Comprehensive characterization of a general composite waveplate by spectroscopic Mueller matrix polarimetry

Gu, Honggang; Chen, Xiuguo; Shi, Yian; Jiang, Hao; Zhang, Chuanwei; Gong, Peng; Liu, Shiyuan

doi:10.1364/oe.26.025408

Cited by 26 publications

(6 citation statements)

References 51 publications

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“…where the superscripts "c" represents the calculated matrix; LD is described with a diattenuation angle ψ (Gu et al, 2018); the CB is described with an optical rotation angle γ (Lo, 2012). The muller matrix of the reflective layer MRf is a diagonal matrix, whose diagonal elements are 1, 1, −1, and −1.…”

Section: Principle and Methodsmentioning

confidence: 99%

Remote Attitude Sensing Based on High-Speed Mueller Matrix Ellipsometry

Zhang

Jiang

et al. 2020

Int. Arch. Photogramm. Remote Sens. Spatial Inf. Sci.

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Abstract. The attitude metrology of moving objects has always been a hot topic in engineering applications. In this article, a novel optical method based on the high-speed Mueller matrix ellipsometry (MME) is proposed for real-time remote attitude sensing. With the help of an electric level, all the attitude angles of a free-moving object with a birefringent waveplate attached can be simultaneously extracted in real time. Compared with existing ellipsometry-based attitude metrology that can only be used in the transmission mode, the proposed method with the advantages of the high-speed MME can expand the application to both the transmission and reflection modes while maintaining higher accuracy and robustness in an ultra-large measurement range. The basic principle is presented via theoretical derivation, and the change in the Mueller matrix of the birefringent waveplate versus the attitude angles is explored in the simulated experiments. In a series of the dynamic experiments, with the extremely high temporal resolution and accuracy of the high-speed MME, an angular resolution up to 0.00022° and an angular accuracy better than 0.01° are achieved in the real-time attitude tracking of the free-moving object. As an additional benefit, the real-time angular velocity and acceleration of all the attitude angles can be obtained simultaneously. These experimental results demonstrate that the proposed attitude metrology is ready to be applied to the real-time remote attitude sensing with high angular resolution and accuracy.

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Section: Principle and Methodsmentioning

confidence: 99%

Remote Attitude Sensing Based on High-Speed Mueller Matrix Ellipsometry

Zhang

Jiang

et al. 2020

Int. Arch. Photogramm. Remote Sens. Spatial Inf. Sci.

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“…Since in the present work we mainly focus on the issues induced by Gaussian additive noise, Poisson shot noise, and the bias of the trigger signal, the details of the calibration could refer to [34]. Besides, we have developed a broadband MME and proposed a series of general methods on system calibration [34], wave plate alignment, and calibration [35][36][37][38][39] as well as depolarization correction [40] to ensure the performance of the developed instrument. The system parameter p can be obtained from the following equation:…”

Section: Instrument and Principlementioning

confidence: 99%

Error Analysis for Repeatability Enhancement of a Dual-Rotation Mueller Matrix Ellipsometer

et al. 2022

Self Cite

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Since the Mueller matrix ellipsometer has been used as a highly accurate tool for thin film measurement, the error analysis and repeatability enhancement of such a tool are of great importance. The existence of the Poisson–Gaussian mixed noise and the random bias of the trigger signal in the optical measurement system may reduce the repeatability and accuracy of a measurement. Utilizing the probabilistic analysis, the random errors in the Mueller matrix measurements are quantified. A quantitative analysis on the instrument matrix has been carried out to assess the individual effects for different error sources. We proposed a general optimal instrument matrix which is capable of minimizing the estimation variance for both Gaussian additive noise and Poisson shot noise. Besides, a peak-matching algorithm is proposed to compress the repeatability errors due to the bias of the trigger signal and the limited sampling frequency. The effectiveness of the proposed methods is shown using both virtual simulations and experiments carried out on our self-developed instrument, which potentially paves a way to reduce the requirements on motor performance, acquisition card resolution, and trigger accuracy, which are critical to cost reduction.

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“…Some scholars have studied some other methods such as laser feedback [14], laser frequency splitting [15], and Mueller matrix ellipsometry [16,17]. The laser feedback method measures the phase retardation by inserting the MWP between the laser and a feedback mirror to gain a polarization jump, and analyzing the relationship between the measurement signals' phase difference and MWP's phase retardation at resonance state.…”

Section: Introductionmentioning

confidence: 99%

Simultaneous measurement of phase retardation and fast axis azimuth of wave plate based on equivalent component and phase detection

Chen¹,

Ding²,

Yu³

et al. 2022

Meas. Sci. Technol.

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Wave plates (WPs) are key components in optical polarization systems whose phase retardations and fast axis azimuths should be determined accurately. At present many measurement methods are based on light intensity detection which is inevitably affected by light intensity fluctuations so that the measurement accuracy is limited. What’s more, quite a few methods cannot measure WPs’ fast axis azimuths simultaneously. In this paper a method of simultaneously measuring the phase retardation and fast axis azimuth of arbitrary WP is proposed, which is based on equivalent component and phase detection. A rotatable half wave plate (HWP) and a retroreflector are used and its effect is equivalent to measuring an equivalent WP whose phase retardation is twice that of the measured wave plate, which is equivalent to doubling the measurement resolution. Phase detection is used to process the signals which means the measurement accuracy is better than that by usual light intensity detection. What’s more, the presented method eliminates the angle positioning errors of birefringent components in principle which exists in many present WP measurement methods. Finally, the measurement system setup is simple as well as the measurement process. The measurement formulae are deduced and corresponding WP measuring system is established. The error analysis shows that the system measurement uncertainty is about 3.9′ for the phase retardation and 5” for the fast axis azimuth. Experiment results and comparisons of quarter WPs and HWPs show that the presented method is in good agreement with other method. The phase retardation measurement repeatability is also good with a standard deviation about 2′.

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Comprehensive characterization of a general composite waveplate by spectroscopic Mueller matrix polarimetry

Cited by 26 publications

References 51 publications

Remote Attitude Sensing Based on High-Speed Mueller Matrix Ellipsometry

Remote Attitude Sensing Based on High-Speed Mueller Matrix Ellipsometry

Error Analysis for Repeatability Enhancement of a Dual-Rotation Mueller Matrix Ellipsometer

Simultaneous measurement of phase retardation and fast axis azimuth of wave plate based on equivalent component and phase detection

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