Holographic beam shaping of partially coherent light

We present an algorithmic approach for holographic shaping of partially coherent light, which is described by a mode expansion containing thousands of individual modes. Using gradient descent and algorithmic differentiation, our algorithm is able to find a set of axially separated phase patterns such that each mode undergoes an individually optimized transformation with respect to the formation of a user-defined target intensity distribution. We demonstrate numerically and experimentally that a tandem of two phase patterns can achieve any intensity profile transformation with good accuracy.