平面波照射下瑞利散射体的辐射阻尼
Radiation damping of a Rayleigh scatterer illuminated by a plane wave
AI总结：
本研究针对瑞利区域内平面波照射的介电球形粒子，通过两种方法推导辐射阻尼系数，得出不同方向的阻尼表达式，为光学悬浮物体品质因数设限并确保粒子动力学稳态解存在。
摘要：
我们研究了介电球形粒子在瑞利散射区域内被电磁平面波照射时所经历的辐射阻尼效应。我们推导了运动粒子的等效电偶极子，随后通过两种不同方法计算了作用于其上的电磁力。第一种方法通过应力张量与场动量的积分计算作用力，第二种方法则直接通过力密度的积分进行计算。我们的推导结果表明，沿传播方向的阻尼系数等于$6P_{scat}/mc^2$，而沿垂直方向的阻尼系数为$P_{scat}/mc^2$。其中，$P_{scat}$表示粒子的散射功率，$mc^2$代表粒子的质能。本研究推导的辐射阻尼为光学悬浮物体的品质因数设定了上限，并确保粒子动力学稳态解的存在性。
英文摘要：
We investigate the radiation damping experienced by a dielectric spherical particle when it is illuminated by an electromagnetic plane wave within the Rayleigh regime. We derive the equivalent electric dipole of the moving particle and subsequently calculate the electromagnetic force acting on it from two different approaches. In the first approach, we calculate the force from the integration of stress tensor and field momentum. In the second one, we calculate the force directly from the integration of the force density. Our derivations reveal that the damping coefficient is equal to $6P_{scat}/mc^2$ along the propagation direction, whereas it is $P_{scat}/mc^2$ along perpendicular directions. Here, $P_{scat}$ denotes the power scattered by the particle, and $mc^2$ represents the particle's mass energy. The radiation damping derived in this study sets upper limits on the quality factor of optically levitated objects and ensures the existence of a steady-state solution of the particle's dynamics.
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