Abstract

A photonic approach to generate a triangular-shaped pulse utilizing the self-convolution process of a rectangular-shaped pulse is proposed and demonstrated. The configuration is characterized by two sections of dispersive fibers with opposite signs connected by a parametric mixing process, which corresponds to a temporal reduced 4-f system in addition, with a pattern square operation at the Fourier plane. The proposal is analyzed and validated by simulation and experiment, and triangular pulses with different pulse widths are successfully generated.

© 2014 Optical Society of America

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  1. A. I. Latkin, S. Boscolo, R. S. Bhamber, and S. K. Turitsyn, European Conference on Optical Communication (IEEE, 2008), paper Mo.3.F.4.
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2013 (2)

2012 (2)

E. Palushani, H. C. H. Mulvad, M. Galili, H. Hu, L. K. Oxenlowe, A. T. Clausen, and P. Jeppesen, IEEE J. Sel. Top. Quantum Electron. 18, 681 (2012).
[CrossRef]

L. Ming, P. Dumais, R. Ashrafi, H. P. Bazargani, J. Quelene, C. Callender, and J. Azana, IEEE Photon. Technol. Lett. 24, 1387 (2012).
[CrossRef]

2011 (3)

2010 (1)

J. Yao, Nat. Photonics 4, 79 (2010).
[CrossRef]

2009 (2)

K. Goda, D. R. Solli, K. K. Tsia, and B. Jalali, Phys. Rev. A 80, 043821 (2009).
[CrossRef]

E. Palushani, L. K. Oxenlowe, M. Galili, H. C. H. Mulvad, A. T. Clausen, and P. Jeppesen, IEEE J. Quantum Electron. 45, 1317 (2009).
[CrossRef]

2008 (1)

D. F. Geraghty, R. Salem, M. A. Foster, and A. L. Gaeta, IEEE Photon. Technol. Lett. 20, 487 (2008).
[CrossRef]

2007 (1)

2006 (1)

2003 (1)

J. Chou, Y. Han, and B. Jalali, IEEE Photon. Technol. Lett. 15, 581 (2003).
[CrossRef]

1994 (1)

B. H. Kolner, IEEE J. Quantum Electron. 30, 1951 (1994).
[CrossRef]

Agrawal, G.

G. Agrawal, Nonlinear Fiber Optics, 3rd ed. (Academic, 2000).

Ahn, T.-J.

Asghari, M. H.

Ashrafi, R.

L. Ming, P. Dumais, R. Ashrafi, H. P. Bazargani, J. Quelene, C. Callender, and J. Azana, IEEE Photon. Technol. Lett. 24, 1387 (2012).
[CrossRef]

Azana, J.

L. Ming, P. Dumais, R. Ashrafi, H. P. Bazargani, J. Quelene, C. Callender, and J. Azana, IEEE Photon. Technol. Lett. 24, 1387 (2012).
[CrossRef]

Azaña, J.

Bazargani, H. P.

L. Ming, P. Dumais, R. Ashrafi, H. P. Bazargani, J. Quelene, C. Callender, and J. Azana, IEEE Photon. Technol. Lett. 24, 1387 (2012).
[CrossRef]

Bhamber, R. S.

A. I. Latkin, S. Boscolo, R. S. Bhamber, and S. K. Turitsyn, European Conference on Optical Communication (IEEE, 2008), paper Mo.3.F.4.

Boscolo, S.

A. I. Latkin, S. Boscolo, R. S. Bhamber, and S. K. Turitsyn, European Conference on Optical Communication (IEEE, 2008), paper Mo.3.F.4.

Callender, C.

L. Ming, P. Dumais, R. Ashrafi, H. P. Bazargani, J. Quelene, C. Callender, and J. Azana, IEEE Photon. Technol. Lett. 24, 1387 (2012).
[CrossRef]

Chou, J.

J. Chou, Y. Han, and B. Jalali, IEEE Photon. Technol. Lett. 15, 581 (2003).
[CrossRef]

Clausen, A. T.

E. Palushani, H. C. H. Mulvad, M. Galili, H. Hu, L. K. Oxenlowe, A. T. Clausen, and P. Jeppesen, IEEE J. Sel. Top. Quantum Electron. 18, 681 (2012).
[CrossRef]

E. Palushani, L. K. Oxenlowe, M. Galili, H. C. H. Mulvad, A. T. Clausen, and P. Jeppesen, IEEE J. Quantum Electron. 45, 1317 (2009).
[CrossRef]

Dumais, P.

