Optical tweezers use the interaction between light and matter to manipulate particles on the wavelength scale. The path of the photon is deflected as it passes through a particle, while the transfer of the momentum forces the particle to move away from the direction of deflection. Thus, a Gaussian-focused beam can create potential optical traps to bind or manipulate particles [1,2]. Optical tweezers have achieved a wide range of applications in biomedicine [3–6], precision measurement [7–9], nanotechnology [10,11], and many other fields [12–15]. Optical tweezers impose high demands on the stability of the system and the environment, and the light field distribution at the focal point has a great impact on the manipulation quality . However, the prevalence of the scattering medium disrupts the distribution of the optical wavefront, making the focused beam a diffuse patch of light. Although scattered light fields can also be used to manipulate particles, the scattering effect causes the dispersion of energy and the irregularity of the spot shape, resulting in a less accurate and capable manipulation . Therefore, achieving a high-quality optical focus behind a turbid medium will greatly expand the application range of optical tweezers.
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