Olof Hedekvist, Henrik Sunnerud, Magnus Karlsson, and Peter A. Andrekson, “Noise Characteristics of Fiber Optical Parametric Amplifiers,” IEEE J. Lightwave Technol. 22, 409–416 (2004).
[Crossref]

Sylvestre, T.

A. Mussot, A. Durécu-Legrand, E. Lantz, C. Simonneau, D. Bayart, H. Maillotte, and T. Sylvestre, “Impact of pump phase modulation on the gain of fiber optical parametric amplifier,” IEEE Photon. Technol. Lett. 16, 1289–1291 (2004).
[Crossref]

L. Provino, A. Mussot, E. Lantz, T. Sylvestre, and H. Maillotte, “Broadband and flat parametric amplifiers using a multi-section dispersion-tailored nonlinear fiber arrangement,” J. Opt. Soc. Am. B 20, 1532–1537 (2003).
[Crossref]

Tanemura, T.

T. Tanemura and K. Kikuchi, “Polarization-independent broad-band wavelength conversion using two-pump fiber optical parametric amplification without idler spectral broadening,” IEEE Photon. Technol. Lett. 15, 1573–1575 (2003).
[Crossref]

Tong, Zhi

Uesaka, Katsumi

Kenneth K. Y. Wong, Katsuhiro Shimizu, Katsumi Uesaka, Georgios Kalogerakis, Michel E. Marhic, and Leonid G. Kazovsky, “Continuous-Wave Fiber Optical Parametric Amplifier With 60-dB Gain Using a Novel Two-Segment Design,” IEEE Photon. Technol. Lett. 15, 1707–1709 (2003).
[Crossref]

Kenneth K. Y. Wong, Michel E. Marhic, Katsumi Uesaka, and Leonid G. Kazovsky, “Polarization-independent two-pump fiber optical parametric amplifier,” IEEE Photon. Technol. Lett. 14, 911–913 (2002).
[Crossref]

Min-Chen Ho, Katsumi Uesaka, Michel Marhic, Youichi Akasaka, and Leonid G. Kazovsky, “200-nm-Bandwidth Fiber Optical Amplifier Combining Parametric and Raman Gain,” IEEE J. Lightwave Technol. 19, 977–980 (2001).
[Crossref]

Wang, Chengao

Wen Zhang, Chengao Wang, Jianwei Su, Chun Jiang, and Weisheng Hu, “Design of fiber optical parametric amplifier,” IEEE Photon. Technol. Lett. 16, 1652–1654 (2004).
[Crossref]

Wei, Huai

Westlund, Mathias

Jonas Hansryd, Peter A. Andrekson, Mathias Westlund, Jie Li, and Per-Olof Hedekvist, “Fiber-Based Optical Parametric Amplifiers and Their Applications,” IEEE J. Sel. Top. Quantum Electron. 8, 506–520 (2002).
[Crossref]

Wong, Kenneth K. Y.

Kenneth K. Y. Wong, Katsuhiro Shimizu, Katsumi Uesaka, Georgios Kalogerakis, Michel E. Marhic, and Leonid G. Kazovsky, “Continuous-Wave Fiber Optical Parametric Amplifier With 60-dB Gain Using a Novel Two-Segment Design,” IEEE Photon. Technol. Lett. 15, 1707–1709 (2003).
[Crossref]

Kenneth K. Y. Wong, Michel E. Marhic, Katsumi Uesaka, and Leonid G. Kazovsky, “Polarization-independent two-pump fiber optical parametric amplifier,” IEEE Photon. Technol. Lett. 14, 911–913 (2002).
[Crossref]

Yaman, F.

F. Yaman, Q. Lin, S. Radic, and Govind P. Agrawal, “Impact of Dispersion Fluctuation on Dual-Pump Fiber-Optic Parametric Amplifiers,” IEEE Photon. Technol. Lett. 16, 1292–1294 (2004).
[Crossref]

Yang, F. S.

