Let's consider a half lambda dipole at f=1 GHz. It's length will be 15 cm. This dipole is depicted at the lower left corner in the figure below.

The main figure shows the absolute value of the Ez or E_rho field-component for a specific radius r. Pay attention to the fact, that it is a normalized display!

Using the formulas we derived for a max. phase error of pi/8:

Fresnel Region:

Far-Field Region: