“…(8), all contours in the conformal lens can be generated so that its true time delay properties are the same as the conventional lens. It should be noted that since the geodesics equation is applied on its local coordinates, i.e., cylindrical coordinate system for a cylindrical surface, in the second step to conform the lens, we apply (8) in the local geodesics coordinates of the surface. In this case, this local coordinate system has its origin at O local (0, 0, −R), and its unit vectors are x loc = x, y loc = − z , and z loc = y .…”