Variable-curvature microresonators for dual-wavelength lasing

Min Tang; Yong-Zhen Huang; Yue-De Yang; Hai-Zhong Weng; Zhi-Xiong Xiao

doi:doi:10.1364/PRJ.5.000695

Photonics Research, 2017, 5 (6): 06000695, Published Online: Dec. 7, 2017

Variable-curvature microresonators for dual-wavelength lasing Download： 545次

Min Tang Yong-Zhen Huang ^*Yue-De Yang Hai-Zhong Weng Zhi-Xiong Xiao

Author Affiliations

State Key Laboratory on Integrated Optoelectronics, Institute of Semiconductors, University of Chinese Academy of Sciences, Chinese Academy of Sciences, Beijing 100083, China

Figures & Tables

Fig. 1. Schematic diagram of a 2D VCM. The curvature is linearly changed as the boundary starting from zero curvature points to the neighboring maximum-curvature points.

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Fig. 2. (a) Mode intensity spectrum and mode field patterns |Hz| of the (b) circular-like mode, (c) fundamental four-bounce mode, (d) first-order four-bounce mode, and (e) high-order hybrid mode.

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Fig. 3. Q factors and wavelengths for deformed resonator from VCM to (a) microcircular resonator and (b) microsquare resonator.

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Fig. 4. (a) Poincaré surface of sections (SOSs) of VCM; inset shows ray trajectories of two kinds of closed orbits with reflection times of 3000, which are marked by dots of the same color in the phase space. We zoom in on one of the droplets to show the details of the regular regions. (b) Top and droplet centers of the SOS; horizontal and vertical coordinate ranges are expressed on the left and bottom of each graph.

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Fig. 5. Husimi projections of the (a) circular-like mode and (b) fundamental four-bounce mode. Insets show the field distributions |Hz| of both modes.

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Fig. 6. (a) Wavelengths, Q factors, and (b) frequency differentials of circular-like and fundamental four-bounce modes versus the refractive index change of the dark-colored ring region.

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Fig. 7. Frequencies of the circular-like and fundamental four-bounce modes versus VCM size.

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Fig. 8. (a) Q factors of dual mode versus waveguide rotating angles and field distributions of |Hz| for the circular-like modes with rotating angles of (b) 0° and (c) 27°, and for the fundamental four-bounce modes with rotating angles of (d) 27° and (e) 45°.

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Table1. Wavelengths and Q Factors for Symmetric TE Modes in VCM with d=4 μm

Mode	Wavelength (μm)	$Q$ Factor
Circular-like modes	1.5072	$4.34 \times 10^{5}$
	1.5372	$1.68 \times 10^{5}$
	1.5664	$4.51 \times 10^{4}$
Four-bounce modes	1.5096	$1.51 \times 10^{4}$
	1.5428	$1.51 \times 10^{4}$
	1.5753	$1.25 \times 10^{4}$
First-order four-bounce modes	1.5133	$4.13 \times 10^{3}$
	1.5453	$3.27 \times 10^{3}$
	1.5787	$2.81 \times 10^{3}$
High-order hybrid modes	1.5083	$2.42 \times 10^{3}$
	1.5397	$2.61 \times 10^{3}$
	1.5726	$2.76 \times 10^{3}$

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Table2. Ratios of Cross-Saturation Coefficient to Self-Saturation Coefficient

r/0.5a/d(μm)	4	5	6	7	8
Circular resonator $G_{10} / G_{00}$	0.62	0.65	0.64	0.63	0.64
Square resonator $G_{10} / G_{00}$	1.00	1.00	1.00	1.01	0.72
VCM $G_{s c} / G_{c c}$	0.52	\	0.51	0.44	0.58

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Min Tang, Yong-Zhen Huang, Yue-De Yang, Hai-Zhong Weng, Zhi-Xiong Xiao. Variable-curvature microresonators for dual-wavelength lasing[J]. Photonics Research, 2017, 5(6): 06000695.

Variable-curvature microresonators for dual-wavelength lasing Download： 545次

Fig. 1. Schematic diagram of a 2D VCM. The curvature is linearly changed as the boundary starting from zero curvature points to the neighboring maximum-curvature points.

Fig. 2. (a) Mode intensity spectrum and mode field patterns |Hz| of the (b) circular-like mode, (c) fundamental four-bounce mode, (d) first-order four-bounce mode, and (e) high-order hybrid mode.

Fig. 3. Q factors and wavelengths for deformed resonator from VCM to (a) microcircular resonator and (b) microsquare resonator.

Fig. 5. Husimi projections of the (a) circular-like mode and (b) fundamental four-bounce mode. Insets show the field distributions |Hz| of both modes.

Fig. 6. (a) Wavelengths, Q factors, and (b) frequency differentials of circular-like and fundamental four-bounce modes versus the refractive index change of the dark-colored ring region.

Fig. 7. Frequencies of the circular-like and fundamental four-bounce modes versus VCM size.

Fig. 8. (a) Q factors of dual mode versus waveguide rotating angles and field distributions of |Hz| for the circular-like modes with rotating angles of (b) 0° and (c) 27°, and for the fundamental four-bounce modes with rotating angles of (d) 27° and (e) 45°.

Table1. Wavelengths and Q Factors for Symmetric TE Modes in VCM with d=4 μm

Table2. Ratios of Cross-Saturation Coefficient to Self-Saturation Coefficient

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Variable-curvature microresonators for dual-wavelength lasing Download： 545次

Fig. 1. Schematic diagram of a 2D VCM. The curvature is linearly changed as the boundary starting from zero curvature points to the neighboring maximum-curvature points.

Fig. 2. (a) Mode intensity spectrum and mode field patterns |Hz| of the (b) circular-like mode, (c) fundamental four-bounce mode, (d) first-order four-bounce mode, and (e) high-order hybrid mode.

Fig. 3. Q factors and wavelengths for deformed resonator from VCM to (a) microcircular resonator and (b) microsquare resonator.

Fig. 5. Husimi projections of the (a) circular-like mode and (b) fundamental four-bounce mode. Insets show the field distributions |Hz| of both modes.

Fig. 6. (a) Wavelengths, Q factors, and (b) frequency differentials of circular-like and fundamental four-bounce modes versus the refractive index change of the dark-colored ring region.

Fig. 7. Frequencies of the circular-like and fundamental four-bounce modes versus VCM size.

Fig. 8. (a) Q factors of dual mode versus waveguide rotating angles and field distributions of |Hz| for the circular-like modes with rotating angles of (b) 0° and (c) 27°, and for the fundamental four-bounce modes with rotating angles of (d) 27° and (e) 45°.

Table1. Wavelengths and Q Factors for Symmetric TE Modes in VCM with d=4 μm

Table2. Ratios of Cross-Saturation Coefficient to Self-Saturation Coefficient

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