

A wave front radiating from a smooth surface will be smooth at first.
Points, where the wave front looses its smoothness belong to the
caustic. Move with the mouse over the picture to see the
radiation. The formula below produces tables of equal width

if a _{ n } = a _{  n }, a _{ 2 m }=0, nonzero m
and a _{ 1 }=0.
A two dimensional parameter domain a _{ 0 } =4.0,
a _{ n }=0 for n different from 0,3,5 can be explored to the
left by moving with the mouse over it.


The corresponding caustics are:


