Wavefront Shaping through Nonconformal Mapping

This study introduces an innovative wavefront shaping technique that addresses the high costs, large volumes, and integration difficulties associated with the manufacturing and calibration of complex optical components in traditional technologies. Moreover, this technique effectively mitigates the scattering and diffraction effects encountered during light propagation, thereby enhancing device efficiency and applicability. Utilizing a design method based on coordinate transformation and leveraging the invariance of the Helmholtz equation, we developed a medium characterized by an intrinsic complex refractive index distribution, which directly facilitates the desired wavefront bending functionality. This wavefront shaping technique allows for the free design of the wavefront’s shape during propagation, exhibiting constant amplitude and diffraction-free properties, significantly reducing energy loss and diffraction effects. It not only offers a new perspective in the field of wavefront shaping but also opens up novel pathways for controlling wave propagation in non-Hermitian mediums.