本文選題：軌道角動(dòng)量 + 大氣湍流�。� 參考：《哈爾濱工業(yè)大學(xué)》2017年碩士論文

【摘要】：近年來(lái),如何進(jìn)一步提高信道容量以滿足人們?nèi)找嬖鲩L(zhǎng)的信息需求成為了通信領(lǐng)域的研究熱點(diǎn)。軌道角動(dòng)量(Orbital Angular Momentum)理論上具有無(wú)限多個(gè)模式,而且模式間彼此正交,因此攜帶軌道角動(dòng)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(shí)分復(fù)用,頻分復(fù)用,波分復(fù)用等復(fù)用方式之后的一種全新的復(fù)用方式——態(tài)分復(fù)用。在通信及雷達(dá)探測(cè)等領(lǐng)域具有廣泛的應(yīng)用前景。首先,本文基于拉塞爾-高斯波束的解析表達(dá)式,研究了渦旋電磁波的產(chǎn)生,對(duì)相位奇點(diǎn)和軌道角動(dòng)量特性進(jìn)行了詳細(xì)分析。利用Matlab仿真軟件計(jì)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(biāo)量場(chǎng)衍射理論和角動(dòng)量譜分解理論,進(jìn)而針對(duì)微波波段上對(duì)大氣折射率常數(shù)造成主要影響的各因素,建立模型并對(duì)大氣折射率數(shù)值的變化進(jìn)行了分析,在此基礎(chǔ)上采用功率譜反演法和Zernike多項(xiàng)式法分別構(gòu)造相位屏,比較了二者的優(yōu)缺點(diǎn)并以此為基礎(chǔ)模擬渦旋波束在湍流環(huán)境中傳播特定距離時(shí)大氣湍流對(duì)軌道角動(dòng)量模式能量及相位分布的影響,計(jì)算并分析了渦旋電磁波傳輸特定距離后的軌道角動(dòng)量能量占比分布情況。最后,確定了本文對(duì)于波前畸變程度的評(píng)價(jià)標(biāo)準(zhǔn)——RMS(Root Mean Square)和PV(Peak to Valley)。介紹了S-H波前探測(cè)器的系統(tǒng)組成,基于模式法波前重構(gòu)理論對(duì)采用Zernike多項(xiàng)式進(jìn)行波前重構(gòu)過(guò)程中存在的截?cái)嗾`差進(jìn)行了仿真分析。對(duì)經(jīng)過(guò)湍流后的畸變波前進(jìn)行了補(bǔ)償,并通過(guò)譜分解方法對(duì)軌道角動(dòng)量模式補(bǔ)償效果進(jìn)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(xué)位授予單位】：哈爾濱工業(yè)大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：TN011

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本文編號(hào)：2008196