Generation rate scaling: the quality factor optimization of microring resonators for photon-pair sources

Kai Guo; Xiaodong Shi; Xiaolin Wang; Junbo Yang; Yunhong Ding; Haiyan Ou; Yijun Zhao

doi:doi:10.1364/PRJ.6.000587

Photonics Research, 2018, 6 (6): 06000587, Published Online: Jul. 2, 2018

Generation rate scaling: the quality factor optimization of microring resonators for photon-pair sources Download： 614次

Kai Guo ^1,*Xiaodong Shi ²Xiaolin Wang ¹Junbo Yang ³Yunhong Ding ²Haiyan Ou ²Yijun Zhao ¹

Author Affiliations

¹ College of Advanced Interdisciplinary Studies, National University of Defense Technology, Changsha 410073, China

² Department of Photonics Engineering, Technical University of Denmark, Kgs. Lyngby 2800, Denmark

³ Center of Material Science, College of Liberal Arts and Sciences, National University of Defense Technology, Changsha 410073, China

Figures & Tables

Fig. 1. (a) Nc versus Qi and Qe. Black solid denotes the optimized Qe for a given Qi that facilitates the highest Nc with a unit of Hz. (b) B versus Qi and Qe. Black solid denotes the optimized Qe for a given Qi that facilitates the highest B with an unit of (s·mW·nm)−1.

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Fig. 2. (a) Nc versus Qe. (b) B versus Qe, when Qi is 4.76×104 (black solid), 5.59×104 (red solid), 7.54×104 (green solid), and 1.04×105 (blue solid). MRR1, black circle; MMR2, red circle; MRR3, green circle; MRR4, blue circle; MRR5, cyan diamond; MRR6, magenta triangle.

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Fig. 3. Schematic of experimental setup. EDFA, erbium-doped fiber amplifier; TBPFs, tunable bandpass filters; ATT, tunable attenuator; PC, polarization controller; AWG, arrayed waveguide grating; SPD, single photon detector.

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Fig. 4. Nc′ versus Pp for each sample. The fitted slopes are around 1.66, demonstrating that the measured photon pairs generated from SpFWM are dominant. The sequence of all samples in Nc, order from high to low, agrees well with predictions.

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Fig. 5. Ncc (right, red) versus Pp, including the measured data (triangle), the simulated data by Eq. (9) (solid), the modified data with detector saturation (dotted), and the modified data with nonlinear loss (dashed), and CAR versus Pp (left, black) for (a)–(f) MRR1–MRR6.

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Fig. 6. (a)–(f) Normalized transmittance (black solid), biquadrate of the normalized enhancement factor |Fn(λpr)|4 (red solid), and measured coincidence rate (blue circle), versus the pump-resonance detuning λpr for MRR1–MRR6 at Pp=3.98 mW, respectively.

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Fig. 7. Zero-delayed heralded second-order correlation gH(2)(0) versus Pp.

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Table1. Key Parameters of MRR Samples

Marker	$g$ (nm)	$Q$ ( $P$ )	$Q_{e}$ ( $P$ )	$Q_{i}$ ( $P$ )	$Q_{e}$ ( $S$ )	$Q_{i}$ ( $S$ )	$Q_{e}$ ( $I$ )	$Q_{i}$ ( $I$ )
MRR1	180	$1.83 \times 10^{4}$	$2.97 \times 10^{4}$	$4.76 \times 10^{4}$	$2.92 \times 10^{4}$	$4.79 \times 10^{4}$	$2.82 \times 10^{4}$	$4.29 \times 10^{4}$
MRR2	210	$2.59 \times 10^{4}$	$4.83 \times 10^{4}$	$5.59 \times 10^{4}$	$5.23 \times 10^{4}$	$5.35 \times 10^{4}$	$4.94 \times 10^{4}$	$5.81 \times 10^{4}$
MRR3	240	$4.32 \times 10^{4}$	$1.01 \times 10^{5}$	$7.54 \times 10^{4}$	$1.24 \times 10^{5}$	$8.84 \times 10^{4}$	$1.01 \times 10^{5}$	$7.57 \times 10^{4}$
MRR4	270	$6.21 \times 10^{4}$	$1.55 \times 10^{5}$	$1.04 \times 10^{5}$	$1.52 \times 10^{5}$	$1.12 \times 10^{5}$	$1.37 \times 10^{5}$	$9.52 \times 10^{4}$
MRR5	300	$7.40 \times 10^{4}$	$2.82 \times 10^{5}$	$1.01 \times 10^{5}$	$2.95 \times 10^{5}$	$9.88 \times 10^{4}$	$2.67 \times 10^{5}$	$1.10 \times 10^{5}$
MRR6	330	$9.15 \times 10^{4}$	$5.70 \times 10^{5}$	$1.09 \times 10^{5}$	$5.70 \times 10^{5}$	$1.09 \times 10^{5}$	$4.19 \times 10^{5}$	$1.09 \times 10^{5}$

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Table2. Nc′ and Corresponding B′ at Pp=1 mW

