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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 16 — Aug. 3, 2009
  • pp: 14098–14103
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Low power four wave mixing in an integrated, micro-ring resonator with Q = 1.2 million

M. Ferrera, D. Duchesne, L. Razzari, M. Peccianti, R. Morandotti, P. Cheben, S. Janz, D.-X. Xu, B. E. Little, S. Chu, and D. J. Moss  »View Author Affiliations


Optics Express, Vol. 17, Issue 16, pp. 14098-14103 (2009)
http://dx.doi.org/10.1364/OE.17.014098


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Abstract

We demonstrate efficient, low power, continuous-wave four-wave mixing in the C-band, using a high index doped silica glass micro ring resonator having a Q-factor of 1.2 million. A record high conversion efficiency for this kind of device is achieved over a bandwidth of 20nm. We show theoretically that the characteristic low dispersion enables phase-matching over a tuning range > 160nm.

© 2009 OSA

1. Introduction

Last year [15

15. M. Ferrera, L. Razzari, D. Duchesne, R. Morandotti, Z. Yang, M. Liscidini, J. E. Sipe, S. Chu, B. E. Little, and D. J. Moss, “Low-power continuous-wave nonlinear optics in doped silica glass integrated waveguide structures,” Nat. Photonics 2(12), 737–740 (2008). [CrossRef]

], we reported the first demonstration of continuous-wave (CW) nonlinear optics in high index doped silica glass waveguides, by achieving wavelength conversion via FWM in an integrated ring resonator (Q = 65,000) with only a few mW of pump power. This established the capability of robust high index glasses, with negligible nonlinear absorption [16

16. D. Duchesne, M. Ferrera, L. Razzari, R. Morandotti, B. E. Little, S. T. Chu, and D. J. Moss, “Efficient self-phase modulation in low loss, high index doped silica glass integrated waveguides,” Opt. Express 17(3), 1865–1870 (2009). [CrossRef] [PubMed]

], to provide a platform for all-optical nonlinear photonic integrated circuits, with the added benefit of CMOS compatible (low temperature) fabrication processes. More recently [17

17. J. S. Levy, A. Gondarenko, M. A. Foster, A. C. Turner-Foster, A. L. Gaeta, and M. Lipson, “CMOS compatible multiple wavelength source,” in Conference for Lasers and Electro-Optics, Postdeadline Paper CPDB8, (2009).

], similar characteristics and performances have also been reported in silicon nitride, which closely resembles high index doped silica glass in terms of both nonlinearity and index.

The four wave mixing is a χ(3) (third order susceptibility) parametric process where two pump photons mix with a signal photon to yield an idler photon, whose frequency is established through energy conservation:

2υp=υs+υi,
(1)

where νp, νs and νi are the pump, signal, and idler frequencies respectively. This process can also occur spontaneously, without seeding by a separate input at frequency νs, allowing the possibility of correlated photon pair generation. The classical effect (with seeding) is stronger and is the basis of numerous all-optical signal processing schemes in integrated devices and optical fibers [6

6. R. Salem, M. A. Foster, A. C. Turner, D. F. Geraghty, M. Lipson, and A. L. Gaeta, “Signal regeneration using low-power four-wave mixing on silicon chip,” Nat. Photonics 2(1), 35–38 (2007). [CrossRef]

,18

18. M. D. Pelusi, F. Luan, E. Magi, M. R. E. Lamont, D. J. Moss, B. J. Eggleton, J. S. Sanghera, L. B. Shaw, and I. D. Aggarwal, “High bit rate all-optical signal processing in a fiber photonic wire,” Opt. Express 16(15), 11506–11512 (2008). [CrossRef] [PubMed]

]. To take advantage of the resonant enhancement for FWM in a ring resonator, the pump and signal frequencies are typically aligned to resonances, and if the process is phase matched, the idler wave will also be resonant, yielding a tremendous enhancement in efficiency.

