A novel surface sensitive experimental method, “X-ray traveling wave”, is proposed. This method utilizes the total reflection of X-rays. Many difficulties are in principle arising in this method. To avoid these difficulties, it is described that the wave guide technique is useful. Errata of equations presented in published papers by the present author and others are described. The details of the total reflection of X-rays are qualitatively described using illustrations. The traveling wave can be detected when the surface is coated by thin layers in such a way that the reflected X-rays are annihilated due to the phase inversion.