【摘要】：在光波場中奇點(diǎn)光學(xué)已經(jīng)發(fā)展成為現(xiàn)代光學(xué)領(lǐng)域一個(gè)非常重要的光學(xué)分支,并在光通信、光電子學(xué)、遙感和原子俘獲以及量子信息處理等多方面顯示出非常誘人的應(yīng)用前景。本文分別研究了螺旋位錯(cuò)光束、圓刃型位錯(cuò)光束、圓刃型-螺旋型混合位錯(cuò)光束在自由空間、大氣湍流傳輸中的動(dòng)態(tài)演化規(guī)律。主要工作包括以下三部分:基于廣義惠更斯-菲涅爾原理,推導(dǎo)出部分相干螺旋位錯(cuò)光束在自由空間和大氣湍流傳輸中的交叉譜密度函數(shù)解析表達(dá)式,并用以研究了高階相干渦旋和高階光渦旋的動(dòng)態(tài)演化和傳輸軌跡。通過分析拓?fù)浜扇≈档牟煌?對(duì)高階相干渦旋和光渦旋的空間演化特性進(jìn)行了研究,研究表明:光場的部分相干性和大氣湍流的擾動(dòng)都會(huì)誘導(dǎo)高階相干渦旋發(fā)生分裂,此外,高階光渦旋在自由空間傳輸中,高階光渦旋不會(huì)發(fā)生分裂,隨傳輸距離的增加,光渦旋的位置坐標(biāo)沒有發(fā)生變化。推導(dǎo)出了圓刃型位錯(cuò)光束在自由空間和大氣湍流傳輸中的交叉譜密度函數(shù)解析表達(dá)式,研究了大氣湍流強(qiáng)度對(duì)圓刃型位錯(cuò)空間演化的影響。研究指出n個(gè)圓刃型位錯(cuò)在自由空間傳輸中,一直保持n個(gè)圓刃型位錯(cuò)。在大氣湍流傳輸中,n個(gè)圓刃型位錯(cuò)演化成n對(duì)拓?fù)浜上喾吹墓鉁u旋,每對(duì)光渦旋的位置坐標(biāo)關(guān)于y=x軸對(duì)稱,隨著傳輸距離的增加,每對(duì)光渦旋之間的距離先增大,后減小,直至每對(duì)光渦旋湮滅。另外,大氣湍流強(qiáng)度越大,每對(duì)光渦旋湮滅的越早。推導(dǎo)出了圓刃型-螺旋型混合位錯(cuò)光束在自由空間和大氣湍流傳輸中的交叉譜密度函數(shù)解析表達(dá)式,研究了圓刃型-螺旋型混合位錯(cuò)在空間中的動(dòng)態(tài)演化,并和螺旋位錯(cuò)、圓刃型位錯(cuò)在空間中的演化情況進(jìn)行了比較。研究發(fā)現(xiàn):圓刃型-螺旋型混合位錯(cuò)在自由空間傳輸中,隨著傳輸距離的增加,光渦旋和圓刃型位錯(cuò)一直存在。在大氣湍流傳輸中,隨著傳輸距離的增加,拓?fù)浜蔀?m光渦旋錯(cuò)演化為m個(gè)拓?fù)浜蔀?1的光渦旋,每個(gè)圓刃型位錯(cuò)會(huì)演化為1對(duì)光渦旋,其拓?fù)浜上喾础．?dāng)傳輸距離足夠遠(yuǎn),圓刃型位錯(cuò)演化為的1對(duì)光渦旋發(fā)生湮滅。此外,圓刃型-螺旋型混合位錯(cuò)中的圓刃型位錯(cuò)和光渦旋在空間中的演化特性和其獨(dú)自在空間中的演化特性相似。
[Abstract]:Singularity optics has developed into a very important optical branch in the field of modern optics, and has shown attractive applications in optical communication, optoelectronics, remote sensing, atomic capture and quantum information processing. In this paper, the dynamic evolution of helical dislocation beam, circular edge and helical mixed dislocation beam in free space and atmospheric turbulence propagation are studied respectively. The main work includes the following three parts: based on the generalized Huygens-Fresnel principle, the analytical expression of the cross-spectral density function of partially coherent helical dislocation beams in free space and atmospheric turbulence is derived. The dynamic evolution and propagation trajectory of high order coherent vortex and high order optical vortex are studied. The spatial evolution characteristics of high order coherent vortex and optical vortex are studied by analyzing the difference of topological charge. The results show that both the partial coherence of light field and the disturbance of atmospheric turbulence can induce the splitting of high order coherent vortex. In the free space propagation of high order optical vortex, the high order optical vortex does not split, and the position coordinates of the optical vortex do not change with the increase of transmission distance. The analytical expression of cross spectral density function of circular edge dislocation beam in free space and atmospheric turbulence propagation is derived. The influence of atmospheric turbulence intensity on the evolution of circular edge dislocation space is studied. It is pointed out that n circular edge dislocations keep n circular edge dislocations in free space transmission. In atmospheric turbulent transport, n circular edge dislocations evolve into light vortices with opposite topological loads. The coordinates of each pair of optical vortices are symmetric in respect of YX axis. With the increase of transmission distance, the distance between each pair of optical vortices increases first and then decreases. Until each pair of light vortices annihilates. In addition, the greater the intensity of atmospheric turbulence, the earlier each vortex annihilates. The analytical expression of cross spectral density function of circular edge and helical mixed dislocation beams in free space and atmospheric turbulence propagation is derived. The dynamic evolution of circular edge and helical mixed dislocation in space is studied, and the spiral dislocation is also studied. The evolution of circular edge dislocations in space is compared. It is found that the optical vortex and circular edge dislocation always exist in the free space transmission with the increase of transmission distance. In atmospheric turbulence propagation, with the increase of transmission distance, the topological charge of m optical vortex fault evolves into m light vortex with topological charge of 1, and each circular edge dislocation evolves into 1 pair of optical vortex, and its topology is opposite. When the transmission distance is long enough, the circular edge dislocation evolves into the annihilation of the optical vortex. In addition, the evolution characteristics of circular edge dislocation and optical vortex in space are similar to those in space.
【學(xué)位授予單位】：太原科技大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：O43

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本文編號(hào)：2298994