| Optical vortex beams means the phase as continuous and spiral beam of light, because it has special plane wave's phase to be subjected to very great respect of science field and far-ranging search in the nearer in the last years. The special plane wave structure of the optical whirlpool and the photon orbit of the assurance angular momentum, At atom optics and nonlinear optics, the optical micro drive, optics the information data encode and correspondence etc. have a very important application all very in many ways,Along with search of thorough, the optical vortex will apply in more and more realms to go.The textual search contents mainly includes the radical principle of vortex beam of light; A few creation methods of vortex beam of light and array vortex beam of light;The orbit angular momentum of the vortex beam of light characteristic, and took this as a starting point to particularly study the orbit angular momentum of array vortex beam of light, as to it's carry on mathematics analysis and related computing.The whole paper is divided into five chapters.Chapter 1: Outlined search back ground, search history and present condition of optical vortex and array vortex beam of light, and in brief introduced textual search purpose and meaningChapter 2: Discussed the radical principle of optical vortex, carried on a mathematical assurance to definition and present of optical vortex. From classic Maxwell's electromagnetic theory analyzing the orbit angular momentum of optical vortex characteristic from the theory,Simply introduces several methods of produce vortex beam and expounds its advantages and disadvantages, and introduces the traditional topology for integer beams of Hollywood when characteristics. Namely spiral phase board for generate the instrument of vortex beam of light, how output the biggest orbit angular momentum. These searches lay foundation to thorough understand and creation higher - mass vortex of optical vortex;Chapter 3: This chapter introduced the method of generating the array vortex beam of light, According to the basic theory of the orbital angular momentum (OAM) of light under paraxial condition, analyzing for the OAM of the beam. we investigate the OAM of strictly periodic arrays of optical vortices with rectangular symmetry. We find that the OAM per unit cell depends on the choice of unit cell and can even change sign when the unit cell is translated. This is the case even if the OAM in each unit cell is intrinsic, that is independent of the choice of measurement axis. We show that spin-like OAM can be found only if the OAM per unit cell vanishes. Although arbitrarily choose the lattice carried by the angular momentum and measurement of shaft, but no relationship position parameter beam orbital angular momentum density of w and function r lead to choose within the cell different orbital angular momentum .And then we analyze the photon's OAM of vortex array derived form three-beam interference of the plane waves to verify the conclusions .Our results are applicable to the z component of the angular momentum of any x- and y-periodic momentum distribution in the xy plane, and can also be applied to other periodic light beams and arrays of rotating solids or liquids.Chapter 4: The photon is the importance that the information delivers to carry a body, Vs the energy, momentum of photon and be partial to flap state progress an analysis decrypt and then can receive the optics information of mass that the photon takes, So as to it's of the search has an important application in the optics information data encode and correspondence etc.. Moreover, the optical vortex also has an important application in the tiny operate, and nonlinear optics. The paper also introduces the array of vortex light field study of meaning, and explains the application of optical field array vortex The deli of headquarter talked about optical whirlpool, array whirlpool the beam of light drives in the micro, atom optics, optics the possible application of the information data encode and correspondence etc..
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