The number of phase levels in a Talbot array illuminator (TAIL) is an impor
tant factor for estimation of practical fabrication complexity and cost. We
show that the number of phase levels in a two-dimensional TAIL (2D-TAIL) h
as a simple relation to the prime number. When the output array is alternat
ively rr phase modulated, there are similar simple relations. These simple
relations should be highly interesting for practical use. An experiment wit
h the ED-TAIL based on the joint-Talbot effect is given as well. (C) 2001 O
ptical Society of America.