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Optical tweezers can manipulate tiny particles. However, the distortioncaused by the scattering medium restricts the applications of optical tweezers.Wavefront shaping techniques including the transmission matrix (TM) method arepowerful tools to achieve light focusing behind the scattering medium. In thispaper, we propose a new kind of TM, named intensity transmission matrix (ITM).Only relying on the intensity distribution, we can calculate the ITM with onlyabout 1/4 measurement time of the widely used four-phase method. Meanwhile, ITMmethod can avoid the energy loss in diffraction introduced by holographicmodulation. Based on the ITM, we have implemented particle manipulation with ahigh degree of freedom on single and multiple particles. In addition, themanipulation range is enlarged over twenty times (compared with the memoryeffect) to 200 {\mu}m.

Particle manipulation behind turbid medium based on intensity transmission matrix