2. Experiment

The high Q ring resonator we studied has a radius R = 135μm and a free spectral range (FSR) of 200GHz (see Fig. 1(a)). The ring is vertically coupled to bus waveguides, both of which are composed of high-index n = 1.7 doped silica glass (Hydex®) [15

15. M. Ferrera, L. Razzari, D. Duchesne, R. Morandotti, Z. Yang, M. Liscidini, J. E. Sipe, S. Chu, B. E. Little, and D. J. Moss, “Low-power continuous-wave nonlinear optics in doped silica glass integrated waveguide structures,” Nat. Photonics 2(12), 737–740 (2008). [CrossRef]

,16

16. D. Duchesne, M. Ferrera, L. Razzari, R. Morandotti, B. E. Little, S. T. Chu, and D. J. Moss, “Efficient self-phase modulation in low loss, high index doped silica glass integrated waveguides,” Opt. Express 17(3), 1865–1870 (2009). [CrossRef] [PubMed]

]. The linear transmission spectrum was measured from 1460nm to 1630nm with an Agilent 81600B CW tunable laser (with an 81619A photodetector). Spectra were taken with a resolution of 0.3pm, a balance between managing thermal stability and accurately measuring the 1.3pm (or 160MHz) linewidth of the device (Fig. 1(b)). This linewidth is equivalent to a Q-factor of 1.2 million, the highest reported for a monolithically integrated device (ie., excluding micro-toroids and spheres). Since the resonance can shift by as much as a half-width with a temperature change of only ~ 0.1C, the chip was mounted on a temperature controlled stage with thermocouple feedback in order to maintain alignment of the resonances to the optical wavelengths.

Fig. 1. Linear transmission spectrum of the ring resonator recorded at the Drop port (a) and high resolution detail for a typical resonance (b) (with a lorentzian fit) showing a resonance width of 1.3pm. The variation in resonance strengths in a) are mainly a result of the 0.3pm spectral resolution.

The dispersion of the ring resonator can be determined from the experimentally measured resonance wavelengths using

mλm=nmL=nm2πR,
(2)

βmnmωmc=mR,
(3)

using the experimentally measured resonant frequencies from 1460 to 1630nm. To obtain the dispersion we fit the propagation constant to a 4th order polynomial and took the second order derivative with respect to the angular frequency.

For the FWM experiments (Fig. 2) the pump and signal beams from two CW tunable lasers (Agilent model 8164A and 8164B) were tuned to resonances of the ring resonator, then passed through two fiber polarization controllers and then coupled into the “on-chip” ring resonator via fiber pigtails. The output of both the Drop and Through ports were then measured via an optical spectrum analyzer (OSA) and power meter respectively.

Fig. 2. FWM experimental setup.

3. Results and Discussion

The resultant group velocity dispersion is shown in Fig. 3 for both the quasi- TE and TM modes. The dispersion for both modes is small and anomalous over most of the C-band. At 1550nm we obtain an anomalous GVD of β2 = -3.1 ± 0.9 ps2/km (D = 2.5 ± 0.7 ps/nm/km) for the TM mode and -10 ± 0.9 ps2/km (D = 8 ± 0.7 ps/nm/km) for the TE mode. The zero dispersion points were determined to be at 1560nm and 1595nm for the TM and TE modes respectively. These results are promising for FWM in the telecommunications bands, as a low dispersion implies low phase mismatch, and hence large conversion efficiency.

Fig. 3. Group velocity dispersion of the resonator obtained by fitting the experimentally measured resonance frequencies. The fits include up to 4th order dispersion terms.

The results for two FWM experiments are presented in Fig. 4, which shows the spectrum out of the Drop port. In the first experiment, the pump and signal wavelengths were offset by one FSR (200GHz) near 1550nm, while in the second experiment the pump was shifted to ~1600nm and the signal was six FSRs away (1.2THz). With incident pump and signal powers of 8.8mW and 1.25mW, respectively, we obtained an external conversion efficiency (defined as the ratio of the output idler power to the input signal power, thus accounting for all coupling, insertion and propagation losses) of ~ -36dB for both experiments.

