本文選題：軌道角動量 + 大氣湍流　； 參考：《哈爾濱工業(yè)大學》2017年碩士論文

【摘要】：近年來,如何進一步提高信道容量以滿足人們日益增長的信息需求成為了通信領域的研究熱點。軌道角動量(Orbital Angular Momentum)理論上具有無限多個模式,而且模式間彼此正交,因此攜帶軌道角動量的電磁波束為拓展信道容量提供了潛在的理論方法,形成了繼時分復用,頻分復用,波分復用等復用方式之后的一種全新的復用方式——態(tài)分復用。在通信及雷達探測等領域具有廣泛的應用前景。首先,本文基于拉塞爾-高斯波束的解析表達式,研究了渦旋電磁波的產生,對相位奇點和軌道角動量特性進行了詳細分析。利用Matlab仿真軟件計算了渦旋波束在理想環(huán)境下,不同模式數(shù)相同截面條件下的能量和相位分布,相同模式數(shù)不同截面條件下的能量和相位分布及混合模式條件下的能量和相位分布。其次,介紹了Kolmogorov大氣湍流理論,標量場衍射理論和角動量譜分解理論,進而針對微波波段上對大氣折射率常數(shù)造成主要影響的各因素,建立模型并對大氣折射率數(shù)值的變化進行了分析,在此基礎上采用功率譜反演法和Zernike多項式法分別構造相位屏,比較了二者的優(yōu)缺點并以此為基礎模擬渦旋波束在湍流環(huán)境中傳播特定距離時大氣湍流對軌道角動量模式能量及相位分布的影響,計算并分析了渦旋電磁波傳輸特定距離后的軌道角動量能量占比分布情況。最后,確定了本文對于波前畸變程度的評價標準——RMS(Root Mean Square)和PV(Peak to Valley)。介紹了S-H波前探測器的系統(tǒng)組成,基于模式法波前重構理論對采用Zernike多項式進行波前重構過程中存在的截斷誤差進行了仿真分析。對經(jīng)過湍流后的畸變波前進行了補償,并通過譜分解方法對軌道角動量模式補償效果進行了分析。
[Abstract]:In recent years, how to further improve the channel capacity to meet the increasing information needs has become a research hotspot in the field of communication. Orbital angular momentum (Orbital Angular momentum) has infinite modes in theory, and the modes are orthogonal to each other. Therefore, the electromagnetic beam carrying orbital angular momentum provides a potential theoretical method for expanding the channel capacity and forms the following time division multiplexing (TDM) and frequency division multiplexing (FDM). After wavelength division multiplexing and other multiplexing, a new multiplexing mode-state division multiplexing. It has a wide application prospect in the field of communication and radar detection. Firstly, based on the analytical expression of Laser-Gaussian beam, the generation of vortex electromagnetic wave is studied, and the characteristics of phase singularity and orbital angular momentum are analyzed in detail. The energy and phase distributions of vortex beam in ideal environment with the same cross section of different modes are calculated by Matlab simulation software. The distribution of energy and phase under the same number of modes and different cross sections and the distribution of energy and phase under mixed mode. Secondly, Kolmogorov's atmospheric turbulence theory, scalar field diffraction theory and angular momentum spectrum decomposition theory are introduced. The model is established and the variation of atmospheric refractive index is analyzed. Based on this, the phase screen is constructed by power spectrum inversion method and Zernike polynomial method, respectively. The advantages and disadvantages of the two methods are compared and the effects of atmospheric turbulence on the energy and phase distribution of orbital angular momentum model are simulated when vortex beam propagates at a specific distance in turbulent environment. The distribution of orbital angular momentum energy after the vortex electromagnetic wave propagates at a specific distance is calculated and analyzed. Finally, the criteria for evaluating the degree of pre-distortion of Yu Bo are determined, which are the RMS Root mean Square-and the Peak to Valleyn. The system composition of S-H wavefront detector is introduced. The truncation error in the process of wavefront reconstruction using Zernike polynomials is simulated and analyzed based on the mode method wave-front reconstruction theory. The distortion wavefront after turbulence is compensated and the compensation effect of orbital angular momentum mode is analyzed by spectral decomposition method.
【學位授予單位】：哈爾濱工業(yè)大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：TN011

【參考文獻】

相關期刊論文 前7條

1 王軼凡;趙恒凱;王曉飛;鄭國莘;;穩(wěn)定大氣環(huán)境邊界層微波折射率結構常數(shù)建模[J];電子測量技術;2015年04期

2 晉軍;邵尉;孟凡秋;;渦旋電磁波在軍事無線通信中的應用[J];通信技術;2014年09期

3 蔡冬梅;王昆;賈鵬;王東;劉建霞;;功率譜反演大氣湍流隨機相位屏采樣方法的研究[J];物理學報;2014年10期

4 劉義東;高春清;李豐;高明偉;;部分相干光的軌道角動量及其譜的分析研究[J];應用光學;2007年04期

5 張慧敏,李新陽;熱風式大氣湍流模擬裝置的哈特曼測量[J];光電工程;2004年S1期

6 楊瑞科,吳振森,趙振維;微波斜徑傳播對流層大氣湍流結構常數(shù)模型[J];微波學報;2003年02期

7 袁仁民,曾宗泳,肖黎明,馬成勝;湍流池湍流特征研究[J];力學學報;2000年03期

相關博士學位論文 前1條

1 夏愛利;基于Shack-Hartmann波前傳感器的自適應光學系統(tǒng)研究[D];中國科學院研究生院(西安光學精密機械研究所);2011年

相關碩士學位論文 前4條

1 戴坤健;OAM光束傳輸特性及自適應光學波前畸變校正技術研究[D];北京理工大學;2015年

2 張曉波;大氣激光通信湍流效應分析與仿真[D];西安電子科技大學;2013年

3 張曉雪;基于液晶的大氣湍流模擬器設計[D];長春理工大學;2010年

4 汪洲;大氣光通信中波前畸變補償算法研究[D];華中科技大學;2009年

，

本文編號：2008196