Abstract

In this paper, optical pulse repetition rate multiplication based on a series-coupled double-ring resonator is proposed. First, the spectral characteristic of the series-coupled double-ring resonator is simulated and the optimum coupling coefficients to achieve a periodic flat-top passband are obtained. Then, high-quality pulse repetition rate multiplication is realized by periodically filtering out spectral lines of the input pulse train. Different multiplication factors N=2, 3, 4, 5 can be obtained by adjusting the ring radii. In addition, compared with a single-ring resonator, the multiplied output pulse train by a series-coupled double-ring resonator exhibits much better power uniformity.

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References

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  1. M. P. Fok, W. W. Tang, and C. Shu, “Higher order repetition rate multiplication for multi-wavelength pulsed source,” IEEE Photon. Technol. Lett. 18, 466–468 (2006).
    [Crossref]
  2. C. K. Chan and L.-K. Chen, “Theoretical analysis of high-repetition rate optical pulse multiplication using fiber-coupler loop configuration,” IEEE Photon. Technol. Lett. 7, 1145–1147 (1995).
    [Crossref]
  3. 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]
  4. 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]
  5. 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]
  6. J. Azana and M. A. Muriel, “Temporal self-imaging effects: theory and application for multiplying pulse repetition rates,” IEEE J. Sel. Top. Quantum Electron. 7, 728–744 (2001).
    [Crossref]
  7. S. Wang, B. Ciftcioglu, and H. Wu, “Microring-based optical pulse-train generator,” Opt. Express 18, 19314–19323 (2010).
    [Crossref]
  8. L. Xu, C. Li, H. K. Tsang, and C. W. Chow, “Optical frequency doubling for multichannel radio-over-fiber system based on integrated phase modulator and silicon coupled microring notch filter,” Electron. Lett. 45, 697–698 (2009).
    [Crossref]
  9. L. Xu, C. Li, C. W. Chow, and H. K. Tsang, “Optical mm-wave signal generation by frequency quadrupling using an optical modulator and silicon microresonator filter,” IEEE Photon. Technol. Lett. 21, 1211–1213 (2009).
    [Crossref]
  10. 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]
  11. B. Xia and L. R. Chen, “Arbitrary optical waveform generation using 2D ring resonator arrays,” Opt. Express 14, 6619–6627 (2006).
    [Crossref]
  12. M. Pu, H. Ji, L. H. Frandsen, M. Galili, L. K. Oxenlowe, and J. M. Hvam, “High-Q microring resonator with narrow free spectral range for pulse repetition rate multiplication,” in Conference on Lasers and Electro-Optics (2009), paper CThBB7.
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    [Crossref]
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    [Crossref]
  16. M. A. Preciado and M. A. Muriel, “All-pass optical structures for repetition rate multiplication,” Opt. Express 16, 11162–11168 (2008).
    [Crossref]

2012 (1)

2010 (1)

2009 (2)

L. Xu, C. Li, H. K. Tsang, and C. W. Chow, “Optical frequency doubling for multichannel radio-over-fiber system based on integrated phase modulator and silicon coupled microring notch filter,” Electron. Lett. 45, 697–698 (2009).
[Crossref]

L. Xu, C. Li, C. W. Chow, and H. K. Tsang, “Optical mm-wave signal generation by frequency quadrupling using an optical modulator and silicon microresonator filter,” IEEE Photon. Technol. Lett. 21, 1211–1213 (2009).
[Crossref]

2008 (1)

2006 (4)

D. Xiaowei, P. Li, and J. Shuisheng, “Characteristic analyses of series-coupled multiple-ring resonator filter,” Acta Opt. Sin. 26, 207–211 (2006).

