The parity of self-images obtained at a half of Talbot distance is investig
ated. Conditions for inversion are found. A subset of the functions fulfill
ing Montgomery's condition, namely those composed of sinusoids with frequen
cies in the ratio of the square root of odd numbers, replicate in inverted
form. Some examples are commented, numerically simulated and verified by ex
periment. (C) 1999 Published by Elsevier Science B.V. All rights reserved.