Yang, Frank S.

Michel E. Marhic, Frank S. Yang, Min-Chen Ho, and Leonid G. Kazovsky, “High-Nonlinearity Fiber Optical Parametric Amplifier with Periodic Dispersion Compensation,” IEEE J. Lightwave Technol. 17, 210–215 (1999).
[Crossref]

Zhang, Wen

Wen Zhang, Chengao Wang, Jianwei Su, Chun Jiang, and Weisheng Hu, “Design of fiber optical parametric amplifier,” IEEE Photon. Technol. Lett. 16, 1652–1654 (2004).
[Crossref]

Electron. Lett. (1)

S. Radic, C. J. McKinstrie, R. M. Jopson, J. C. Centanni, Q. Lin, and G.P. Agrawal, “Record performance of parametric amplifier constructed with highly nonlinear fiber,” Electron. Lett. 39, 838–839 (2003).
[Crossref]

IEEE J. Lightwave Technol. (5)

Michel E. Marhic, Frank S. Yang, Min-Chen Ho, and Leonid G. Kazovsky, “High-Nonlinearity Fiber Optical Parametric Amplifier with Periodic Dispersion Compensation,” IEEE J. Lightwave Technol. 17, 210–215 (1999).
[Crossref]

Per Kylemark, Per Olof Hedekvist, Henrik Sunnerud, Magnus Karlsson, and Peter A. Andrekson, “Noise Characteristics of Fiber Optical Parametric Amplifiers,” IEEE J. Lightwave Technol. 22, 409–416 (2004).
[Crossref]

Jaeyoun Kim, Özdal Boyraz, Jin H. Lim, and Mohammed N. Islam, “Gain Enhancement in cascaded fiber parametric amplifier with quasi-phase matching: theory and experiment,” IEEE J. Lightwave Technol. 19, 247–251 (2001).
[Crossref]

Min-Chen Ho, Katsumi Uesaka, Michel Marhic, Youichi Akasaka, and Leonid G. Kazovsky, “200-nm-Bandwidth Fiber Optical Amplifier Combining Parametric and Raman Gain,” IEEE J. Lightwave Technol. 19, 977–980 (2001).
[Crossref]

Min-Chen Ho, Michel E. Marhic, K. Y. Kenneth Wong, and Leonid G. Kazovsky, “Narrow-Linewidth Idler Generation in Fiber Four-Wave Mixing and Parametric Amplification by Dithering Two Pumps in Opposition of Phase,” IEEE J. Lightwave Technol. 20, 469–476 (2002).
[Crossref]

IEEE J. Quantum Electron. (1)

Roger H. Stolen and John E. Bjorkholm, “Parametric Amplification and Frequency Conversion in Optical Fibers,” IEEE J. Quantum Electron. QE-18, 1062–1071 (1982).
[Crossref]

IEEE J. Sel. Top. Quantum Electron. (2)

Jonas Hansryd, Peter A. Andrekson, Mathias Westlund, Jie Li, and Per-Olof Hedekvist, “Fiber-Based Optical Parametric Amplifiers and Their Applications,” IEEE J. Sel. Top. Quantum Electron. 8, 506–520 (2002).
[Crossref]

C. J. Mckinstric, S. Radic, and A. R. Chraplyvy, “Parametric Amplifier Driven by Two Pump Waves,” IEEE J. Sel. Top. Quantum Electron. 8, 538–547 (2002).
[Crossref]

IEEE Photon. Technol. Lett. (7)

Wen Zhang, Chengao Wang, Jianwei Su, Chun Jiang, and Weisheng Hu, “Design of fiber optical parametric amplifier,” IEEE Photon. Technol. Lett. 16, 1652–1654 (2004).
[Crossref]