Fig. 4. FWM experimental results for pump and signal wavelengths tuned to adjacent resonances for the TE mode (200GHz) (a) and 6 resonances apart (~1.2THz) for the TM mode (b). The 3rd and 4th idlers (a) demonstrate the onset of cascaded FWM. Note the linewidths are broader than in Fig. 1 because of the limited OSA resolution (15pm).

The internal efficiency is estimated to be -26dB for both experiments using coupling losses from [15

15. M. Ferrera, L. Razzari, D. Duchesne, R. Morandotti, Z. Yang, M. Liscidini, J. E. Sipe, S. Chu, B. E. Little, and D. J. Moss, “Low-power continuous-wave nonlinear optics in doped silica glass integrated waveguide structures,” Nat. Photonics 2(12), 737–740 (2008). [CrossRef]

,16

16. D. Duchesne, M. Ferrera, L. Razzari, R. Morandotti, B. E. Little, S. T. Chu, and D. J. Moss, “Efficient self-phase modulation in low loss, high index doped silica glass integrated waveguides,” Opt. Express 17(3), 1865–1870 (2009). [CrossRef] [PubMed]

], which is 23dB higher than previously reported in ring resonators [15

15. M. Ferrera, L. Razzari, D. Duchesne, R. Morandotti, Z. Yang, M. Liscidini, J. E. Sipe, S. Chu, B. E. Little, and D. J. Moss, “Low-power continuous-wave nonlinear optics in doped silica glass integrated waveguide structures,” Nat. Photonics 2(12), 737–740 (2008). [CrossRef]

]. This agrees with the theoretical undepleted pump model which predicts [12

12. P. P. Absil, J. V. Hryniewicz, B. E. Little, P. S. Cho, R. A. Wilson, L. G. Joneckis, and P.-T. Ho, “Wavelength conversion in GaAs micro-ring resonators,” Opt. Lett. 25(8), 554–556 (2000). [CrossRef]

]:

η=PIdlerPSignal=L·γ2·(FE)8·PPump2,
(6)

where η is the internal conversion efficiency, L is the resonator length, the P’s are the optical powers, and FE is the field enhancement factor [15

15. M. Ferrera, L. Razzari, D. Duchesne, R. Morandotti, Z. Yang, M. Liscidini, J. E. Sipe, S. Chu, B. E. Little, and D. J. Moss, “Low-power continuous-wave nonlinear optics in doped silica glass integrated waveguide structures,” Nat. Photonics 2(12), 737–740 (2008). [CrossRef]

] estimated from the resonator geometry. Our high conversion efficiency is thus seen to be a direct result of the field enhancement factor in this high Q-factor resonator (FE = 17.9). The similar efficiencies we obtained in the two FWM experiments, despite the different pump wavelengths and pump/signal wavelength offsets, is a reflection of the very low net dispersion, which is also responsible for the onset of the cascaded FWM observable in Fig. 4(a).

The phase matching condition for FWM in ring resonators can expressed in terms of the requirement matching the idler frequency (Eq. (1)) to a ring resonance; i.e.:

Δυ=υiυres<ΔυFWHM2,
(7)

where ∆νFWHM is the resonance linewidth. Figure 5 shows surface plots of this frequency detuning as a function of pump frequency and pump / signal frequency offset, obtained from the experimentally measured dispersion. The black diagonal band in Fig. 5 reflects the range over which our experimental data were taken; the colored regions are where FWM is phase matched according to Eq. (7), whereas the black region is where it is not phasematched. In particular, for a pump frequency near 193THz, we expect a tuning range of > ±10THz, or ± 80nm (160nm full range) for the quasi-TE polarized mode. This tuning range is remarkable given the extremely narrow linewidth of our ring resonators (160MHz), and is a direct result of the zero-GVD crossings.

