I have been reading up on photon sieves as used by the silicon chip folks for very fine x-ray lithography. The literature indicates that a random arrangement of pinholes centered on the bright rings of a zone plate can yield resolution that is better than the diameter of the biggest pinhole. The holes can be bigger in diameter than the width of the zone plate ring on which they are centered.

The problem is that the articles do not give you quite enough information to write the program to generate the photon sieve, The other problem is that I have no idea if this works with a spread of wavelengths of light. I am tempted to make a big zone plate on paper and then apply dots by hand and then shoot it on my tech pan and see what happens.

Check out this link and tell me what you think:

http://nanoweb.mit.edu/zpal/JournalArticles/photon_sieve.PDF