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FASOT-2望远镜的宽波段偏振分析器的设计与实测
其他题名Design and Measurement of the Polychromatic Polarimeter for the FASOT-2 Telescope
万凡
学位类型博士
导师屈中权 ; 钟悦
2023-07-01
学位授予单位中国科学院大学
学位授予地点北京
学位专业天文技术与方法
关键词FASOT-2 望远镜 宽波段偏振分析器 高偏振测量效率 波片延迟量测量 Mueller 矩阵测量
摘要太阳大气矢量磁场的精细研究对分析太阳大气各种剧烈活动的产生与联系具有重要意义。目前对于磁场的精确测量主要是基于塞曼效应与各种磁光效应对目标源的磁敏线进行高精度的偏振测量。为了获得高精度的磁场信息,太阳物理学家们对望远镜的偏振测量精度提出了较高的要求。目前国内外主流的太阳光学望远镜的偏振测量精度普遍都在 10−3𝐼𝑐 ∼ 10−4𝐼𝑐 量级,若想在此基础上进一步提高望远镜的偏振测量精度,则需要对望远镜的各子系统可能引入的偏振 测量误差进行更精细的分析并加以抑制。 中国科学院云南天文台正在研制的第二代光纤阵列太阳光学望远镜 (Fiber Array Solar Optical Telescope of the second generation,FASOT-2) 致力于同时测量待测目标源的二维平面偏振信号与不同大气深度的磁敏线偏振信号,且偏振测量精度要求达到 8 × 10−4𝐼𝑐 量级。为了达到如此高的偏振测量精度,对 FASOT-2 望远镜的各子系统可能引入的偏振测量误差均需要精细的计算并加以抑制。而偏振测量系统作为望远镜的核心系终端设备之一,对偏振分析器的偏振性能进行详细的分析是十分有必要的。本文立足于 FASOT-2 望远镜的偏振测量系统主要进行了以下三个研究工作。 1.设计了一款宽波段的高偏振测量效率的双光束偏振分析器,满足了FASOT- 2 望远镜对分布在500nm∼900nm 的目标磁敏线同时进行高精度测量的科学目的。在整个波段内各磁敏线的偏振测量效率满足 𝜖𝑄𝑖𝑛/𝐼𝑖𝑛 ≥ 0.5,𝜖𝑈𝑖𝑛/𝐼𝑖𝑛 ≥ 0.51, 𝜖𝑉𝑖𝑛/𝐼𝑖𝑛 ≥ 0.52,𝜖𝑡𝑜𝑙 ≥ 0.98,且各偏振分量的效率平衡也得到了保证,有效的抑制了接收光强误差引入的偏振测量误差。并且设计的偏振分析器采用非消色差波片作为偏振调制器实现消色差特性,避免了使用液晶材料 (FLC、LCVR) 作为调制器对环境温度或外加电压敏感的缺陷,其稳定性更高,但不可避免的会牺牲一 定的时间分辨率。也避免了采用超消色差波片作为偏振调制器其延迟量在宽波 段范围内不准确引入的偏振测量误差。设计的双光束偏振分析器整体结构简单、 稳定性高、抗干扰性强、维护简单。且该偏振分析器还采用约化偏振光学开关进 行偏振调制,可同时极小化大气视宁度 Seeing 与双光束路径增益因子不同引入 的偏振测量误差。此外,采用偏振分析器与定标单元相结合的定标方式,极小化望远镜引入的附加偏振,进一步提高望远镜的偏振测量精度。2. 对构成宽波段偏振分析器与偏振定标单元的非消色差波片的性能参数如 延迟量 𝛿 与快轴方位角 𝜃 进行精确的测量并加以校正,消除由于光学元器件制 造缺陷引入的偏振测量误差。本文在拟合光强法的基础上结合光谱分析法设计了一套测量系统,对延迟量分布在 0 ∼ 2𝜋 范围内的非消色差波片均能实现高精度的测量。 利用拟合光强法测量延迟量 ≠ 𝜋 的波片其测量精度比传统的光强法高一个数量级以上。并在此测量系统上结合光谱分析法可克服光强法不能测量波片延迟量在 𝜋 附近的缺陷,对于延迟量在 𝜋 附近的波片,光谱分析法的测量精度很高。利用该测量系统对组成宽波段偏振分析器与偏振定标单元的非消色 差波片进行精确的测量定标。3. 将组装成功的偏振分析器安装到望远镜的后端之前,在实验室对其偏振 测量效率进行实际测量。在排除了 FASOT-2 望远镜其它子系统可能耦合进的偏振测量误差,单独对偏振分析器自身的性能进行定标,测量其实际测量效率并与理论值进行对比,定量的分析可能由于安装误差引入的测量误差并加以校正。对宽波段偏振分析器的偏振测量效率的实测方法研究是基于对偏振分析器处于某 一波长点某一调制态下 Mueller 矩阵的测量。通过测量偏振分析器处于不同调制 态的 Mueller 矩阵,得到调制矩阵 𝐎,再通过对调制矩阵求广义逆矩阵得到解调矩阵 𝐃,最终得到偏振分析器处于某一 波长点的实测偏振测量效率 (𝜖𝑄𝑖𝑛/𝐼𝑖𝑛,𝜖𝑈𝑖𝑛/𝐼𝑖𝑛,𝜖𝑉𝑖𝑛/𝐼𝑖𝑛,𝜖𝑡𝑜𝑙)。即可测量出偏振分析器在各波长采样点的偏振测量效率。由实测结果可知,在排除望远镜其它子系统的误差干扰后,偏振分析器自身的偏振测量效率与 理论设计值偏差很小,且偏振分析器自身对于元器件的安装误差不敏感,整个偏 振测量系统引入的偏振测量误差较小。因此偏振测量误差来源分析及抑制可能 更着重于 FASOT-2 望远镜其它子系统。本文的研究工作完成了 FASOT-2 望远镜宽波段高偏振测量效率的双光束偏 振分析器的设计,偏振测量系统所使用波片的延迟量的精确测量与偏振分析器 的偏振测量效率的实测定标。为 FASOT-2 望远镜实现宽波段高精度偏振测量的 科学目的踏出了重要的一步。关键词: FASOT-2 望远镜,宽波段偏振分析器,高偏振测量效率,波片延迟量 测量,Mueller 矩阵测量
其他摘要The accurate measurement of the solar atmospheric vector magnetic field is important for the analysis of the generation and connection of various violent activities in the solar atmosphere. At present, the precise measurement of the magnetic field is mainly based on the high-precision polarimetry of magneto-sensitive lines caused by Zeeman effect and magneto-optical effect. In order to obtain high-precision magnetic field information, solar physicists demand high precision in the polarimetry of the telescope. Nowadays, the polarimeric accuracy of the current mainstream solar optical telescopes is 10−3Ic ~ 10−4Ic . If the polarimetric accuracy wants to be improved further, the polarimetric errors that may be introduced by each subsystem of the telescope need to be analyzed and suppressed more finely.Fiber Array Solar Optical Telescope of the second generation (FASOT-2), which is being developed by