We have made a multimode waveguide of x rays having an air gap as the guidi
ng medium. Individual transverse electric modes were found to propagate thr
ough the planar waveguide with essentially no attenuation and with negligib
le scattering losses to other modes. If different modes are excited simulta
neously at the waveguide entrance, then the phase relation between these mo
des as given by their propagation constants is found to be preserved over t
he entire length of the waveguide.