  We report on an investigation of a method that applies simultaneously two
different mathematical models in order to optimize the design of a Zeeman
Slower towards the implementation of ultra cold atoms in solid state physics.
We introduce the implementation of a finite element simulation that allows us
to predict with great accuracy the magnetic field intensity profile generated
by the proposed design. Through the prediction of the behavior of the Zeeman
Slower a greater control is acquired, which allows the optimization of the
different experimental variables. We applied the method in the design of a
multilayer solenoidal "Spin-Flip" Zeeman Slower for strontium atoms. The
magnetic intensity profile generated by the Zeeman Slower is in agreement with
the magnetic field strength profile necessary for the atom cooling and tends to
zero in both end sides. The latter terms are essential in order to optimize the
amount of trapped and cooled atoms.
