Diffraction of a pseudo nondiffracting Bessel beam by a circular perfect electromagnetic conductor disk

Abstract

This study examined the diffraction of a pseudo nondiffracting Bessel beam by a perfect electromagnetic disk. The geometric optics beam waves were written from the geometry of the problem and related boundary conditions. The diffracted beam waves were derived by utilizing the relation between geometric optics and diffracted waves at the transition boundaries, considering the high frequency asymptotic expression of the scattered wave. The uniform scattered beam waves were expressed in terms of Fresnel functions with the uniform geometrical theory of the diffraction method. Thus, finite magnitudes were read at the transition boundaries. Finally, the obtained uniform expressions were investigated numerically for different groups of parameters.