Microscopic scan-free surface profiling over extended axial ranges by point-spread-function engineering

The shape of a surface, i.e., its topography, influences many functional properties of a material; hence, characterization is critical in a wide variety of applications. Two notable challenges are profiling temporally changing structures, which requires high-speed acquisition, and capturing geometries with large axial steps. Here, we leverage point-spread-function engineering for scan-free, dynamic, microsurface profiling. The presented method is robust to axial steps and acquires full fields of view at camera-limited framerates. We present two approaches for implementation: Fluorescence-based and label-free surface profiling, demonstrating the applicability to a variety of sample geometries and surface types.