Number	$N_{c}^{'}$ [kHz]	$Δ λ$ [nm]	$B^{'}$ [ ${(s \cdot mW \cdot nm)}^{- 1}$ ]
MRR1	4.6	0.085	$5.4 \times 10^{4}$
MRR2	6.9	0.060	$1.1 \times 10^{5}$
MRR3	15.2	0.036	$4.2 \times 10^{5}$
MRR4	30.0	0.025	$1.2 \times 10^{6}$
MRR5	9.6	0.021	$4.8 \times 10^{5}$
MRR6	2.3	0.017	$1.4 \times 10^{5}$

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Kai Guo, Xiaodong Shi, Xiaolin Wang, Junbo Yang, Yunhong Ding, Haiyan Ou, Yijun Zhao. Generation rate scaling: the quality factor optimization of microring resonators for photon-pair sources[J]. Photonics Research, 2018, 6(6): 06000587.

Generation rate scaling: the quality factor optimization of microring resonators for photon-pair sources Download： 614次

Fig. 1. (a) Nc versus Qi and Qe. Black solid denotes the optimized Qe for a given Qi that facilitates the highest Nc with a unit of Hz. (b) B versus Qi and Qe. Black solid denotes the optimized Qe for a given Qi that facilitates the highest B with an unit of (s·mW·nm)−1.

Fig. 2. (a) Nc versus Qe. (b) B versus Qe, when Qi is 4.76×104 (black solid), 5.59×104 (red solid), 7.54×104 (green solid), and 1.04×105 (blue solid). MRR1, black circle; MMR2, red circle; MRR3, green circle; MRR4, blue circle; MRR5, cyan diamond; MRR6, magenta triangle.

Fig. 3. Schematic of experimental setup. EDFA, erbium-doped fiber amplifier; TBPFs, tunable bandpass filters; ATT, tunable attenuator; PC, polarization controller; AWG, arrayed waveguide grating; SPD, single photon detector.

Fig. 4. Nc′ versus Pp for each sample. The fitted slopes are around 1.66, demonstrating that the measured photon pairs generated from SpFWM are dominant. The sequence of all samples in Nc, order from high to low, agrees well with predictions.

Fig. 5. Ncc (right, red) versus Pp, including the measured data (triangle), the simulated data by Eq. (9) (solid), the modified data with detector saturation (dotted), and the modified data with nonlinear loss (dashed), and CAR versus Pp (left, black) for (a)–(f) MRR1–MRR6.

Fig. 6. (a)–(f) Normalized transmittance (black solid), biquadrate of the normalized enhancement factor |Fn(λpr)|4 (red solid), and measured coincidence rate (blue circle), versus the pump-resonance detuning λpr for MRR1–MRR6 at Pp=3.98 mW, respectively.

Fig. 7. Zero-delayed heralded second-order correlation gH(2)(0) versus Pp.

Table1. Key Parameters of MRR Samples

Table2. Nc′ and Corresponding B′ at Pp=1 mW

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Generation rate scaling: the quality factor optimization of microring resonators for photon-pair sources Download： 614次

Fig. 1. (a) Nc versus Qi and Qe. Black solid denotes the optimized Qe for a given Qi that facilitates the highest Nc with a unit of Hz. (b) B versus Qi and Qe. Black solid denotes the optimized Qe for a given Qi that facilitates the highest B with an unit of (s·mW·nm)−1.

Fig. 2. (a) Nc versus Qe. (b) B versus Qe, when Qi is 4.76×104 (black solid), 5.59×104 (red solid), 7.54×104 (green solid), and 1.04×105 (blue solid). MRR1, black circle; MMR2, red circle; MRR3, green circle; MRR4, blue circle; MRR5, cyan diamond; MRR6, magenta triangle.

Fig. 3. Schematic of experimental setup. EDFA, erbium-doped fiber amplifier; TBPFs, tunable bandpass filters; ATT, tunable attenuator; PC, polarization controller; AWG, arrayed waveguide grating; SPD, single photon detector.

Fig. 4. Nc′ versus Pp for each sample. The fitted slopes are around 1.66, demonstrating that the measured photon pairs generated from SpFWM are dominant. The sequence of all samples in Nc, order from high to low, agrees well with predictions.

Fig. 5. Ncc (right, red) versus Pp, including the measured data (triangle), the simulated data by Eq. (9) (solid), the modified data with detector saturation (dotted), and the modified data with nonlinear loss (dashed), and CAR versus Pp (left, black) for (a)–(f) MRR1–MRR6.

Fig. 6. (a)–(f) Normalized transmittance (black solid), biquadrate of the normalized enhancement factor |Fn(λpr)|4 (red solid), and measured coincidence rate (blue circle), versus the pump-resonance detuning λpr for MRR1–MRR6 at Pp=3.98 mW, respectively.

Fig. 7. Zero-delayed heralded second-order correlation gH(2)(0) versus Pp.

Table1. Key Parameters of MRR Samples

Table2. Nc′ and Corresponding B′ at Pp=1 mW

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