论文标题

在高斯常驻波中,稳定性和动力学的动力学超出了谐波近似

Stability and dynamics of optically levitated dielectric disks in a Gaussian standing wave beyond the harmonic approximation

论文作者

Seberson, T., Robicheaux, F.

论文摘要

从理论上分析了被困在高斯常驻波浪中的介电盘上的力和扭矩,用于半径的磁盘$ 2〜μ \ text {m} $,带有折射索引$ n = 1.45 $和$ n = 2.0 $,同样是$ n = 1.45 $ nm radius 200 nm = 1.45 $。使用离散偶极近似方法在分析和数值上对力和扭矩进行计算。除谐波术语外,在描述瑞利极限之外的磁盘的动力学时,势能中的三阶Ro传递耦合项可能是重要的,并且是必要的考虑。耦合项是磁盘耦合到梁的高斯和驻波几何形状的有限扩展的结果。由耦合术语影响最大的自由度的产生动力学表现出多个边带,如功率频谱密度所证明的那样。模拟表明,对于$ 1-4〜μ \ text {m} $的高斯梁腰部,磁盘仍然稳定。

Forces and torques exerted on dielectric disks trapped in a Gaussian standing wave are analyzed theoretically for disks of radius $2~μ\text{m}$ with index of refraction $n=1.45$ and $n=2.0$ as well as disks of radius 200 nm with $n=1.45$. Calculations of the forces and torques were conducted both analytically and numerically using a discrete-dipole approximation method. Besides harmonic terms, third order ro-translational coupling terms in the potential energy can be significant and a necessary consideration when describing the dynamics of disks outside of the Rayleigh limit. The coupling terms are a result of the finite extension of the disk coupling to both the Gaussian and standing wave geometry of the beam. The resulting dynamics of the degrees of freedom most affected by the coupling terms exhibit several sidebands as evidenced in the power spectral densities. Simulations show that for Gaussian beam waists of $1-4~μ\text{m}$ the disk remains stably trapped.

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