Tanaka K, Taguchi M, Tanaka T
Department of Electrical Electronic Engineering, Nagasaki University, Japan.
J Opt Soc Am A Opt Image Sci Vis. 2001 Jul;18(7):1644-9. doi: 10.1364/josaa.18.001644.
A diffraction-free beam is obtained by the superposing of plane waves whose wave vectors make an angle with the propagation axis. These plane waves are realized with point sources that are distributed uniformly around a circle and an infinitely large aperture lens. After the field passes through the lens it has nondiffracting properties and is described by the zero-order Bessel function. Relaxing these conditions makes the beam diffraction free within only a limited region. The beam generated from such a geometry is referred to as a quasi-diffraction-free beam. The effects of the width of the annular source on the beam spread are discussed and compared with those for a Gaussian beam. Approximate expressions for quasi-diffraction-free beams are also obtained.
