Fresnel Formulas for Nondiffracting Electromagnetic Waves

The generalization of Fresnel equations for non-diffracting waves are presented. The obtained equations determine refraction and reflection coefficients in case of plain interface between different media. Brewster's angle analogue and total reflection condition are obtained, as well. These equations reduces to the classical Fresnel equations in case of plane wave limit. As an application of the obtained equations, electromagnetic field distribution in a plane dielectric wave guide is examined in the new way. The obtained dispersion relations are independent of the nondiffracting wave electromagnetic field distribution. This implies, that an infinite number of electromagnetic field configurations may exist at a fixed frequency in the plain dielectric wave guide.