Fig. 5. Idler detuning (see Eq. (7)) for TM (a) and TE (b) polarizations. ∆ν is the difference between pump and signal frequencies (both independently tuned to resonances). Black regions represent non-phase matched conditions (where the idler is further than a FWHM from a central resonance frequency), whereas colored regions represent varying degrees of phase matching, with blue representing ideal phase matching. The black band reflects the region where experimental data was taken for the dispersion measurements.

4. Conclusions

Acknowledgements

This work was supported by the Australian Research Council Centres of Excellence program, the FQRNT (Le Fonds Québécois de la Recherche sur la Nature et les Technologies), the Natural Sciences and Engineering Research Council of Canada (NSERC), NSERC Strategic and Discover Projects and the INRS. L. R. and M. P. wishes to acknowledge a Marie Curie Outgoing International Fellowship contract no. 040514 and TOBIAS-PIOF-GA-2008-221262 respectively. We are also thankful to Edith Post for technical assistance.

References and links

1.

P. Kolchin, S. Du, C. Belthangady, G. Y. Yin, S. E. Harris, and E. L. Ginzton, “Generation of narrow-bandwidth paired photons: use of a single driving laser,” Phys. Rev. Lett. 97(11), 113602 (2006). [CrossRef] [PubMed]

2.

D. Klonidis, C. T. Politi, R. Nejabati, M. J. O’Mahony, and D. Simeonidou, “OPSnet: design and demonstration of an asynchronous high-speed optical packet switch,” J. Lightw. Tech. 23(10), 2914–2925 (2005). [CrossRef]

3.

J. Ma and C. Jiang, “Design and analysis of all-optical switches based on fiber parametric devices,” Opt. Commun. 281(9), 2605–2613 (2008). [CrossRef]

4.

K. Kawase, J. Shikata, K. Imai, and H. Ito, “Transform-limited, narrow-linewidth, terahertz-wave parametric generator,” Appl. Phys. Lett. 78(19), 2819–2821 (2001). [CrossRef]

5.

K. J. Vahala, “Optical microcavities,” Nature 424(6950), 839–846 (2003). [CrossRef] [PubMed]

6.

R. Salem, M. A. Foster, A. C. Turner, D. F. Geraghty, M. Lipson, and A. L. Gaeta, “Signal regeneration using low-power four-wave mixing on silicon chip,” Nat. Photonics 2(1), 35–38 (2007). [CrossRef]

7.

E. C. Mägi, L. B. Fu, H. C. Nguyen, M. R. E. Lamont, D. I. Yeom, and B. J. Eggleton, “Enhanced Kerr nonlinearity in sub-wavelength diameter As2Se3 chalcogenide fiber tapers,” Opt. Express 15(16), 10324–10329 (2007). [CrossRef] [PubMed]

8.

L. Yin and G. P. Agrawal, “Impact of two-photon absorption on self-phase modulation in silicon waveguides,” Opt. Lett. 32(14), 2031–2033 (2007). [CrossRef] [PubMed]

9.

G. Priem, P. Bienstman, G. Morthier, and R. Baets, “Impact of absorption mechanisms on Kerr-nonlinear resonator behavior,” J. Appl. Phys. 99(6), 063103 (2006). [CrossRef]

10.

A. C. Turner, M. A. Foster, A. L. Gaeta, and M. Lipson, “Ultra-low power parametric frequency conversion in a silicon microring resonator,” Opt. Express 16(7), 4881–4887 (2008). [CrossRef] [PubMed]

11.

J. E. Heebner, N. N. Lepeshkin, A. Schweinsberg, G. W. Wicks, R. W. Boyd, R. Grover, and P. T. Ho, “Enhanced linear and nonlinear optical phase response of AlGaAs microring resonators,” Opt. Lett. 29(7), 769–771 (2004). [CrossRef] [PubMed]

12.

P. P. Absil, J. V. Hryniewicz, B. E. Little, P. S. Cho, R. A. Wilson, L. G. Joneckis, and P.-T. Ho, “Wavelength conversion in GaAs micro-ring resonators,” Opt. Lett. 25(8), 554–556 (2000). [CrossRef]

13.

