head 51 fig4 shows drawings of a typical example illustrating a shape of an air bearing surface and a cross section of a magnetic head according to an embodiment of the present invention fig4 a shows an air bearing surface view and fig4 b shows a cross sectional view as indicated in fig4 b which shows a cross sectional view a feature of the magnetic head of the present invention is that the wrap around shield part has a step in the height direction of the main pole 2 as shown in the figure by fabricating the wrap around shields 6 and 7 which are surrounding the sides of the main pole 2 while separating them in the thickness direction of the main pole moreover controlling the gap spacing between the main pole 2 and the wrap around shield 46 in the trailing direction gt the gap spacing between the main pole and the wrap around shield in the cross track direction gs and the thickness of the wrap around shield in the sensor height direction the height in the sensor height direction gd is very important fig5 is a figure showing the relationship obtained by a three dimensional magnetic field calculation.