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]

B. Xia and L. R. Chen, “Arbitrary optical waveform generation using 2D ring resonator arrays,” Opt. Express 14, 6619–6627 (2006).
[Crossref]

M. P. Fok, W. W. Tang, and C. Shu, “Higher order repetition rate multiplication for multi-wavelength pulsed source,” IEEE Photon. Technol. Lett. 18, 466–468 (2006).
[Crossref]

2005 (1)

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 (1)

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]

2001 (1)

J. Azana and M. A. Muriel, “Temporal self-imaging effects: theory and application for multiplying pulse repetition rates,” IEEE J. Sel. Top. Quantum Electron. 7, 728–744 (2001).
[Crossref]

1995 (1)

C. K. Chan and L.-K. Chen, “Theoretical analysis of high-repetition rate optical pulse multiplication using fiber-coupler loop configuration,” IEEE Photon. Technol. Lett. 7, 1145–1147 (1995).
[Crossref]

An, Y.

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 M. A. Muriel, “Temporal self-imaging effects: theory and application for multiplying pulse repetition rates,” IEEE J. Sel. Top. Quantum Electron. 7, 728–744 (2001).
[Crossref]

Chan, C. K.

C. K. Chan and L.-K. Chen, “Theoretical analysis of high-repetition rate optical pulse multiplication using fiber-coupler loop configuration,” IEEE Photon. Technol. Lett. 7, 1145–1147 (1995).
[Crossref]

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]

B. Xia and L. R. Chen, “Arbitrary optical waveform generation using 2D ring resonator arrays,” Opt. Express 14, 6619–6627 (2006).
[Crossref]

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]

Chen, L.-K.

C. K. Chan and L.-K. Chen, “Theoretical analysis of high-repetition rate optical pulse multiplication using fiber-coupler loop configuration,” IEEE Photon. Technol. Lett. 7, 1145–1147 (1995).
[Crossref]

Chow, C. W.

L. Xu, C. Li, H. K. Tsang, and C. W. Chow, “Optical frequency doubling for multichannel radio-over-fiber system based on integrated phase modulator and silicon coupled microring notch filter,” Electron. Lett. 45, 697–698 (2009).
[Crossref]

L. Xu, C. Li, C. W. Chow, and H. K. Tsang, “Optical mm-wave signal generation by frequency quadrupling using an optical modulator and silicon microresonator filter,” IEEE Photon. Technol. Lett. 21, 1211–1213 (2009).
[Crossref]

Ciftcioglu, B.

Ding, Y.

Fok, M. P.

M. P. Fok, W. W. Tang, and C. Shu, “Higher order repetition rate multiplication for multi-wavelength pulsed source,” IEEE Photon. Technol. Lett. 18, 466–468 (2006).
[Crossref]

Frandsen, L. H.

M. Pu, H. Ji, L. H. Frandsen, M. Galili, L. K. Oxenlowe, and J. M. Hvam, “High-Q microring resonator with narrow free spectral range for pulse repetition rate multiplication,” in Conference on Lasers and Electro-Optics (2009), paper CThBB7.

Galili, M.

M. Pu, H. Ji, L. H. Frandsen, M. Galili, L. K. Oxenlowe, and J. M. Hvam, “High-Q microring resonator with narrow free spectral range for pulse repetition rate multiplication,” in Conference on Lasers and Electro-Optics (2009), paper CThBB7.

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, B.

Hvam, J. M.

M. Pu, H. Ji, L. H. Frandsen, M. Galili, L. K. Oxenlowe, and J. M. Hvam, “High-Q microring resonator with narrow free spectral range for pulse repetition rate multiplication,” in Conference on Lasers and Electro-Optics (2009), paper CThBB7.

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]

Ji, H.

M. Pu, H. Ji, L. H. Frandsen, M. Galili, L. K. Oxenlowe, and J. M. Hvam, “High-Q microring resonator with narrow free spectral range for pulse repetition rate multiplication,” in Conference on Lasers and Electro-Optics (2009), paper CThBB7.

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]

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]

Leaird, D. E.

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]

Li, C.