I. H. Agha, Y. Okawachi, M. A. Foster, J. E. Sharping, and A. L. Gaeta, “Four-wave-mixing parametric oscillations in dispersion-compensated high-Q silica microspheres,” Phys. Rev. A 76(4), 043837 (2007). [CrossRef]

14.

D. H. Broaddus, M. A. Foster, I. H. Agha, J. T. Robinson, M. Lipson, and A. L. Gaeta, “Silicon-waveguide-coupled high-Q chalcogenide microspheres,” Opt. Express 17(8), 5998–6003 (2009). [CrossRef] [PubMed]

15.

M. Ferrera, L. Razzari, D. Duchesne, R. Morandotti, Z. Yang, M. Liscidini, J. E. Sipe, S. Chu, B. E. Little, and D. J. Moss, “Low-power continuous-wave nonlinear optics in doped silica glass integrated waveguide structures,” Nat. Photonics 2(12), 737–740 (2008). [CrossRef]

16.

D. Duchesne, M. Ferrera, L. Razzari, R. Morandotti, B. E. Little, S. T. Chu, and D. J. Moss, “Efficient self-phase modulation in low loss, high index doped silica glass integrated waveguides,” Opt. Express 17(3), 1865–1870 (2009). [CrossRef] [PubMed]

17.

J. S. Levy, A. Gondarenko, M. A. Foster, A. C. Turner-Foster, A. L. Gaeta, and M. Lipson, “CMOS compatible multiple wavelength source,” in Conference for Lasers and Electro-Optics, Postdeadline Paper CPDB8, (2009).

18.

M. D. Pelusi, F. Luan, E. Magi, M. R. E. Lamont, D. J. Moss, B. J. Eggleton, J. S. Sanghera, L. B. Shaw, and I. D. Aggarwal, “High bit rate all-optical signal processing in a fiber photonic wire,” Opt. Express 16(15), 11506–11512 (2008). [CrossRef] [PubMed]

OCIS Codes
(160.4330) Materials : Nonlinear optical materials
(190.4380) Nonlinear optics : Nonlinear optics, four-wave mixing
(230.5750) Optical devices : Resonators
(130.2755) Integrated optics : Glass waveguides
(130.7405) Integrated optics : Wavelength conversion devices

ToC Category:
Integrated Optics

History
Original Manuscript: June 29, 2009
Revised Manuscript: July 17, 2009
Manuscript Accepted: July 22, 2009
Published: July 29, 2009

Citation
M. Ferrera, D. Duchesne, L. Razzari, M. Peccianti, R. Morandotti, P. Cheben, S. Janz, D.-X. Xu, B. E. Little, S. Chu, and D. J. Moss, "Low power four wave mixing in an integrated, micro-ring resonator with Q = 1.2 million," Opt. Express 17, 14098-14103 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-16-14098


