On the electromagnetic field of one- and two-dimensional gratings of large cylinders--Part II: Permeable cylinders in uniform field

The field pattern due to gratings of large ferromagnetic or conducting circular cylinders in a uniform external magnetic or electric field is calculated. The method used involves the relation between the size of the cylinder and the spacing of line charges forming dipoles codirectional with the external field. Solutions are provided for square as well as rectangular unit cells, including the one-dimensional (array) case. In the same context, a uniform field obliquely oriented towards the grating is considered, as is the flux pattern for the different configurations.