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Determination of the axial stiffness of an optical trap with information entropy signals

机译：利用信息熵信号确定光阱的轴向刚度

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Optical tweezers has been used to manipulate micro-sized particles for many years, and has been widely used in various applications. The axial trapping stiffness is one of the most important parameters to evaluate the trapping ability of an optical tweezers. In this paper, we calibrated the axial optical stiffnesses for micro-sized polystyrene spheres. When an external force was applied to particle held by an optical trap, the particle was displaced from the trap center by an amount proportional to the applied force. We displaced the particle from the trap center by applying triangular waves of varying velocity, and the varying velocity was obtained by altering the frequency of the triangular waves. In this case the particle has two balance position distributed at two-side of the trap center. The calibration of the axial position was critical to the measurement of axial optical stiffness. In this paper, the axial displacement between the balance position and the trap center was calibrated with image information entropy signals. According to Stokes Law, when the axial displacement of the particle relative to the external force was known, the axial optical stiffness can be measured, and this method was known as viscous drag method. The stiffnesses for a 2μm-diameter at different trapped depth were measured. Typical values for axial optical stiffness of our optical tweezers were between 4.0 and 7.5 pN/μm when the laser power was 35mW. Dependence of axial optical trapping stiffness on the diameter of the particles was measured with viscous drag method. At last, the origin of the measurement error was discussed.
机译：多年来，光学镊子已被用于处理微尺寸的颗粒，并已广泛用于各种应用中。轴向捕获刚度是评估光镊捕获能力的最重要参数之一。在本文中，我们校准了微尺寸聚苯乙烯球的轴向光学刚度。当外力施加到由光阱保持的颗粒时，颗粒从阱中心移位了与所施加的力成比例的量。我们通过施加变化速度的三角波将粒子从陷阱中心移开，并且通过改变三角波的频率获得变化的速度。在这种情况下，颗粒在捕集中心的两侧分布有两个平衡位置。轴向位置的校准对于轴向光学刚度的测量至关重要。本文利用图像信息熵信号对平衡位置与捕集阱中心之间的轴向位移进行了校准。根据斯托克斯定律，当已知颗粒相对于外力的轴向位移时，可以测量轴向光学刚度，并且该方法被称为粘性阻力法。测量了在不同陷获深度下直径为2μm的刚度。当激光功率为35mW时，我们的光镊的轴向光学刚度的典型值在4.0至7.5 pN /μm之间。用粘性拖曳法测量轴向光学俘获刚度对颗粒直径的依赖性。最后讨论了测量误差的来源。

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