Abstract

We propose and analyze several simple all-pass spectrally-periodic optical structures, in terms of accuracy and robustness, for the implementation of repetition rate multipliers of periodic pulse train with uniform output train envelope, finding optimum solutions for multiplication factors of 3, 4, 6, and 12.

© 2008 Optical Society of America

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  1. K. Yiannopoulos, K. Vyrsokinos, E. Kehayas, N. Pleros, K. Vlachos, H. Avramopoulos, and G. Guekos, "Rate multiplication by double-passing Fabry-Perot filtering," IEEE Photon. Technol. Lett. 15, 1294-1296 (2003).
    [CrossRef]
  2. D. S. Seo, D. E. Leaird, A. M. Weiner, S. Kamei, M. Ishii, A. Sugita, and K. Okamoto, "Continuous 500 GHz pulse train generation by repetition-rate multiplication using arrayed waveguide grating," Electron. Lett. 39, 1138-1140 (2003).
    [CrossRef]
  3. P. Petropoulos, M. Ibsen, M. N. Zervas, and D. J. Richardson, "Generation of a 40-GHz pulse stream by pulse multiplication with a sampled fiber Bragg grating," Opt. Lett. 25, 521-523 (2000).
    [CrossRef]
  4. Q1. B. Xia and L. R. Chen, "A direct temporal domain approach for pulse-repetition rate multiplication with arbitrary envelope shaping," IEEE J. Sel. Top. Quantum Electron. 11, 165-172 (2005).
    [CrossRef]
  5. B. Xia and L. R. Chen, "Ring resonator arrays for pulse repetition rate multiplication and shaping," IEEE Photon. Technol. Lett. 18, 1999-2001 (2006).
    [CrossRef]
  6. 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]
  7. Z. Jiang, C. -B. Huang, D. E. Leaird, and A. M. Weiner, "Spectral line-by-line pulse shaping for optical arbitrary pulse-train generation," J. Opt. Soc. Am. B 24, 2124-2128 (2007).
    [CrossRef]
  8. 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]
  9. J. Azana and L. R. Chen, "Multiwavelength optical signal processing using multistage ring resonators," IEEE Photon. Technol. Lett. 14, 654-656 (2002).
    [CrossRef]
  10. 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]
  11. S. Arahira, S. Kutsuzawa, Y. Matsui, D. Kunimatsu, and Y. Ogawa, "Repetition-frequency multiplication of mode-locked pulses using fiber dispersion," J. Lightwave Technol. 16, 405-410 (1998).
    [CrossRef]
  12. I. Shake, H. Takara, S. Kawanishi, and M. Saruwatari,"High-repetition-rate optical pulse generation by using chirped optical pulses," Electron. Lett. 34, 792-793 (1998).
    [CrossRef]
  13. J. Azaña and M. A. Muriel, "Temporal Talbot effect in fiber gratings and its applications," Appl. Opt. 38, 6700-6704 (1999).
    [CrossRef]
  14. S. Longhi, M. Marano, P. Laporta, and V. Pruneri, "Multiplication and reshaping of high-repetition-rate optical pulse trains using highly dispersive fiber Bragg gratings," IEEE Photon. Technol. Lett. 12, 1498-1500 (2000).
    [CrossRef]
  15. J. Azaña, "Pulse repetition rate multiplication using phase-only filtering," Electron. Lett. 40, 449-451 (2004).
    [CrossRef]
  16. A. V. Oppenheim, R. W. Schafer, and J. R. Buck, Discrete-time signal processing (Prentice-Hall, 1999).
  17. S. Darmawan and M. K. Chin, "Critical coupling, oscillation, reflection, and transmission in optical waveguide-ring resonator systems," J. Opt. Soc. Am. B 23, 834-841 (2006).
    [CrossRef]
  18. J. Capmany and M. A. Muriel, "A new transfer matrix formalism for the analysis of fiber ring resonators: compound coupled structures for FDMA demultiplexing," J. Lightwave Technol. 8, 1904-1919 (1990).
    [CrossRef]
  19. J. Capmany, P. Muñoz, J. D. Domenech, and M. A. Muriel, "Apodized coupled resonator waveguides," Opt. Express 15, 10196-10206 (2007).
    [CrossRef] [PubMed]
  20. G. Gavioli and P. Bayvel, "Amplitude jitter suppression using patterning-tolerant, all-optical 3R regenerator," Electron. Lett. 40, 688-690 (2004).
    [CrossRef]