L. Ming, P. Dumais, R. Ashrafi, H. P. Bazargani, J. Quelene, C. Callender, and J. Azana, IEEE Photon. Technol. Lett. 24, 1387 (2012).
[CrossRef]

Foster, M. A.

R. Salem, M. A. Foster, and A. L. Gaeta, Adv. Opt. Photon. 5, 274 (2013).
[CrossRef]

D. F. Geraghty, R. Salem, M. A. Foster, and A. L. Gaeta, IEEE Photon. Technol. Lett. 20, 487 (2008).
[CrossRef]

Gaeta, A. L.

R. Salem, M. A. Foster, and A. L. Gaeta, Adv. Opt. Photon. 5, 274 (2013).
[CrossRef]

D. F. Geraghty, R. Salem, M. A. Foster, and A. L. Gaeta, IEEE Photon. Technol. Lett. 20, 487 (2008).
[CrossRef]

Galili, M.

E. Palushani, H. C. H. Mulvad, M. Galili, H. Hu, L. K. Oxenlowe, A. T. Clausen, and P. Jeppesen, IEEE J. Sel. Top. Quantum Electron. 18, 681 (2012).
[CrossRef]

E. Palushani, L. K. Oxenlowe, M. Galili, H. C. H. Mulvad, A. T. Clausen, and P. Jeppesen, IEEE J. Quantum Electron. 45, 1317 (2009).
[CrossRef]

Ge, X.

Geraghty, D. F.

D. F. Geraghty, R. Salem, M. A. Foster, and A. L. Gaeta, IEEE Photon. Technol. Lett. 20, 487 (2008).
[CrossRef]

Goda, K.

K. Goda, D. R. Solli, K. K. Tsia, and B. Jalali, Phys. Rev. A 80, 043821 (2009).
[CrossRef]

Han, Y.

J. Chou, Y. Han, and B. Jalali, IEEE Photon. Technol. Lett. 15, 581 (2003).
[CrossRef]

Howe, J. V.

Hu, H.

E. Palushani, H. C. H. Mulvad, M. Galili, H. Hu, L. K. Oxenlowe, A. T. Clausen, and P. Jeppesen, IEEE J. Sel. Top. Quantum Electron. 18, 681 (2012).
[CrossRef]

Ibsen, M.

F. Parmigiani, M. Ibsen, T. T. Ng, L. A. Provost, P. Petropoulos, and D. J. Richardson, in Optical Fiber Communication Conference/National Fiber Optic Engineers Conference, OSA Technical Digest (CD) (Optical Society of America, 2008), paper OMP3.

Jalali, B.

K. Goda, D. R. Solli, K. K. Tsia, and B. Jalali, Phys. Rev. A 80, 043821 (2009).
[CrossRef]

J. Chou, Y. Han, and B. Jalali, IEEE Photon. Technol. Lett. 15, 581 (2003).
[CrossRef]

Jeppesen, P.

E. Palushani, H. C. H. Mulvad, M. Galili, H. Hu, L. K. Oxenlowe, A. T. Clausen, and P. Jeppesen, IEEE J. Sel. Top. Quantum Electron. 18, 681 (2012).
[CrossRef]

E. Palushani, L. K. Oxenlowe, M. Galili, H. C. H. Mulvad, A. T. Clausen, and P. Jeppesen, IEEE J. Quantum Electron. 45, 1317 (2009).
[CrossRef]

Jia, N.

Jianping, Y.

L. Ming, H. Yichen, P. Shilong, and Y. Jianping, IEEE Photon. Technol. Lett. 23, 715 (2011).
[CrossRef]

Kolner, B. H.

B. H. Kolner, IEEE J. Quantum Electron. 30, 1951 (1994).
[CrossRef]

Latkin, A. I.

A. I. Latkin, S. Boscolo, R. S. Bhamber, and S. K. Turitsyn, European Conference on Optical Communication (IEEE, 2008), paper Mo.3.F.4.

Li, J.

Luo, B.

Ming, L.

L. Ming, P. Dumais, R. Ashrafi, H. P. Bazargani, J. Quelene, C. Callender, and J. Azana, IEEE Photon. Technol. Lett. 24, 1387 (2012).
[CrossRef]

L. Ming, H. Yichen, P. Shilong, and Y. Jianping, IEEE Photon. Technol. Lett. 23, 715 (2011).
[CrossRef]

Mulvad, H. C. H.

