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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
[1] Zhang F L, Zhao X P 2007 Acta Phys. Sin. 56 4661 (in Chinese) [张富利, 赵晓鹏 2007 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 60 056103]
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[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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[1] Zhang F L, Zhao X P 2007 Acta Phys. Sin. 56 4661 (in Chinese) [张富利, 赵晓鹏 2007 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 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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