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Study on Propagation Properties and Phase Singularities of Dark-hollow Beams

Author: LiuQiuPing
Tutor: ZengYangSu
School: Hunan Normal University
Course: Optics
Keywords: Hollow beams Singular optics Complex optical system Diffraction integral
CLC: O436
Type: Master's thesis
Year: 2010
Downloads: 133
Quote: 2
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Abstract


The hollow beam theory model, transmission, and transform laser optical research has been an important issue. As we all know, the initial field of the hollow beam distribution with a phase singularity, caused widespread concern, but it is hollow beams in complex optical system (such as the grating lens system, a non-collimated optical system, etc.) diffraction singular optics effect in the process of transmission and transformation of its transmission has not been thoroughly studied. This paper introduces the basic concepts, theories and research methods of hollow beams, and then study the diffraction properties of hollow beams in complex optical systems, and analysis of the spatial distribution of the diffracted field phase singularity, evolution, and their interactions. The main content of this paper is: first introduced the first two chapters of the hollow beam and singularity of the basic concepts of optics, the characteristics of its expression, summarizes the the hollow beams realization method and its application, and then summarized the research beam transmission problems basic theory and research methods to analyze the advantages and disadvantages of the various research methods and the scope of the final comparative analysis of the Huygens - Fresnel diffraction integral theory in principle, Kirchhoff diffraction integral formula, Collins formula, Rayleigh - Sommerfeld diffraction integral formula and the angular spectrum theory. Third, IV and V is the study of the effect of the hollow beam transmission characteristics and singularity. In the third chapter, we study the typical non-uniform amplitude the hollow beam - hollow Gaussian beam the 2D sinusoidal phase grating diffraction, Collins formula derived hollow Gaussian beam through a diffraction grating lens system, the electric field equation intensity distribution function and phase distribution function, and numerical simulation method to discuss the effects of various parameters on the distribution of the intensity of the diffracted field space analysis of changes in the system parameters of the the hollow beam diffracted light field phase singularities the position of the number of optical vortex. Collimating lens system transformation matrix system with non-collimated Collins diffraction integral formula in chapters 4 and 5, the paper, the two hollow beams - hollow Gaussian beams and elliptical hollow beam in the hard-edged round hole diaphragm composed of complicated optical system and a non-collimating lens in the transport properties and optical effects of the singular point. The papers have been two hollow beams diffracted by the complexity of the optical system of the electric field equation, the beam characteristics and surface distribution law, the transmission characteristics of both beam through the complex optical system. The results show that: the order of hollow Gaussian beam waist and non-collimated 4f lens system dislocation displacement in the diffraction field light intensity distribution has a great influence. Elliptical Gaussian beams centrifugal coefficient distribution of light intensity and phase of the diffracted field. Chapter VI is a summary of the full text and a summary of the findings of the paper.

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CLC: > Mathematical sciences and chemical > Physics > Optics > Physical optics ( wave optics )
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