Coupled dilaton and electromagnetic field in cylindrically symmetric spacetime

An exact solution is obtained for coupled dilaton and electromagnetic field in a cylindrically symmetric spacetime where an axial magnetic field as we ll as a radial electric field both are present. Depending on the choice of the arbitrary constants our solution reduces either to dilatonic gravity wi th pure electric field or to that with pure magnetic field. In the first ca se we have a curvature singularity at a finite distance from the axis indic ating the existence of the boundary of a charged cylinder which may represe nt the source of the electric field. For the second case we have a singular ity on the axis. When the dilaton field is absent the electromagnetic field disappears in both the cases. Whereas the contrary is not true. It is furt her shown that light rays except for those proceeding in the radial directi on are either trapped or escape to infinity depending on the magnitudes of certain constant parameters as well as on the nature of the electromagnetic field. Nature of circular geodesics is also studied in the presence of dil aton field in the cylindrically symmetric spacetime.