We investigate pattern revivals in specially designed optical structures that
combine different transverse modes. In general, the resulting pattern is not
preserved under free propagation and gets transformed due to non synchronized
Gouy phases. However, it is possible to build structures in which the Gouy
phases synchronize at specific fractional values, thus recovering the initial
pattern at the corresponding longitudinal positions. This effect is illustrated
with a radially structured light spot in which the beam energy can be addressed
to different positions without the need of intermediate optical components,
what can be useful for optical communications and optical tweezing with
structured beams