2008 (1)

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]

2007 (3)

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]

Z. Jiang, C. -B. Huang, D. E. Leaird, and A. M. Weiner, "Spectral line-by-line pulse shaping for optical arbitrary pulse-train generation," J. Opt. Soc. Am. B 24, 2124-2128 (2007).
[CrossRef]

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

2006 (2)

S. Darmawan and M. K. Chin, "Critical coupling, oscillation, reflection, and transmission in optical waveguide-ring resonator systems," J. Opt. Soc. Am. B 23, 834-841 (2006).
[CrossRef]

B. Xia and L. R. Chen, "Ring resonator arrays for pulse repetition rate multiplication and shaping," IEEE Photon. Technol. Lett. 18, 1999-2001 (2006).
[CrossRef]

2005 (1)

Q1. B. Xia and L. R. Chen, "A direct temporal domain approach for pulse-repetition rate multiplication with arbitrary envelope shaping," IEEE J. Sel. Top. Quantum Electron. 11, 165-172 (2005).
[CrossRef]

2004 (2)

G. Gavioli and P. Bayvel, "Amplitude jitter suppression using patterning-tolerant, all-optical 3R regenerator," Electron. Lett. 40, 688-690 (2004).
[CrossRef]

J. Azaña, "Pulse repetition rate multiplication using phase-only filtering," Electron. Lett. 40, 449-451 (2004).
[CrossRef]

2003 (2)

K. Yiannopoulos, K. Vyrsokinos, E. Kehayas, N. Pleros, K. Vlachos, H. Avramopoulos, and G. Guekos, "Rate multiplication by double-passing Fabry-Perot filtering," IEEE Photon. Technol. Lett. 15, 1294-1296 (2003).
[CrossRef]

D. S. Seo, D. E. Leaird, A. M. Weiner, S. Kamei, M. Ishii, A. Sugita, and K. Okamoto, "Continuous 500 GHz pulse train generation by repetition-rate multiplication using arrayed waveguide grating," Electron. Lett. 39, 1138-1140 (2003).
[CrossRef]

2002 (1)

J. Azana and L. R. Chen, "Multiwavelength optical signal processing using multistage ring resonators," IEEE Photon. Technol. Lett. 14, 654-656 (2002).
[CrossRef]

2000 (3)

S. Longhi, M. Marano, P. Laporta, and V. Pruneri, "Multiplication and reshaping of high-repetition-rate optical pulse trains using highly dispersive fiber Bragg gratings," IEEE Photon. Technol. Lett. 12, 1498-1500 (2000).
[CrossRef]

P. Petropoulos, M. Ibsen, M. N. Zervas, and D. J. Richardson, "Generation of a 40-GHz pulse stream by pulse multiplication with a sampled fiber Bragg grating," Opt. Lett. 25, 521-523 (2000).
[CrossRef]

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)

J. Azaña and M. A. Muriel, "Temporal Talbot effect in fiber gratings and its applications," Appl. Opt. 38, 6700-6704 (1999).
[CrossRef]

1998 (2)

S. Arahira, S. Kutsuzawa, Y. Matsui, D. Kunimatsu, and Y. Ogawa, "Repetition-frequency multiplication of mode-locked pulses using fiber dispersion," J. Lightwave Technol. 16, 405-410 (1998).
[CrossRef]

I. Shake, H. Takara, S. Kawanishi, and M. Saruwatari,"High-repetition-rate optical pulse generation by using chirped optical pulses," Electron. Lett. 34, 792-793 (1998).
[CrossRef]

1990 (1)

J. Capmany and M. A. Muriel, "A new transfer matrix formalism for the analysis of fiber ring resonators: compound coupled structures for FDMA demultiplexing," J. Lightwave Technol. 8, 1904-1919 (1990).
[CrossRef]

Arahira, S.

S. Arahira, S. Kutsuzawa, Y. Matsui, D. Kunimatsu, and Y. Ogawa, "Repetition-frequency multiplication of mode-locked pulses using fiber dispersion," J. Lightwave Technol. 16, 405-410 (1998).
[CrossRef]

Avramopoulos, H.

