Nonlinear dynamics of 1550 nm VCSELs subject to polarization-preserved optical feedback and orthogonal optical injection

doi:10.1007/s12200-013-0333-y

Front Optoelec

2013, Vol. 6

Issue (3) : 243-250 https://doi.org/10.1007/s12200-013-0333-y

RESEARCH ARTICLE

Nonlinear dynamics of 1550 nm VCSELs subject to polarization-preserved optical feedback and orthogonal optical injection

Bin WEI, Zhengmao WU, Tao DENG, Guangqiong XIA(

)

School of Physical Science and Technology, Southwest University, Chongqing 400715, China

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Abstract

Based on spin-flip model (SFM), the nonlinear dynamics of 1550 nm vertical-cavity surface-emitting lasers (VCSELs) subject to polarization-preserved optical feedback (PPOF) and orthogonal optical injection (OOI) are theoretically investigated. The results show that two linear polarization (LP) modes can be simultaneously stimulated and polarization switching (PS) can be observed, which is different from the case that only y LP mode exists in a VCSEL with PPOF. Under the joint action of PPOF and OOI, the two LP modes will exhibit rich dynamical states, such as period one, period two, multi-period and chaos oscillation. Different evolution routes to chaos can be also observed. Moreover, frequency detuning Δf (Δf = f_m - f_s, where f_m and f_s are the center frequencies of free-running master VCSEL and slave VCSEL, respectively) has an obvious influence on the PS. With the increase of the positive frequency detuning PS points shift toward larger injection strengths; meanwhile, a suitable negative frequency detuning value makes the injection strength for PS be the lowest.

Keywords vertical-cavity surface-emitting lasers (VCSELs) nonlinear dynamics orthogonal optical injection (OOI) polarization-preserved optical feedback (PPOF)

Corresponding Author(s): XIA Guangqiong,Email:gqxia@swu.edu.cn

Issue Date: 05 September 2013

Cite this article:

Bin WEI,Zhengmao WU,Tao DENG, et al. Nonlinear dynamics of 1550 nm VCSELs subject to polarization-preserved optical feedback and orthogonal optical injection[J]. Front Optoelec, 2013, 6(3): 243-250.

URL:

https://academic.hep.com.cn/foe/EN/10.1007/s12200-013-0333-y
https://academic.hep.com.cn/foe/EN/Y2013/V6/I3/243

Fig.1 Schematic diagram of 1550 nm VCSEL subject to PPOF and OOI. M-VCSEL: master-VCSEL. S-VCSEL: slave-VCSEL. HWP: half-wave plate. OI: optical isolator. M: mirror. NDF: neutral density filter. AL: aspheric lens

Fig.2 Polarization-resolved - curve for a free-running VCSEL. Dotted line is for LP mode and solid line is for LP mode

Fig.3 Bifurcation diagrams of extrema of peak series versus feedback strength for = 1.5

Fig.4 Bifurcation diagrams of extrema of peak series versus different feedback strength for = 1.5 and Δ = 0 GHz with = 100 ns(a1,b1), 200 ns(a2,b2), and 300 ns(a3,b3)

Fig.5 Time series, power spectra, and phase portraits of different states with = 1.5, = 300 ns and Δ = 0 GHz, where (a)-(d) correspond to = 0.8, 1.2, 1.3 and 1.4 ns, respectively

Fig.6 Normalized mean output powers versus injection strength for = 1.5 and Δ = 0 GHz, where solid line corresponds to LP mode and solid line with circles corresponds to LP mode, and (a)-(d) correspond to feedback strength = 2, 5, 8, 10 ns, respectively

Fig.7 Bifurcation diagrams of extrema of peak series versus feedback strength for = 1.5 and = 100 ns, where (a)-(d) correspond to frequency detuning Δ = -40, -10, 10, 40 GHz, respectively

Fig.8 Normalized mean powers for two LP modes versus injection strength for = 1.5 and = 5 ns with different frequency detuning, where solid line corresponds to LP mode and solid line with circles corresponds to LP mode, and (a)-(f) correspond to frequency detuning Δ = -70, -60, -30, 0, 10, 20 GHz, respectively

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