Abstract

We propose a simple lossless method for the generation of flat-topped intensity pulses bursts from a single utrashort pulse. We have found optimum solutions corresponding to different numbers of cavities and burst pulses, showing that the proposed all-pass structures of optical cavities, properly designed, can generate close to flat-topped pulse busts.

©2009 Optical Society of America

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References

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  1. J. Caraquitena, Z. Jiang, D. E. Leaird, and A. M. Weiner, “Tunable pulse repetition-rate multiplication using phase-only line-by-line pulse shaping,” Opt. Lett. 32, 716–718 (2007).
    [Crossref] [PubMed]
  2. C. -B. Huang and Y. Lai, “Loss-less pulse intensity repetition-rate multiplication using optical all-pass filtering,” IEEE Photon. Technol. Lett. 12, 167–169 (2000).
    [Crossref]
  3. J. Azaña, “Pulse repetition rate multiplication using phase-only filtering,” Electron. Lett. 40, 449–451 (2004).
    [Crossref]
  4. M. A. Preciado and M. A. Muriel, “Repetition-rate multiplication using a single all-pass optical cavity,” Opt. Lett. 33, 962–964 (2008).
    [Crossref] [PubMed]
  5. M. A. Preciado and M. A. Muriel, “All-pass optical structures for repetition rate multiplication,” Opt. Express 16, 11162–11168 (2008).
    [Crossref] [PubMed]
  6. M. A. Preciado and M. A. Muriel, “Repetition Rate Multiplication Using All-Pass Optical Structures,” Optics & Photonics News 19, 37–37 (2008).
    [Crossref]
  7. J. Azaña and M. A. Muriel, “Temporal Talbot effect in fiber gratings and its applications,” Appl. Opt. 38, 6700–6704 (1999).
    [Crossref]
  8. A. M. Weiner and D. E. Leaird, “Generation of terahertz-rate trains of femtosecond pulses by phase-only filtering,” Opt. Lett. 15, 51–53 (1990)
    [Crossref] [PubMed]
  9. J. Azaña, R. Slavík, P. Kockaert, L. R. Chen, and S. LaRochelle, “Generation of Customized Ultrahigh Repetition Rate Pulse Sequences Using Superimposed Fiber Bragg Gratings,” J. Lightwave Technol. 21, 1490- (2003)
    [Crossref]
  10. B. Muralidharan, V. Balakrishnan, and A. M. Weiner, “Design of Double-Passed Arrayed-Waveguide Gratings for the Generation of Flat-Topped Femtosecond Pulse Trains,” J. Lightwave Technol. 24, 586-(2006)
    [Crossref]
  11. V. García-Muñoz, M. A. Preciado, and M. A. Muriel, “Simultaneous ultrafast optical pulse train bursts generation and shaping based on Fourier series developments using superimposed fiber Bragg gratings,” Opt. Express 15, 10878–10889 (2007)
    [Crossref] [PubMed]
  12. A. Yariv and P. Yeh, “Wave propagation in periodic media,” in Photonics: Optical electronics in modern communications (Oxford University Press, 2007).
  13. J. Capmany, P. Muñoz, J.D. Domenech, and M. A. Muriel, ”Apodized coupled resonator waveguides,” Opt. Express 15, 10196–10206 (2007).
    [Crossref] [PubMed]
  14. J. Capmany and M. A. Muriel, “A new transfer matrix formalism for the analysis of fiber ring resonators: Compound coupled structures for FDMA,” J. Lightwave Technol. 8, 1904–1919 (1990).
    [Crossref]
  15. A. Papoulis, The Fourier Integral and Its Applications (McGraw-Hill, New York, 1962).

2008 (3)

2007 (3)

2006 (1)

2004 (1)

J. Azaña, “Pulse repetition rate multiplication using phase-only filtering,” Electron. Lett. 40, 449–451 (2004).
[Crossref]

2003 (1)

2000 (1)

C. -B. Huang and Y. Lai, “Loss-less pulse intensity repetition-rate multiplication using optical all-pass filtering,” IEEE Photon. Technol. Lett. 12, 167–169 (2000).
[Crossref]

1999 (1)

1990 (2)

J. Capmany and M. A. Muriel, “A new transfer matrix formalism for the analysis of fiber ring resonators: Compound coupled structures for FDMA,” J. Lightwave Technol. 8, 1904–1919 (1990).
[Crossref]

A. M. Weiner and D. E. Leaird, “Generation of terahertz-rate trains of femtosecond pulses by phase-only filtering,” Opt. Lett. 15, 51–53 (1990)
[Crossref] [PubMed]

Azaña, J.