E. Palushani, H. C. H. Mulvad, M. Galili, H. Hu, L. K. Oxenlowe, A. T. Clausen, and P. Jeppesen, IEEE J. Sel. Top. Quantum Electron. 18, 681 (2012).
[CrossRef]

E. Palushani, L. K. Oxenlowe, M. Galili, H. C. H. Mulvad, A. T. Clausen, and P. Jeppesen, IEEE J. Quantum Electron. 45, 1317 (2009).
[CrossRef]

Ng, T. T.

F. Parmigiani, M. Ibsen, T. T. Ng, L. A. Provost, P. Petropoulos, and D. J. Richardson, in Optical Fiber Communication Conference/National Fiber Optic Engineers Conference, OSA Technical Digest (CD) (Optical Society of America, 2008), paper OMP3.

Ning, T.

Oxenlowe, L. K.

E. Palushani, H. C. H. Mulvad, M. Galili, H. Hu, L. K. Oxenlowe, A. T. Clausen, and P. Jeppesen, IEEE J. Sel. Top. Quantum Electron. 18, 681 (2012).
[CrossRef]

E. Palushani, L. K. Oxenlowe, M. Galili, H. C. H. Mulvad, A. T. Clausen, and P. Jeppesen, IEEE J. Quantum Electron. 45, 1317 (2009).
[CrossRef]

Palushani, E.

E. Palushani, H. C. H. Mulvad, M. Galili, H. Hu, L. K. Oxenlowe, A. T. Clausen, and P. Jeppesen, IEEE J. Sel. Top. Quantum Electron. 18, 681 (2012).
[CrossRef]

E. Palushani, L. K. Oxenlowe, M. Galili, H. C. H. Mulvad, A. T. Clausen, and P. Jeppesen, IEEE J. Quantum Electron. 45, 1317 (2009).
[CrossRef]

Pan, S.

Pan, W.

Park, Y.

Parmigiani, F.

F. Parmigiani, M. Ibsen, T. T. Ng, L. A. Provost, P. Petropoulos, and D. J. Richardson, in Optical Fiber Communication Conference/National Fiber Optic Engineers Conference, OSA Technical Digest (CD) (Optical Society of America, 2008), paper OMP3.

Pei, L.

Peng, W.

Petropoulos, P.

F. Parmigiani, M. Ibsen, T. T. Ng, L. A. Provost, P. Petropoulos, and D. J. Richardson, in Optical Fiber Communication Conference/National Fiber Optic Engineers Conference, OSA Technical Digest (CD) (Optical Society of America, 2008), paper OMP3.

Provost, L. A.

F. Parmigiani, M. Ibsen, T. T. Ng, L. A. Provost, P. Petropoulos, and D. J. Richardson, in Optical Fiber Communication Conference/National Fiber Optic Engineers Conference, OSA Technical Digest (CD) (Optical Society of America, 2008), paper OMP3.

Quelene, J.

L. Ming, P. Dumais, R. Ashrafi, H. P. Bazargani, J. Quelene, C. Callender, and J. Azana, IEEE Photon. Technol. Lett. 24, 1387 (2012).
[CrossRef]

Richardson, D. J.

F. Parmigiani, M. Ibsen, T. T. Ng, L. A. Provost, P. Petropoulos, and D. J. Richardson, in Optical Fiber Communication Conference/National Fiber Optic Engineers Conference, OSA Technical Digest (CD) (Optical Society of America, 2008), paper OMP3.

Salem, R.

R. Salem, M. A. Foster, and A. L. Gaeta, Adv. Opt. Photon. 5, 274 (2013).
[CrossRef]

D. F. Geraghty, R. Salem, M. A. Foster, and A. L. Gaeta, IEEE Photon. Technol. Lett. 20, 487 (2008).
[CrossRef]

Shilong, P.

L. Ming, H. Yichen, P. Shilong, and Y. Jianping, IEEE Photon. Technol. Lett. 23, 715 (2011).
[CrossRef]

Solli, D. R.

K. Goda, D. R. Solli, K. K. Tsia, and B. Jalali, Phys. Rev. A 80, 043821 (2009).
[CrossRef]

Tsia, K. K.

K. Goda, D. R. Solli, K. K. Tsia, and B. Jalali, Phys. Rev. A 80, 043821 (2009).
[CrossRef]

Turitsyn, S. K.

A. I. Latkin, S. Boscolo, R. S. Bhamber, and S. K. Turitsyn, European Conference on Optical Communication (IEEE, 2008), paper Mo.3.F.4.