K. Yiannopoulos, K. Vyrsokinos, E. Kehayas, N. Pleros, K. Vlachos, H. Avramopoulos, and G. Guekos, "Rate multiplication by double-passing Fabry-Perot filtering," IEEE Photon. Technol. Lett. 15, 1294-1296 (2003).
[CrossRef]

Azana, J.

J. Azana and L. R. Chen, "Multiwavelength optical signal processing using multistage ring resonators," IEEE Photon. Technol. Lett. 14, 654-656 (2002).
[CrossRef]

Azaña, J.

J. Azaña, "Pulse repetition rate multiplication using phase-only filtering," Electron. Lett. 40, 449-451 (2004).
[CrossRef]

J. Azaña and M. A. Muriel, "Temporal Talbot effect in fiber gratings and its applications," Appl. Opt. 38, 6700-6704 (1999).
[CrossRef]

Bayvel, P.

G. Gavioli and P. Bayvel, "Amplitude jitter suppression using patterning-tolerant, all-optical 3R regenerator," Electron. Lett. 40, 688-690 (2004).
[CrossRef]

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 demultiplexing," J. Lightwave Technol. 8, 1904-1919 (1990).
[CrossRef]

Caraquitena, J.

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]

Chen, L. R.

B. Xia and L. R. Chen, "Ring resonator arrays for pulse repetition rate multiplication and shaping," IEEE Photon. Technol. Lett. 18, 1999-2001 (2006).
[CrossRef]

Q1. B. Xia and L. R. Chen, "A direct temporal domain approach for pulse-repetition rate multiplication with arbitrary envelope shaping," IEEE J. Sel. Top. Quantum Electron. 11, 165-172 (2005).
[CrossRef]

J. Azana and L. R. Chen, "Multiwavelength optical signal processing using multistage ring resonators," IEEE Photon. Technol. Lett. 14, 654-656 (2002).
[CrossRef]

Chin, M. K.

S. Darmawan and M. K. Chin, "Critical coupling, oscillation, reflection, and transmission in optical waveguide-ring resonator systems," J. Opt. Soc. Am. B 23, 834-841 (2006).
[CrossRef]

Darmawan, S.

S. Darmawan and M. K. Chin, "Critical coupling, oscillation, reflection, and transmission in optical waveguide-ring resonator systems," J. Opt. Soc. Am. B 23, 834-841 (2006).
[CrossRef]

Domenech, J. D.

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

Gavioli, G.

G. Gavioli and P. Bayvel, "Amplitude jitter suppression using patterning-tolerant, all-optical 3R regenerator," Electron. Lett. 40, 688-690 (2004).
[CrossRef]

Guekos, G.

K. Yiannopoulos, K. Vyrsokinos, E. Kehayas, N. Pleros, K. Vlachos, H. Avramopoulos, and G. Guekos, "Rate multiplication by double-passing Fabry-Perot filtering," IEEE Photon. Technol. Lett. 15, 1294-1296 (2003).
[CrossRef]

Huang, C. -B.

Z. Jiang, C. -B. Huang, D. E. Leaird, and A. M. Weiner, "Spectral line-by-line pulse shaping for optical arbitrary pulse-train generation," J. Opt. Soc. Am. B 24, 2124-2128 (2007).
[CrossRef]

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]

Ibsen, M.

P. Petropoulos, M. Ibsen, M. N. Zervas, and D. J. Richardson, "Generation of a 40-GHz pulse stream by pulse multiplication with a sampled fiber Bragg grating," Opt. Lett. 25, 521-523 (2000).
[CrossRef]

Ishii, M.

D. S. Seo, D. E. Leaird, A. M. Weiner, S. Kamei, M. Ishii, A. Sugita, and K. Okamoto, "Continuous 500 GHz pulse train generation by repetition-rate multiplication using arrayed waveguide grating," Electron. Lett. 39, 1138-1140 (2003).
[CrossRef]

Jiang, Z.

Z. Jiang, C. -B. Huang, D. E. Leaird, and A. M. Weiner, "Spectral line-by-line pulse shaping for optical arbitrary pulse-train generation," J. Opt. Soc. Am. B 24, 2124-2128 (2007).
[CrossRef]

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]

Kamei, S.

