Formation of signals matched with vortex eigenfunctions of bounded double lens system

This paper is devoted to theoretical analysis of optical signals passing through a double lens imaging system based on the double finite Hankel transform of vortex order m. The set of vortex eigenfunctions of such system was calculated, which permitted to analyze optical signal transmission distortion based on the approximation by this eigenfunctions. Analysis of various signals passing through a double lens system based on the approximation by calculated eigenfunctions demonstrated growing deviation when the order of vortex phase singularity in the original signal increases. This fact needs to be taken into account in such applications as optical communication when mode division multiplexing based on orbital angular momentum is used.