A PDAF imaging system includes an image sensor and an image data processing unit. The image sensor has an asymmetric-microlens PDAF detector that includes: (a) a plurality of pixels forming a sub-array having at least two rows and two columns, and (b) a microlens located above each of the plurality of pixels and being rotationally asymmetric about an axis perpendicular to the sub-array. The axis intersects a local extremum of a top surface of the microlens. The image data processing unit is capable of receiving electrical signals from each of the plurality of pixels and generating a PDAF signal from the received electrical signals. A method for forming a gull-wing microlens includes forming, on a substrate, a plate having a hole therein. The method also includes reflowing the plate.