D. S. Seo, D. E. Leaird, A. M. Weiner, S. Kamei, M. Ishii, A. Sugita, and K. Okamoto, "Continuous 500 GHz pulse train generation by repetition-rate multiplication using arrayed waveguide grating," Electron. Lett. 39, 1138-1140 (2003).
[CrossRef]

Kawanishi, S.

I. Shake, H. Takara, S. Kawanishi, and M. Saruwatari,"High-repetition-rate optical pulse generation by using chirped optical pulses," Electron. Lett. 34, 792-793 (1998).
[CrossRef]

Kehayas, E.

K. Yiannopoulos, K. Vyrsokinos, E. Kehayas, N. Pleros, K. Vlachos, H. Avramopoulos, and G. Guekos, "Rate multiplication by double-passing Fabry-Perot filtering," IEEE Photon. Technol. Lett. 15, 1294-1296 (2003).
[CrossRef]

Kunimatsu, D.

S. Arahira, S. Kutsuzawa, Y. Matsui, D. Kunimatsu, and Y. Ogawa, "Repetition-frequency multiplication of mode-locked pulses using fiber dispersion," J. Lightwave Technol. 16, 405-410 (1998).
[CrossRef]

Kutsuzawa, S.

S. Arahira, S. Kutsuzawa, Y. Matsui, D. Kunimatsu, and Y. Ogawa, "Repetition-frequency multiplication of mode-locked pulses using fiber dispersion," J. Lightwave Technol. 16, 405-410 (1998).
[CrossRef]

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]

Laporta, P.

S. Longhi, M. Marano, P. Laporta, and V. Pruneri, "Multiplication and reshaping of high-repetition-rate optical pulse trains using highly dispersive fiber Bragg gratings," IEEE Photon. Technol. Lett. 12, 1498-1500 (2000).
[CrossRef]

Leaird, D. E.

Z. Jiang, C. -B. Huang, D. E. Leaird, and A. M. Weiner, "Spectral line-by-line pulse shaping for optical arbitrary pulse-train generation," J. Opt. Soc. Am. B 24, 2124-2128 (2007).
[CrossRef]

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]

D. S. Seo, D. E. Leaird, A. M. Weiner, S. Kamei, M. Ishii, A. Sugita, and K. Okamoto, "Continuous 500 GHz pulse train generation by repetition-rate multiplication using arrayed waveguide grating," Electron. Lett. 39, 1138-1140 (2003).
[CrossRef]

Longhi, S.

S. Longhi, M. Marano, P. Laporta, and V. Pruneri, "Multiplication and reshaping of high-repetition-rate optical pulse trains using highly dispersive fiber Bragg gratings," IEEE Photon. Technol. Lett. 12, 1498-1500 (2000).
[CrossRef]

Marano, M.

S. Longhi, M. Marano, P. Laporta, and V. Pruneri, "Multiplication and reshaping of high-repetition-rate optical pulse trains using highly dispersive fiber Bragg gratings," IEEE Photon. Technol. Lett. 12, 1498-1500 (2000).
[CrossRef]

Matsui, Y.

S. Arahira, S. Kutsuzawa, Y. Matsui, D. Kunimatsu, and Y. Ogawa, "Repetition-frequency multiplication of mode-locked pulses using fiber dispersion," J. Lightwave Technol. 16, 405-410 (1998).
[CrossRef]

Muñoz, P.

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

Muriel, M. A.

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]

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

J. Azaña and M. A. Muriel, "Temporal Talbot effect in fiber gratings and its applications," Appl. Opt. 38, 6700-6704 (1999).
[CrossRef]

J. Capmany and M. A. Muriel, "A new transfer matrix formalism for the analysis of fiber ring resonators: compound coupled structures for FDMA demultiplexing," J. Lightwave Technol. 8, 1904-1919 (1990).
[CrossRef]

Ogawa, Y.

S. Arahira, S. Kutsuzawa, Y. Matsui, D. Kunimatsu, and Y. Ogawa, "Repetition-frequency multiplication of mode-locked pulses using fiber dispersion," J. Lightwave Technol. 16, 405-410 (1998).
[CrossRef]

Okamoto, K.

D. S. Seo, D. E. Leaird, A. M. Weiner, S. Kamei, M. Ishii, A. Sugita, and K. Okamoto, "Continuous 500 GHz pulse train generation by repetition-rate multiplication using arrayed waveguide grating," Electron. Lett. 39, 1138-1140 (2003).
[CrossRef]

Petropoulos, P.

