Hard disk drive for perpendicular recording with transducer having submicron gap between pole tips

An information storage system comprising:

• A core of ferromagnetic material, said core having a first pole tip and a second pole tip, said pole tips being separated by a gap of non-magnetic material, said first pole tip having a first saturation density;
• a layer of magnetic material having a second saturation density that is higher than said first saturation density, said layer being situated between said first pole tip and said gap of non-magnetic material;
• a medium positioned adjacent to said pole tips, said medium having a surface that faces said pole tips and that is movable in a direction from said first pole tip to said second pole tip so that said first pole tip is a trailing tip and said second pole tip is a leading tip, said first pole tip including a first surface that faces said surface of said medium and said second pole tip including a second surface that faces said surface of said medium;
• and
• a conductive coil inductively coupled to said core so that said pole tips have opposite polarities when current flows through said conductive coil, wherein a magnetic field emanates, from one of said first surface of said first pole tip or said second surface of said second pole tip, and passes through said medium into the other of said pole tips, with a strength oriented substantially perpendicular to said surface of said medium that is larger than a maximum strength oriented parallel to said surface of said medium, and wherein said layer of material is magnetically coupled with said first pole tip so that said strength oriented substantially perpendicular to said surface of said medium is greater at said trailing pole tip than at said leading pole tip.