Propagation and radiation field characteristics of nanometer electromagnetic waves in X-ray dielectric waveguides with random media

X-rays in the nanometer electromagnetic region are useful for nanospace fabrication, information and high-energy transmission and control techniques of angstrom-size structures in biomedical sciences and technology. In this paper, the electromagnetic fields in X-ray gradient fiber with random refractive index media are studied. Statistical mode conversion of beam propagation, beam broadening, and beam center are investigated by the stochastic process theory of electromagnetic fields.