P. Petropoulos, M. Ibsen, M. N. Zervas, and D. J. Richardson, "Generation of a 40-GHz pulse stream by pulse multiplication with a sampled fiber Bragg grating," Opt. Lett. 25, 521-523 (2000).
[CrossRef]

Pleros, N.

K. Yiannopoulos, K. Vyrsokinos, E. Kehayas, N. Pleros, K. Vlachos, H. Avramopoulos, and G. Guekos, "Rate multiplication by double-passing Fabry-Perot filtering," IEEE Photon. Technol. Lett. 15, 1294-1296 (2003).
[CrossRef]

Preciado, M. A.

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]

Pruneri, V.

S. Longhi, M. Marano, P. Laporta, and V. Pruneri, "Multiplication and reshaping of high-repetition-rate optical pulse trains using highly dispersive fiber Bragg gratings," IEEE Photon. Technol. Lett. 12, 1498-1500 (2000).
[CrossRef]

Richardson, D. J.

P. Petropoulos, M. Ibsen, M. N. Zervas, and D. J. Richardson, "Generation of a 40-GHz pulse stream by pulse multiplication with a sampled fiber Bragg grating," Opt. Lett. 25, 521-523 (2000).
[CrossRef]

Saruwatari, M.

I. Shake, H. Takara, S. Kawanishi, and M. Saruwatari,"High-repetition-rate optical pulse generation by using chirped optical pulses," Electron. Lett. 34, 792-793 (1998).
[CrossRef]

Seo, D. S.

D. S. Seo, D. E. Leaird, A. M. Weiner, S. Kamei, M. Ishii, A. Sugita, and K. Okamoto, "Continuous 500 GHz pulse train generation by repetition-rate multiplication using arrayed waveguide grating," Electron. Lett. 39, 1138-1140 (2003).
[CrossRef]

Shake, I.

I. Shake, H. Takara, S. Kawanishi, and M. Saruwatari,"High-repetition-rate optical pulse generation by using chirped optical pulses," Electron. Lett. 34, 792-793 (1998).
[CrossRef]

Sugita, A.

D. S. Seo, D. E. Leaird, A. M. Weiner, S. Kamei, M. Ishii, A. Sugita, and K. Okamoto, "Continuous 500 GHz pulse train generation by repetition-rate multiplication using arrayed waveguide grating," Electron. Lett. 39, 1138-1140 (2003).
[CrossRef]

Takara, H.

I. Shake, H. Takara, S. Kawanishi, and M. Saruwatari,"High-repetition-rate optical pulse generation by using chirped optical pulses," Electron. Lett. 34, 792-793 (1998).
[CrossRef]

Vlachos, K.

K. Yiannopoulos, K. Vyrsokinos, E. Kehayas, N. Pleros, K. Vlachos, H. Avramopoulos, and G. Guekos, "Rate multiplication by double-passing Fabry-Perot filtering," IEEE Photon. Technol. Lett. 15, 1294-1296 (2003).
[CrossRef]

Vyrsokinos, K.

K. Yiannopoulos, K. Vyrsokinos, E. Kehayas, N. Pleros, K. Vlachos, H. Avramopoulos, and G. Guekos, "Rate multiplication by double-passing Fabry-Perot filtering," IEEE Photon. Technol. Lett. 15, 1294-1296 (2003).
[CrossRef]

Weiner, A. M.

Z. Jiang, C. -B. Huang, D. E. Leaird, and A. M. Weiner, "Spectral line-by-line pulse shaping for optical arbitrary pulse-train generation," J. Opt. Soc. Am. B 24, 2124-2128 (2007).
[CrossRef]

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]

D. S. Seo, D. E. Leaird, A. M. Weiner, S. Kamei, M. Ishii, A. Sugita, and K. Okamoto, "Continuous 500 GHz pulse train generation by repetition-rate multiplication using arrayed waveguide grating," Electron. Lett. 39, 1138-1140 (2003).
[CrossRef]

Xia, B.

