Superluminal, luminal, and subluminal nondiffracting pulses applied to free-space optical systems: theoretical description

Abstract

In this paper, we show theoretically nondiffracting pulses with arbitrary peak velocities that are suitable for data signal transmission without distortion over long distances using different techniques of signal modulation. Our results provide closed-form analytical solutions to the wave equation describing superluminal, luminal, and subluminal ideal nondiffracting pulses with frequency spectra commonly used in the field of optical communications