Yunnan Observatories, Chinese Academy of Sciences, aims to simultaneously measure polarization signals of two-dimensional of the target source and that of spectral lines at different atmospheric depths. The polarimetric accuracy of FASOT-2 is required to reach 8 × 10−4𝐼𝑐 . In order to achieve the scientific observation target of FASOT-2 telescope with high polarimetric accuracy over broad band, the polarimetric errors that may be introduced by each subsystem of FASOT-2 telescope need to be carefully calculated and suppressed. As one of the core terminal devices of the solar optical telescope to measure the magnetic field, it is necessary to analyze the polarimetric performance of the polarimeter in detail. in this paper, the three studies have been carried out on the polarimetric system of FASOT-2 telescope.1. A dual-beam polarimeter with high polarimetric efficiency over the wide band has been designed, which can meet the scientific goal of the FASOT-2 telescope for high-precision measurements of target magneto-sensitive lines over 500nm∼900nm. The polarimetric efficiency satisfies 𝜖𝑄𝑖𝑛/𝐼𝑖𝑛 ≥ 0.5, 𝜖𝑈𝑖𝑛/𝐼𝑖𝑛 ≥ 0.51, 𝜖𝑉𝑖𝑛/𝐼𝑖𝑛 ≥ 0.52, 𝜖𝑡𝑜𝑙 ≥ 0.98, and the efficiency balance among them is also well guaranteed. In addition, the polychromatic characteristic of the polarimeier is achieved by using non-achromatic waveplates as the modulator, which avoids the defect, sensitive to ambient temperature or applied voltage, of liquid crystal materials (FLC, LCVR). And the stability of waveplates is higher, but the time resolution is lower than that of liquid crystal materials. The non-achromatic waveplates also avoids the defect that the retardance of the super-achromatic waveplates over the wide band is not accurate. Furthmore, the non-achromatic waveplates can be more available in the market. The polarimeter designed in this paper has the features of simple structure, high stability, strong anti-interference and simple maintenance. Moreover, it adopts the modulation method of Reduced Polarimetric Optics Switching(RPOS), which can minimize the polarimetric errors introduced by the telluric Seeing and different gain factors along different beam paths at the same time. In addition, the polarimeter is combined with the calibration unit to minimize the additional polarimetric errors introduced by the telescope itself. Thus the polarimetric accuracy of the telescope can be improved further.2. The parameters such as the retardance 𝛿 and fast-axis azimuth 𝜃 of the non-achromatic waveplates that constitute the wide-band polarimeter and the polarization calibration unit are accurately measured and corrected, which can further minimize the polarimetric errors introduced by the manufacturing defects of optical components. In this paper, a measurement system based on the fitted intensity method and the spectral analysis method is established, which can achieve high accuracy measurement for non-achromatic waveplates with the retardance over 0 ∼ 2𝜋. The measurement accuracy of the waveplate with retardance ≠ 𝜋 is higher than that of the conventional optical intensity method more than one order of magnitude, and the spectral analysis method based on this measurement system can overcome the