B. Xia and L. R. Chen, "Ring resonator arrays for pulse repetition rate multiplication and shaping," IEEE Photon. Technol. Lett. 18, 1999-2001 (2006).
[CrossRef]

Q1. B. Xia and L. R. Chen, "A direct temporal domain approach for pulse-repetition rate multiplication with arbitrary envelope shaping," IEEE J. Sel. Top. Quantum Electron. 11, 165-172 (2005).
[CrossRef]

Yiannopoulos, K.

K. Yiannopoulos, K. Vyrsokinos, E. Kehayas, N. Pleros, K. Vlachos, H. Avramopoulos, and G. Guekos, "Rate multiplication by double-passing Fabry-Perot filtering," IEEE Photon. Technol. Lett. 15, 1294-1296 (2003).
[CrossRef]

Zervas, M. N.

P. Petropoulos, M. Ibsen, M. N. Zervas, and D. J. Richardson, "Generation of a 40-GHz pulse stream by pulse multiplication with a sampled fiber Bragg grating," Opt. Lett. 25, 521-523 (2000).
[CrossRef]

Appl. Opt. (1)

J. Azaña and M. A. Muriel, "Temporal Talbot effect in fiber gratings and its applications," Appl. Opt. 38, 6700-6704 (1999).
[CrossRef]

Electron. Lett. (4)

I. Shake, H. Takara, S. Kawanishi, and M. Saruwatari,"High-repetition-rate optical pulse generation by using chirped optical pulses," Electron. Lett. 34, 792-793 (1998).
[CrossRef]

J. Azaña, "Pulse repetition rate multiplication using phase-only filtering," Electron. Lett. 40, 449-451 (2004).
[CrossRef]

D. S. Seo, D. E. Leaird, A. M. Weiner, S. Kamei, M. Ishii, A. Sugita, and K. Okamoto, "Continuous 500 GHz pulse train generation by repetition-rate multiplication using arrayed waveguide grating," Electron. Lett. 39, 1138-1140 (2003).
[CrossRef]

G. Gavioli and P. Bayvel, "Amplitude jitter suppression using patterning-tolerant, all-optical 3R regenerator," Electron. Lett. 40, 688-690 (2004).
[CrossRef]

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

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Figures (6)

Fig. 1.
Fig. 1.

Architecture of the system. The periodic pulse train is processed by the all-pass optical structure. Eight optical structures composed by multiple APOCs are proposed (RR implementation showed).

Fig. 2.
Fig. 2.

All-pass optical structures for uniform envelope PRRM for 3× and 4× multiplication, both composed by two identical RR in cascade or coupled configuration.

Fig. 3.
Fig. 3.

Figure of merit and gradient function for [(a) and (e)] 3× coupled structure, [(b) and (f)] 3× cascade structure, [(c) and (g)] 4× coupled structure, and [(d) and (h)] 4× cascade structure.

Fig. 4.
Fig. 4.

All-pass optical structures for uniform envelope PRRM for (a) 6× multiplication and (b) 12× multiplication. These optical structures are composed by substructures corresponding to 2×, 3×, and 4× multiplication, which are marked with a dashed box.

Fig. 5.
Fig. 5.

Output-pulse-train intensity for 3×(blue), 4× (red), 6× (green), and 12× (yellow) uniform envelope PRRM corresponding to the examples, and the corresponding optical structures.

Fig. 6.
Fig. 6.

Envelope error coefficient, Err, for 3×(blue), 4× (red), 6× (green), and 12× (yellow).

Tables (1)

Tables Icon

Table 1. Summary of the Optical Structures Parameters Values Corresponding to 2×, 3×, and 4× Uniform Envelope PRRM, for a = 1, a=0.95, and a=0.9.

Equations (5)

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FM = var ( { C n } ) mean ( { C n } )
H casc ( ω ) = ( H sin gle ( ω ) ) 2 = ( r a e j ϕ ( ω ) 1 r a e j ϕ ( ω ) ) 2
ϕ ( ω ) = ω opt FSR = ( ω + ω 0 ) FSR = ω FSR + ϕ 0
H coupled = r ( 1 r a e 2 j ϕ ( ω ) ) ( a e j 2 ϕ ( ω ) ) ( r a e j 2 ϕ ( ω ) ) ( 1 r a e j 2 ϕ ( ω ) ) ( r a e j 2 ϕ ( ω ) ) ( r a e j 2 ϕ ( ω ) )
Err [ dB ] = 20 log 10 [ max ( { C n } ) min ( { C n } ) ]

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