Customizing the Angular Memory Effect for Scattering Media

The memory effect in disordered systems is a key physical phenomenon that has been employed for optical imaging, metrology, and communication through opaque media. Under the conventional effect, when incident beam tilted slightly, transmitted pattern tilts same direction. However, "memory" limited its angular range tilt Here, we present general approach to customize by introducing an operator. Its eigenstates possess perfect correlation angles directions can be arbitrarily chosen separately waves, readily realized with wavefront shaping. This work reveals power of shaping creating any desired applications classical quantum waves complex systems.