Particle manipulation behind a turbid medium based on the intensity transmission matrix

Although optical tweezers can manipulate tiny particles,the distortion caused by the scattering medium restricts their application.Wavefront-shaping techniques such as the transmission matrix(TM)method are powerful tools to achieve light focusing behind the scattering medium.In this paper,we propose a method to focus light through a scattering medium in a large area based on the intensity transmission matrix(ITM).Only relying on the intensity distribution,we can calculate the ITM with the number of measurements equal to that of the control segments.Free of the diffraction limit,our method guarantees high energy usage of the light field.Based on this method,we have implemented particle manipulation with a high degree of freedom on single and multiple particles.In addition,the manipulation range is enlarged more than 20 times(compared to the memory effect)to 200μm.