Uncoupled cylindrical wave modes for a radially inhomogeneous medium

The equations for the transformation of the tangential electric and magnetic fields through a series of uniform cylindrical layers of arbitrary properties are transformed from their generally coupled form to an uncoupled set of two equations. The complexity of the transformation matrices is thereby greatly reduced. The decoupling operation amounts to a coordinate transformation which has a direct correspondence with the rotation of axes to the plane of propagation in the case of rectangular coordinates. The immediate usefulness of this approach for impedance transformation is shown.