Balakrishnan, V.

Capmany, J.

J. Capmany, P. Muñoz, J.D. Domenech, and M. A. Muriel, ”Apodized coupled resonator waveguides,” Opt. Express 15, 10196–10206 (2007).
[Crossref] [PubMed]

J. Capmany and M. A. Muriel, “A new transfer matrix formalism for the analysis of fiber ring resonators: Compound coupled structures for FDMA,” J. Lightwave Technol. 8, 1904–1919 (1990).
[Crossref]

Caraquitena, J.

Chen, L. R.

Domenech, J.D.

García-Muñoz, V.

Huang, C. -B.

C. -B. Huang and Y. Lai, “Loss-less pulse intensity repetition-rate multiplication using optical all-pass filtering,” IEEE Photon. Technol. Lett. 12, 167–169 (2000).
[Crossref]

Jiang, Z.

Kockaert, P.

Lai, Y.

C. -B. Huang and Y. Lai, “Loss-less pulse intensity repetition-rate multiplication using optical all-pass filtering,” IEEE Photon. Technol. Lett. 12, 167–169 (2000).
[Crossref]

LaRochelle, S.

Leaird, D. E.

Muñoz, P.

Muralidharan, B.

Muriel, M. A.

Papoulis, A.

A. Papoulis, The Fourier Integral and Its Applications (McGraw-Hill, New York, 1962).

Preciado, M. A.

Slavík, R.

Weiner, A. M.

Yariv, A.

A. Yariv and P. Yeh, “Wave propagation in periodic media,” in Photonics: Optical electronics in modern communications (Oxford University Press, 2007).

Yeh, P.

A. Yariv and P. Yeh, “Wave propagation in periodic media,” in Photonics: Optical electronics in modern communications (Oxford University Press, 2007).

Appl. Opt. (1)

Electron. Lett. (1)

J. Azaña, “Pulse repetition rate multiplication using phase-only filtering,” Electron. Lett. 40, 449–451 (2004).
[Crossref]

IEEE Photon. Technol. Lett. (1)

C. -B. Huang and Y. Lai, “Loss-less pulse intensity repetition-rate multiplication using optical all-pass filtering,” IEEE Photon. Technol. Lett. 12, 167–169 (2000).
[Crossref]

J. Lightwave Technol. (3)

Opt. Express (3)

Opt. Lett. (3)

Optics & Photonics News (1)

M. A. Preciado and M. A. Muriel, “Repetition Rate Multiplication Using All-Pass Optical Structures,” Optics & Photonics News 19, 37–37 (2008).
[Crossref]

Other (2)

A. Yariv and P. Yeh, “Wave propagation in periodic media,” in Photonics: Optical electronics in modern communications (Oxford University Press, 2007).

A. Papoulis, The Fourier Integral and Its Applications (McGraw-Hill, New York, 1962).

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Figures (3)

Fig. 1.
Fig. 1. Architecture of the system. A single short pulse is processed by the all-pass optical structure, generating an output burst of NP pulses. Two kinds of coupled cavities structures are proposed, partially reflecting coupled mirrors and coupled ring optical waveguide.

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Fig. 2.
Fig. 2. False-color representation of log10(1-FM), for a clear identification of accurate solutions, which correspond to the lowest negative values (blue cells).

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Fig. 3.
Fig. 3. Output burst of 9 pulses obtained from a numerical simulation of the designed optical structure with an input 200 fs FWHM gaussian pulse at 193 THz (blue-solid line), and at 195 THz (red-dotted line), hardly distinguishable. The maximums of each pulse are marked with a blue left-pointing triangle for the first input, and with a red right-pointing triangle for the second one, appearing a six-point star where both coincide.

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Tables (2)

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Table 1. Pairs of AJ \ ER values in decibels for optimum solutions with different NC and NP values.

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Table 2. Performance of the designed structure in terms of figure of merit, amplitude jitter, extinction ratio, and energy efficiency, considering several values of round-trip power losses (RTPL).

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Equations (6)

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Ki=1−ri2
h(t)=∑n=0∞cnδ(t−nT)
rectNp[n]={0,n≤01,0<n≤Np0,n>Np
FM=max[[∑n=1∞∣cn∣2rectNp(n+k)]/Np∑n=1∞∣cn∣4],k∈ℤ
AJ=20log10(max(∣ci∣)/min(∣cj∣))
ER=20log10(max(∣ci∣)/max(∣ck∣))

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