Decomposing magnetic fields into their higher harmonics

When it is necessary to decompose a magnetic field into its higher harmonics the same methods used for analyzing current and voltage waves may be employed. In many cases, however, the usual long mathematical operations can be avoided by representing the field shapes as geometrical figures, such as triangles rectangles, trapezoids, etc., all of which waves may be considered as composed of a number of triangular waves with certain phase displacements against each other. Equations are then deduced for the harmonics of various wave shapes based upon Fourier's equation for a triangular field.