L. Xu, C. Li, H. K. Tsang, and C. W. Chow, “Optical frequency doubling for multichannel radio-over-fiber system based on integrated phase modulator and silicon coupled microring notch filter,” Electron. Lett. 45, 697–698 (2009).
[Crossref]

L. Xu, C. Li, C. W. Chow, and H. K. Tsang, “Optical mm-wave signal generation by frequency quadrupling using an optical modulator and silicon microresonator filter,” IEEE Photon. Technol. Lett. 21, 1211–1213 (2009).
[Crossref]

Li, P.

D. Xiaowei, P. Li, and J. Shuisheng, “Characteristic analyses of series-coupled multiple-ring resonator filter,” Acta Opt. Sin. 26, 207–211 (2006).

Muriel, M. A.

M. A. Preciado and M. A. Muriel, “All-pass optical structures for repetition rate multiplication,” Opt. Express 16, 11162–11168 (2008).
[Crossref]

J. Azana and M. A. Muriel, “Temporal self-imaging effects: theory and application for multiplying pulse repetition rates,” IEEE J. Sel. Top. Quantum Electron. 7, 728–744 (2001).
[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]

Ou, H.

Oxenlowe, L. K.

M. Pu, H. Ji, L. H. Frandsen, M. Galili, L. K. Oxenlowe, and J. M. Hvam, “High-Q microring resonator with narrow free spectral range for pulse repetition rate multiplication,” in Conference on Lasers and Electro-Optics (2009), paper CThBB7.

Ozolins, O.

Peucheret, C.

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.

Pu, M.

M. Pu, H. Ji, L. H. Frandsen, M. Galili, L. K. Oxenlowe, and J. M. Hvam, “High-Q microring resonator with narrow free spectral range for pulse repetition rate multiplication,” in Conference on Lasers and Electro-Optics (2009), paper CThBB7.

Schwelb, O.

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]

Shu, C.

M. P. Fok, W. W. Tang, and C. Shu, “Higher order repetition rate multiplication for multi-wavelength pulsed source,” IEEE Photon. Technol. Lett. 18, 466–468 (2006).
[Crossref]

Shuisheng, J.

D. Xiaowei, P. Li, and J. Shuisheng, “Characteristic analyses of series-coupled multiple-ring resonator filter,” Acta Opt. Sin. 26, 207–211 (2006).

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]

Tang, W. W.

M. P. Fok, W. W. Tang, and C. Shu, “Higher order repetition rate multiplication for multi-wavelength pulsed source,” IEEE Photon. Technol. Lett. 18, 466–468 (2006).
[Crossref]

Tsang, H. K.

L. Xu, C. Li, C. W. Chow, and H. K. Tsang, “Optical mm-wave signal generation by frequency quadrupling using an optical modulator and silicon microresonator filter,” IEEE Photon. Technol. Lett. 21, 1211–1213 (2009).
[Crossref]

L. Xu, C. Li, H. K. Tsang, and C. W. Chow, “Optical frequency doubling for multichannel radio-over-fiber system based on integrated phase modulator and silicon coupled microring notch filter,” Electron. Lett. 45, 697–698 (2009).
[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]

Wang, S.

Weiner, A. 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]

Wu, H.

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]

B. Xia and L. R. Chen, “Arbitrary optical waveform generation using 2D ring resonator arrays,” Opt. Express 14, 6619–6627 (2006).
[Crossref]

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]

Xiaowei, D.

D. Xiaowei, P. Li, and J. Shuisheng, “Characteristic analyses of series-coupled multiple-ring resonator filter,” Acta Opt. Sin. 26, 207–211 (2006).

Xiong, M.

Xu, L.

L. Xu, C. Li, C. W. Chow, and H. K. Tsang, “Optical mm-wave signal generation by frequency quadrupling using an optical modulator and silicon microresonator filter,” IEEE Photon. Technol. Lett. 21, 1211–1213 (2009).
[Crossref]

L. Xu, C. Li, H. K. Tsang, and C. W. Chow, “Optical frequency doubling for multichannel radio-over-fiber system based on integrated phase modulator and silicon coupled microring notch filter,” Electron. Lett. 45, 697–698 (2009).
[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]

Zhang, X.

