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

Abstract

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)r². 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+αZ)⁻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.