Wen, X.

Xu, C.

Yan, L.

Yao, J.

J. Yao, Nat. Photonics 4, 79 (2010).
[CrossRef]

Yao, S.

Ye, J.

Yi, A.

Yichen, H.

L. Ming, H. Yichen, P. Shilong, and Y. Jianping, IEEE Photon. Technol. Lett. 23, 715 (2011).
[CrossRef]

Zhang, F.

Zhou, Q.

Zou, X.

Adv. Opt. Photon. (1)

IEEE J. Quantum Electron. (2)

B. H. Kolner, IEEE J. Quantum Electron. 30, 1951 (1994).
[CrossRef]

E. Palushani, L. K. Oxenlowe, M. Galili, H. C. H. Mulvad, A. T. Clausen, and P. Jeppesen, IEEE J. Quantum Electron. 45, 1317 (2009).
[CrossRef]

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

E. Palushani, H. C. H. Mulvad, M. Galili, H. Hu, L. K. Oxenlowe, A. T. Clausen, and P. Jeppesen, IEEE J. Sel. Top. Quantum Electron. 18, 681 (2012).
[CrossRef]

IEEE Photon. Technol. Lett. (4)

D. F. Geraghty, R. Salem, M. A. Foster, and A. L. Gaeta, IEEE Photon. Technol. Lett. 20, 487 (2008).
[CrossRef]

L. Ming, H. Yichen, P. Shilong, and Y. Jianping, IEEE Photon. Technol. Lett. 23, 715 (2011).
[CrossRef]

L. Ming, P. Dumais, R. Ashrafi, H. P. Bazargani, J. Quelene, C. Callender, and J. Azana, IEEE Photon. Technol. Lett. 24, 1387 (2012).
[CrossRef]

J. Chou, Y. Han, and B. Jalali, IEEE Photon. Technol. Lett. 15, 581 (2003).
[CrossRef]

J. Lightwave Technol. (1)

Nat. Photonics (1)

J. Yao, Nat. Photonics 4, 79 (2010).
[CrossRef]

Opt. Express (1)

Opt. Lett. (3)

Phys. Rev. A (1)

K. Goda, D. R. Solli, K. K. Tsia, and B. Jalali, Phys. Rev. A 80, 043821 (2009).
[CrossRef]

Other (3)

G. Agrawal, Nonlinear Fiber Optics, 3rd ed. (Academic, 2000).

A. I. Latkin, S. Boscolo, R. S. Bhamber, and S. K. Turitsyn, European Conference on Optical Communication (IEEE, 2008), paper Mo.3.F.4.

F. Parmigiani, M. Ibsen, T. T. Ng, L. A. Provost, P. Petropoulos, and D. J. Richardson, in Optical Fiber Communication Conference/National Fiber Optic Engineers Conference, OSA Technical Digest (CD) (Optical Society of America, 2008), paper OMP3.

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Figures (7)

Fig. 1.
Fig. 1.

Schematic diagram of triangular-shaped pattern generation in (a) spatial and (b) time domain.

Fig. 2.
Fig. 2.

Simulated results: (a) input rectangular pulse, (b) sinc-shaped pulse, (c) generated triangular pulse, and (d) sinc2-shaped pulse after field square process.

Fig. 3.
Fig. 3.

Experimental setup for triangular pulse generation: (a) FT for a rectangular pulse to a sinc-shaped pulse, (b) field square process for a sinc-shaped pulse to a sinc2-shaped pulse, and (c) FT for a sinc2-shaped pulse to a triangular pulse.

Fig. 4.
Fig. 4.

Spectrum at the output of the HNLF.

Fig. 5.
Fig. 5.

Experimental results: (a) input rectangular pulse, (b) sinc-shaped pulse, (c) generated triangular pulse, and (d) sinc2-shaped pulse.

Fig. 6.
Fig. 6.

Experimental results: (a) input rectangular pulse, (b) generated triangular pulse at 20Gbit/s, (c) input rectangular pulse, and (d) generated triangular pulse at 10Gbit/s.

Fig. 7.
Fig. 7.

(a) Deviation error of the generated triangular pulse versus the dispersion of the first SMF for different inputs and (b) the optimal dispersion of the first SMF versus the bitrate of the inputs.

Equations (3)

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

y(t)[g(t)*exp(j12Φ2t2)]2*exp(j1Φ2t2),
|y(t)||g(2t)*g(2t)|.
Error=||y(t)|2I(t)|2|I(t)|2×100%,

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