Acta Opt. Sin. (1)

D. Xiaowei, P. Li, and J. Shuisheng, “Characteristic analyses of series-coupled multiple-ring resonator filter,” Acta Opt. Sin. 26, 207–211 (2006).

Electron. Lett. (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]

L. Xu, C. Li, H. K. Tsang, and C. W. Chow, “Optical frequency doubling for multichannel radio-over-fiber system based on integrated phase modulator and silicon coupled microring notch filter,” Electron. Lett. 45, 697–698 (2009).
[Crossref]

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

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 M. A. Muriel, “Temporal self-imaging effects: theory and application for multiplying pulse repetition rates,” IEEE J. Sel. Top. Quantum Electron. 7, 728–744 (2001).
[Crossref]

IEEE Photon. Technol. Lett. (5)

M. P. Fok, W. W. Tang, and C. Shu, “Higher order repetition rate multiplication for multi-wavelength pulsed source,” IEEE Photon. Technol. Lett. 18, 466–468 (2006).
[Crossref]

C. K. Chan and L.-K. Chen, “Theoretical analysis of high-repetition rate optical pulse multiplication using fiber-coupler loop configuration,” IEEE Photon. Technol. Lett. 7, 1145–1147 (1995).
[Crossref]

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]

L. Xu, C. Li, C. W. Chow, and H. K. Tsang, “Optical mm-wave signal generation by frequency quadrupling using an optical modulator and silicon microresonator filter,” IEEE Photon. Technol. Lett. 21, 1211–1213 (2009).
[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]

J. Lightwave Technol. (1)

Opt. Express (4)

Other (1)

M. Pu, H. Ji, L. H. Frandsen, M. Galili, L. K. Oxenlowe, and J. M. Hvam, “High-Q microring resonator with narrow free spectral range for pulse repetition rate multiplication,” in Conference on Lasers and Electro-Optics (2009), paper CThBB7.

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Figures (5)

Fig. 1.
Fig. 1. (a) Series-coupled double-ring resonator, (b) directional coupler, and (c) uncoupled half-ring.
Fig. 2.
Fig. 2. (a) Spectral responses of series-coupled double-ring resonator. (b),(c) Influence of coupling coefficients on the resonant passband within the zoom-in area of (a). (b) Internal coupling coefficients K1=0.1 (solid), 0.2 (dotted), and 0.3 (dashed) when K0=K2=0.1. (c) External coupling coefficients K0=K2=0.1 (solid), 0.2 (dotted), 0.3 (dashed), and 0.426 (red) when K1=0.1.
Fig. 3.
Fig. 3. (a) Input pulse train of 10 GHz. (b) Optical spectra of input pulse train (black line) and series-coupled double-ring resonator (red line). (c) Optical spectrum of output pulse train. (d) Output pulse train with multiplication factor 2. (e) Single pulse with different resonator radii deviation.
Fig. 4.
Fig. 4. Output pulse trains with multiplication factors 3 (black), 4 (blue), and 5 (red).
Fig. 5.
Fig. 5. Comparison of power nonuniformity. Inset: output pulse trains by single-ring and double-ring resonator with factor 10.

Equations (4)

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

G=j{k=1,2[τk1/2·ejβ·πRkKkτk1/2·ejβ·πRk·TkKkτk1/2·ejβ·πRk·TkKkτk1/2·ejβ·πRkKk]}·[1K0T0K0T0K01K0],
D(λ)=E4E1=jK1K2K3τ11/2τ21/2ej(ϕ1+ϕ2)/21(T1T2τ1ejϕ1+T2T3τ2ejϕ2)+T1T3τ1τ2ej(ϕ1+ϕ2).
D(t)=p=F1(D(λ))|t=p/FSR·δ(tp/FSR).
O(t)=ain(t)D(t)=p=q=F1(D(ω))|t=qT+p/FSR·ain(tqTp/FSR).

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