Kenneth K. Y. Wong, Katsuhiro Shimizu, Katsumi Uesaka, Georgios Kalogerakis, Michel E. Marhic, and Leonid G. Kazovsky, “Continuous-Wave Fiber Optical Parametric Amplifier With 60-dB Gain Using a Novel Two-Segment Design,” IEEE Photon. Technol. Lett. 15, 1707–1709 (2003).
[Crossref]

Kenneth K. Y. Wong, Michel E. Marhic, Katsumi Uesaka, and Leonid G. Kazovsky, “Polarization-independent two-pump fiber optical parametric amplifier,” IEEE Photon. Technol. Lett. 14, 911–913 (2002).
[Crossref]

F. Yaman, Q. Lin, S. Radic, and Govind P. Agrawal, “Impact of Dispersion Fluctuation on Dual-Pump Fiber-Optic Parametric Amplifiers,” IEEE Photon. Technol. Lett. 16, 1292–1294 (2004).
[Crossref]

A. Mussot, A. Durécu-Legrand, E. Lantz, C. Simonneau, D. Bayart, H. Maillotte, and T. Sylvestre, “Impact of pump phase modulation on the gain of fiber optical parametric amplifier,” IEEE Photon. Technol. Lett. 16, 1289–1291 (2004).
[Crossref]

F. A. Callegari, J. M. Chavez Boggio, and H.L. Fragnito, “Spurious four-wave mixing in two-pump fiber-optic parametric amplifiers,” IEEE Photon. Technol. Lett. 16, 434–436 (2004).
[Crossref]

T. Tanemura and K. Kikuchi, “Polarization-independent broad-band wavelength conversion using two-pump fiber optical parametric amplification without idler spectral broadening,” IEEE Photon. Technol. Lett. 15, 1573–1575 (2003).
[Crossref]

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

Opt. Express (2)

Opt. Fiber. Technol. (1)

S. Radic and C. J. Mckinstric, “Two-pump fiber parametric amplifiers,” Opt. Fiber. Technol. 9, 7–23 (2003).
[Crossref]

Opt. Lett. (2)

Other (2)

D. E. Goldberg, Genetic Algorithms in Search, Optimization, and Machine Learning (New York: Addison-Wesley, 1989).

Govind P. Agrawal, Nonlinear Fiber Optics, Third Edition & Applications of Nonlinear Fiber Optics (Beijing: Publishing House of Electronics Industry, 2002), Chap.10.

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Figures (8)

Fig. 1.
Fig. 1. Scheme of two-pump broadband FOPA with N-section HNLFs
Fig. 2.
Fig. 2. Trace of the optimization.
Fig. 3.
Fig. 3. Small signal gain curves of two-pump FOPA at the output of the first-section HNLF with (a) different fiber length (b) different second-order dispersion
Fig. 4.
Fig. 4. Small signal gain curves of two-pump FOPA at the output of the first-section HNLF with (a) different nonlinear coefficient (b) different pump powers
Fig. 5.
Fig. 5. Small signal gain curves of two-pump FOPA at the output of the first-section HNLF with (a) different fourth-order dispersion (b) different pump separation
Fig. 6.
Fig. 6. (a) Small signal gain curves for single-pump FOPA composed of four-section HNLFs with P0=1 W, λ p=1500 nm, β (4)=-2×10-6 ps4km-1 and γ=20 W-1km-1. (b) Small signal gain curves for two-pump FOPA composed of two-section HNLFs with P1=P2=1 W, λp1=1490 nm, λp2=1510 nm, β (4)=-2×10-6 ps4km-1 and λ=60 W-1km-1.
Fig. 7.
Fig. 7. (a) The second-order dispersion curves versus amplifier length for two-pump FOPA composed of two-section HNLFs (b) The corresponding gain spectra (the solid and dotted curves correspond to curves with and without ZDW fluctuations.)
Fig. 8.
Fig. 8. (a) The four-order dispersion curves versus amplifier length for two-pump FOPA composed of two-section fiber (b) The corresponding gain spectra (the solid and dotted curves correspond to curves with and without fluctuations.)