defect that the optical intensity method cannot measure the waveplate with the retardance of 𝜋. And the measurement accuracy of the waveplates with the retardance near 𝜋 is higher by using the spectral analysis method. The measurement system can be used to accurately measure and calibrate the the retardances of the non-achromatic half waveplates and quarter waveplates, a part of polychromatic polarimeter.3. The polarimetric efficiency of the assembled polychromatic polarimeter should be actually measured in the laboratory and compared with the theoretical values before it is installed on the telescope. In order to quantitatively measure the polarimetric errors that may be introduced by mounting errors and further analyze the effect of this bias on the performance of the FASOT-2 telescope. The research of the polarimetric efficiency of the polychromatic polarimeter is based on the measurement of the Mueller matrix at a certain wavelength point and a certain modulation state. By repeatedly measuring the Mueller matrix of the polarimeter at different modulation states, the modulation matrix O can be obtained, and then the demodulation matrix D is obtained by calculating the generalized inverse matrix of the O. Finally, according to the definition of the polarimetric efficiency, thus the polarimetric efficiency(𝜖𝑄𝑖𝑛/𝐼𝑖𝑛,𝜖𝑈𝑖𝑛/𝐼𝑖𝑛,𝜖𝑉𝑖𝑛/𝐼𝑖𝑛,𝜖𝑡𝑜𝑙) of polychromatic polarimeter at a particular wavelength point can be obtained. By changing the dispersion center wavelength of the spectrometer, the polarimetric efficiency of the polarimeter at 500nm∼900nm can be measured. The measured results show that the polarimetric efficiency has little deviation from the theoretical value after excluding the errors introduced by other subsystems of the telescope. And the polychromatic polarimeter is not sensitive to the installation errors of optical components. So the polarimetric errors of the telescope are not be introduced by the polarimetric sys tem. Therefore, the source analysis and suppression of polarimetric errors of FASOT-2 telescope may be more focused on other subsystems.In this paper, a dual-beam polychromatic polarimeter of the FASOT-2 telescope with high polarimetric efficiency over the wide band has been designed, and the accurate measurement of the retardance of the waveplates, the optical components used in the polarimetric system, have been completed. In addition, the actual measurement of the polarimetric efficiencies of the polychromatic polarimeter over the broad band have also been completed. The measured results confirm the superior performance of the designed polychromatic polarimeter. This is an important step for the FASOT-2 telescope to achieve high precision polarization measurement over the wide band.Key Words: FASOT-2 telescope, Polychromatic polarimeter, High polarimetric efficiency, Accurate measurement of the retardance, Accurate measurement of Mueller matrix
学科领域天文学
学科门类理学 ; 理学::天文学
页数0
语种中文
文献类型学位论文
条目标识符http://ir.ynao.ac.cn/handle/114a53/26399
专题光纤阵列太阳光学望远镜研究组
作者单位中国科学院云南天文台
第一作者单位中国科学院云南天文台
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万凡. FASOT-2望远镜的宽波段偏振分析器的设计与实测[D]. 北京. 中国科学院大学,2023.
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