Electromagnetic wave propagation in a radially and axially non-uniform medium: optics of SELFOC fibres and rods; wave optics considerations

This communication presents an analysis of the propagation of an electromagnetic wave in a medium in which the variation of dielectric constant is of the form = (0) - (2) ( Z ) r 2 . Explicit expressions for the intensity at any point have been obtained for (2) ( Z ) = constant, and numerical calculations have been presented for the case when (2) ( Z ) = 20 (1+α Z ) −2 and compared with the results obtained earlier, using the geometrical optics approximation. These two forms for the variation of (2) ( Z ) with Z correspond to the cylindrical and conical SELFOC fibres and rods.