The implementation of a two-stage design process for the design of dif
fractive optical elements for array illumination is described. Results
are presented for on-axis two-dimensional array illuminators for whic
h this method is used. The final designs are theoretically within 5% o
f the calculated diffraction efficiency upper bound, and theoretical s
ignal reconstruction error is below 1%. Experimental verification of t
he design theory is given, with experimental diffraction efficiencies
within 4% of design values and signal reconstruction error below 6%. (
C) 1997 Optical Society of America.