Method for constructing elliptic helical Mathieu optical vortices beam based on stationary phase process

Abstract

The invention discloses a method for constructing an elliptic helical Mathieu optical vortices beam based on a stationary phase process. According to the method, arrays of odd-type and even-type angular-direction Mathieu functions of the same type and the same order are calculated based on the definition of an angular-direction Mathieu function, and the odd-number unit i is multiplied by the array of the odd-type angular-direction Mathieu functions and the array of the even-type angular-direction Mathieu functions, In this way, a plurality of groups of elliptic helical Mathieu optical vortices capable of generating elliptic helical Mathieu optical vortices beams are obtained. An amplitude distribution and a radial-helical phase distribution capable of generating the elliptic helical Mathieu optical vortices beam are constructed by using the plurality of groups of elliptic helical Mathieu optical vortices. A radial-helical phase distribution grey-scale map is processed into a phase mask plate by using a laser direct writing system, and amplitude distribution is loaded by using an amplitude type spatial light modulator. The amplitude and phase of incident parallel light beams are modulated at the same time, and elliptic helical Mathieu optical vortices beam are generated after Fresnel diffraction. The method is used for generating the elliptic helical Mathieu optical vortices beam, and the light energy utilization rate is very high.

Description

technical field [0001] The invention relates to the generation, regulation and transformation technology of non-diffracting light beams. It uses an amplitude-type spatial light modulator and a phase mask to modulate the amplitude and phase of the incident light beams respectively, and accurately and efficiently generate elliptical spiral mattes in free space. The elliptic helical Mathieu optical vortices beam method. Background technique [0002] In the process of free space propagation, a beam that does not undergo spatial diffusion is called a non-diffracting beam. The non-diffraction beam has the characteristic that the optical shape does not change during the propagation process, and is widely used in laser processing, optical capture, space communication, quantum optics and other fields. In 1987, Durnin proposed the concept of non-diffracting beam for the first time, and proposed to generate the first non-diffractive Bessel beam (Bessel) based on the annular slit metho...

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However, due to its complex structure, it is more difficult to produce experimentally

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