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References

  1. P. Kolchin, S. Du, C. Belthangady, G. Y. Yin, S. E. Harris, and E. L. Ginzton, “Generation of narrow-bandwidth paired photons: use of a single driving laser,” Phys. Rev. Lett. 97(11), 113602 (2006). [CrossRef] [PubMed]
  2. D. Klonidis, C. T. Politi, R. Nejabati, M. J. O’Mahony, and D. Simeonidou, “OPSnet: design and demonstration of an asynchronous high-speed optical packet switch,” J. Lightw. Tech. 23(10), 2914–2925 (2005). [CrossRef]
  3. J. Ma and C. Jiang, “Design and analysis of all-optical switches based on fiber parametric devices,” Opt. Commun. 281(9), 2605–2613 (2008). [CrossRef]
  4. K. Kawase, J. Shikata, K. Imai, and H. Ito, “Transform-limited, narrow-linewidth, terahertz-wave parametric generator,” Appl. Phys. Lett. 78(19), 2819–2821 (2001). [CrossRef]
  5. K. J. Vahala, “Optical microcavities,” Nature 424(6950), 839–846 (2003). [CrossRef] [PubMed]
  6. R. Salem, M. A. Foster, A. C. Turner, D. F. Geraghty, M. Lipson, and A. L. Gaeta, “Signal regeneration using low-power four-wave mixing on silicon chip,” Nat. Photonics 2(1), 35–38 (2007). [CrossRef]
  7. E. C. Mägi, L. B. Fu, H. C. Nguyen, M. R. E. Lamont, D. I. Yeom, and B. J. Eggleton, “Enhanced Kerr nonlinearity in sub-wavelength diameter As2Se3 chalcogenide fiber tapers,” Opt. Express 15(16), 10324–10329 (2007). [CrossRef] [PubMed]
  8. L. Yin and G. P. Agrawal, “Impact of two-photon absorption on self-phase modulation in silicon waveguides,” Opt. Lett. 32(14), 2031–2033 (2007). [CrossRef] [PubMed]
  9. G. Priem, P. Bienstman, G. Morthier, and R. Baets, “Impact of absorption mechanisms on Kerr-nonlinear resonator behavior,” J. Appl. Phys. 99(6), 063103 (2006). [CrossRef]
  10. A. C. Turner, M. A. Foster, A. L. Gaeta, and M. Lipson, “Ultra-low power parametric frequency conversion in a silicon microring resonator,” Opt. Express 16(7), 4881–4887 (2008). [CrossRef] [PubMed]
  11. J. E. Heebner, N. N. Lepeshkin, A. Schweinsberg, G. W. Wicks, R. W. Boyd, R. Grover, and P. T. Ho, “Enhanced linear and nonlinear optical phase response of AlGaAs microring resonators,” Opt. Lett. 29(7), 769–771 (2004). [CrossRef] [PubMed]
  12. P. P. Absil, J. V. Hryniewicz, B. E. Little, P. S. Cho, R. A. Wilson, L. G. Joneckis, and P.-T. Ho, “Wavelength conversion in GaAs micro-ring resonators,” Opt. Lett. 25(8), 554–556 (2000). [CrossRef]
  13. I. H. Agha, Y. Okawachi, M. A. Foster, J. E. Sharping, and A. L. Gaeta, “Four-wave-mixing parametric oscillations in dispersion-compensated high-Q silica microspheres,” Phys. Rev. A 76(4), 043837 (2007). [CrossRef]
  14. D. H. Broaddus, M. A. Foster, I. H. Agha, J. T. Robinson, M. Lipson, and A. L. Gaeta, “Silicon-waveguide-coupled high-Q chalcogenide microspheres,” Opt. Express 17(8), 5998–6003 (2009). [CrossRef] [PubMed]
  15. M. Ferrera, L. Razzari, D. Duchesne, R. Morandotti, Z. Yang, M. Liscidini, J. E. Sipe, S. Chu, B. E. Little, and D. J. Moss, “Low-power continuous-wave nonlinear optics in doped silica glass integrated waveguide structures,” Nat. Photonics 2(12), 737–740 (2008). [CrossRef]
  16. D. Duchesne, M. Ferrera, L. Razzari, R. Morandotti, B. E. Little, S. T. Chu, and D. J. Moss, “Efficient self-phase modulation in low loss, high index doped silica glass integrated waveguides,” Opt. Express 17(3), 1865–1870 (2009). [CrossRef] [PubMed]
  17. J. S. Levy, A. Gondarenko, M. A. Foster, A. C. Turner-Foster, A. L. Gaeta, and M. Lipson, “CMOS compatible multiple wavelength source,” in Conference for Lasers and Electro-Optics, Postdeadline Paper CPDB8, (2009).
  18. M. D. Pelusi, F. Luan, E. Magi, M. R. E. Lamont, D. J. Moss, B. J. Eggleton, J. S. Sanghera, L. B. Shaw, and I. D. Aggarwal, “High bit rate all-optical signal processing in a fiber photonic wire,” Opt. Express 16(15), 11506–11512 (2008). [CrossRef] [PubMed]

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