I have experimented recently with zone plates, which are the 2-D equivalent of a chirp. Zone plates make for excellent test images to detect deficiencies in image processing algorithms or display and camera calibration. They have interesting properties: Each point on a zone plate corresponds to a unique instantaneous wave vector, and also like a gaussian a zone plate is its own Fourier transform. A quick image search (google, bing) turns up many results, but I found all of them more or less unusable, so I made my own.
Zone Plates Done Right
I made the following two 256×256 zone plates, which I am releasing into the public so they can be used by anyone freely.