Transducing head including a magnetic element exhibiting varying permeability

A transducing head configured to write data to a magnetic medium, the transducing head comprising:

• a main pole configured for producing a magnetic field that causes perpendicular writing of data to the magnetic medium;
• and
• at least one magnetic element spaced from and having a greater thickness than the main pole, wherein the magnetic element provides a potential return path for the magnetic field produced by the main pole, and has a first edge closest to the main pole, a second edge furthest from the main pole, and wherein permeability of the magnetic element increases from the first edge to the second edge.