Equations (28)

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d A 1 dz = i γ [ A 1 2 + 2 ( A 2 2 + A 3 2 + A 4 2 ) ] A 1 + 2 i γ A 2 * A 3 A 4 e i Δ β z
d A 2 dz = i γ [ A 2 2 + 2 ( A 1 2 + A 3 2 + A 4 2 ) ] A 2 + 2 i γ A 1 * A 3 A 4 e i Δ β z
d A 3 dz = i γ [ A 3 2 + 2 ( A 1 2 + A 2 2 + A 4 2 ) ] A 3 + 2 i γ A 1 A 2 A 4 * e i Δ β z
d A 4 dz = i γ [ A 4 2 + 2 ( A 1 2 + A 2 2 + A 3 2 ) ] A 4 + 2 i γ A 1 A 2 A 3 * e i Δ β z
A 1 ( z ) = P 1 exp [ i γ ( P 1 + 2 P 2 ) z ]
A 2 ( z ) = P 2 exp [ i γ ( P 2 + 2 P 1 ) z ]
d A 3 dz = 2 i γ [ ( P 1 + P 2 ) A 3 + P 1 P 2 exp ( i θ ) A 4 * ]
d A 4 * dz = 2 i γ [ ( P 1 + P 2 ) A 4 + P 1 P 2 exp ( i θ ) A 3 ]
B j = A j exp [ 2 i γ ( P 1 + P 2 ) z ] , j = 3 , 4
d B 3 dz = 2 i γ P 1 P 2 exp ( ikz ) B 4 *
d B 4 * dz = 2 i γ P 1 P 2 exp ( ikz ) B 3
k = Δ β + γ ( P 1 + P 2 ) = Δ β + γ P 0
B 3 ( z ) = ( a 3 e gz + b 3 e gz ) exp ( ikz 2 )
B 4 * ( z ) = ( a 4 e gz + b 4 e gz ) exp ( ikz 2 )
B ( z ) = ψ ( z ) B ( 0 )
ψ ( z ) = [ cosh ( gz ) + ik 2 g sinh ( gz ) 2 i γ P 1 P 2 g sinh ( gz ) 2 i γ P 1 P 2 g sinh ( gz ) cosh ( gz ) ik 2 g sinh ( gz ) ]
g 2 = [ ( ur ) 2 ( κ 2 ) 2 ] = 1 4 ( Δ β 2 + 2 u Δ β + u 2 4 u 2 r 2 )
Δ β = β 3 + β 4 β 1 β 2
β 3 = β ( ω c ) + d β d ω ( ω c ) · ( ω 3 ω c ) + 1 2 d 2 β d ω 2 ( ω c ) · ( ω 3 ω c ) 2
+ 1 6 d 3 β d ω 3 ( ω c ) · ( ω 3 ω c ) 3 +
= β ( ω c ) + n = 1 β ( n ) n ! ( ω c ) · ( ω 3 ω c ) n
Δ β = 2 m = 1 β ( 2 m ) ( 2 m ) ! [ Ω 2 m ( Δ ω p ) 2 m ]
Δ β = β ( 2 ) · [ Ω 2 ( Δ ω p ) 2 ] + 1 12 β ( 4 ) · [ Ω 4 ( Δ ω p ) 4 ]
Ψ ( z ) = 1 1 ζ 2 [ e gz ζ 2 e gz ζ ( e gz e gz ) ζ ( e gz e gz ) e gz ζ 2 e gz ]
B ( z N ) = k = 1 N Ψ ( z k ) × B ( 0 )
G N = 10 log [ B 3 ( z N ) 2 ]
P [ In div idual i is chosen ] = F i j = 1 PopSize F j
δ β 4 = A 1 × n = 1 m sin ( k 1 , n z + ψ 1 , n ) + A 2 × n = 1 m sin ( k 2 , n z + ψ 2 , n )

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