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光梯度力作为纳谐振器的一种新型驱动方式，得到了广泛关注. 本文研究了光梯度力的固有非线性特性，建立了光梯度力驱动圆环与辐条谐振系统的动力学模型. 揭示了入射光功率以及几何参数对系统的非线性动力学响应的影响规律. 研究表明：光梯度力会引起系统呈现刚度软化效应，随着入射光功率增大，系统主共振峰值明显增大，且谐振频率随着振幅增大而产生较大偏移；两环初始间隙增大，系统振动幅值和谐振频率均下降；辐条厚度越大，系统主共振峰值和谐振频率均减小. 因此，可以通过调节入射光功率来实现圆环辐条谐振器的频率调节，为光梯度力驱动纳谐振器动力学设计和性能预测提供理论参考.Optical gradient force, as a novel type of actuation force for nano-resonators, has recently attracted a lot of attention. In this paper, the inherent nonlinear characteristics of the optical gradient force are analyzed. A nonlinear dynamic model of the ring and spoke resonant system driven by optical gradient force is proposed. The influences of optical input power and geometric parameters on the nonlinear dynamic responses of the system are investigated. The results show that the optical gradient force can cause stiffness to soften. The amplitude increases and the resonance frequency shifts as the input optical power increases. Moreover, the amplitude and resonance frequency of the nano-resonator decrease as the initial gap of the rings increases. Therefore, the resonance frequency can be adjusted by changing the optical input power. This work can be useful for the further design and performance prediction of nano-resonators driven by the optical gradient force.
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Keywords:
- optical gradient force /
- nano-resonator /
- nonlinear dynamics
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[1] Zhang F L, Zhao X P 2007 Acta Phys. Sin. 56 4661 (in Chinese) [张富利, 赵晓鹏 2007 物理学报 56 4661]
[2] Gu F, Zhang J H, Yang L J, Gu B 2011 Acta Phys. Sin. 60 056103 (in Chinese) [顾芳, 张加宏, 杨丽娟, 顾斌 2011 物理学报 60 056103]
[3] Aghababa M P 2012 Chin. Phys. B 21 100505
[4] Churenkov A V 1996 Sensors and Actuators A 57 21
[5] Lammerink T S J, Elwenspoek M, Fluitman J H J 1991 Sensors and Actuators A 27 685
[6] Povinelli M L, Loncar M, Ibanescu M, Smythe E J, Johnson S G, Capasso F 2005 Opt. Lett. 30 3042
[7] Povinelli M L, Johnson S G, Loncar M, Ibanescu M, Smythe E J, Capasso F, Joannopoulos J D 2005 Opt. Express 13 8286
[8] Rakich P T, Popovic M A, Wang Z 2009 Opt. Express 17 18116
[9] Pernice W H P, Li M, Tang H X 2009 Opt. Express 17 1806
[10] Li M, Pernice W H P, Xiong C, Baehr-Jones T, Hochberg M, Tang H X 2008 Nature Lett. 456 480
[11] Pernice W H P, Li M, Tang H X 2009 Opt. Express 17 1806
[12] Li M, Pernice W H P, Tang H X 2009 Nature Photon. 3 464
[13] Cai H, Xu K J, Liu A Q, Fang Q, Yu M B 2012 Appl. Phys. Lett. 100 013108
[14] Eichenfield M, Michael C P, Perahia R, Painter O 2007 Nature Photon. 1 416
[15] Rosenberg J, Lin Q, Painter O 2009 Nature Photon. 3 478
[16] Lin Q, Rosenberg J, Chang D, Camacho R, Eichenfield M, Vahala K J, Painter O 2010 Nature Photon. 4 236
[17] Wiederhecker G S, Chen L, Gondarenko A, Lipson M 2009 Nature Lett. 462 633
[18] Evoy S, Carr D W, Sekaric L, Olkhovets A, Parpia J M, Craighead H G 1999 Appl. Phys. Lett. 86 6072
[19] Vlaminck I De, Greve K De, Lagae L, Borghs G 2006 Appl. Phys. Lett. 88 063112
[20] Zhao H, Luo W, Zheng H Y, Yang J L, Yang Y H 2012 Chin. Phys. B 21 100702
[21] Lin Q, Rosenberg J, Jiang X S, Vahala K J, Painter O 2009 Phys. Rev. Lett. 103 103601
[22] Hu Y C, Chang C M, Huang S C 2004 Sensors and Actuators A 112 155
[23] Bao M, Yang H 2004 Sensors and Actuators A 136 1007
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