Nonlinear dynamic analysis of a photonic crystal nanocavity resonator

Fengrui LIU, Han YAN, Wenming ZHANG

doi:10.1007/s10483-019-2405-9

Applied Mathematics and Mechanics >

2019 , Vol. 40 >Issue 1: 139 - 152

DOI: https://doi.org/10.1007/s10483-019-2405-9

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Nonlinear dynamic analysis of a photonic crystal nanocavity resonator

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State Key Laboratory of Mechanical System and Vibration, School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China

Received date: 2018-07-16

Revised date: 2018-08-30

Online published: 2019-01-01

Supported by

Project supported by the National Science Found for Distinguished Young Scholars (No. 11625208) and the National Natural Science Foundation of China (Nos. 11572190 and 91748118)

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Abstract

A nonlinear dynamic model of a one-dimensional photonic crystal nanocavity resonator is presented. It considers the internal tensile stress and the geometric characteristics of a photonic crystal with rectangular (and circular) holes. The solution of the dynamic model shows that the internal tensile stress can suppress the hardening and softening behaviors of the resonator. However, the stress can reduce the amplitude, which is not conducive to an improvement of the sensitivity of the sensor. It is demonstrated that with an optimized beam length, the normalized frequency drift of the beam can be stabilized within 1% when the optical power increases from 2 mW to 6 mW. When the hole size of the resonator beam is close to the beam width, its increase can lead to a sharp rise of the resonant frequency and the promotion of hardening behavior. Moreover, the increase in the optical power initially leads to the softening behavior of the resonator followed by an intensification of the hardening behavior. These theoretical and numerical results are helpful in understanding the intrinsic mechanism of the nonlinear response of an optomechanical resonator, with the objective of avoiding the nonlinear phenomena by optimizing key parameters.

Key words： inertial; centnfugalization; Reynolds number; pressure drop; nonlinear dynamic; resonator; photonic crystal; softening and hardening behaviors

Cite this article

Fengrui LIU, Han YAN, Wenming ZHANG . Nonlinear dynamic analysis of a photonic crystal nanocavity resonator[J]. Applied Mathematics and Mechanics, 2019 , 40(1) : 139 -152 . DOI: 10.1007/s10483-019-2405-9

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