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General calibration method for phase retardation error of snapshot-type Mueller matrix ellipsometer

A technology of Mueller matrix and phase delay, which is applied in the field of general calibration of phase delay error of snapshot Mueller matrix ellipsometer, can solve problems such as difficulty in applying phase delay, inconsistency of actual conditions, and error of calibration results, etc., to achieve good results Effects of error calibration results, improvement of measurement accuracy, and exclusion of edge effects

Active Publication Date: 2021-02-19
HUAZHONG UNIV OF SCI & TECH
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  • Description
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  • Application Information

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Problems solved by technology

Matthieu Dubreuil et al. gave an approximate calibration method in the article "Systematic errors specific to snapshot Mueller matrix polarimeter", which approximates the phase delay error of the full measurement band to the error at the central wave number, and the phase delay error obtained by calibration As a fixed value that does not change with the wave number, there is still a large error in the calibration result, and it is not consistent with the actual situation; Hu Dai et al. proposed a method for the thickness ratio of 1:1:5 in the article "Theoretical research of retarder phase deviation channeled Mueller matrix spectropolarimeters". :5 calibration method, the calibration effect of this method is better, but this method has a certain delay due to the use of a low-pass filter, and it is difficult to apply to the calibration of the phase delay in other thickness ratio configurations

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  • General calibration method for phase retardation error of snapshot-type Mueller matrix ellipsometer
  • General calibration method for phase retardation error of snapshot-type Mueller matrix ellipsometer
  • General calibration method for phase retardation error of snapshot-type Mueller matrix ellipsometer

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Embodiment 1

[0055] Taking the measurement configuration with a phase retarder thickness ratio of 1:1:5:5 as an example, the phase retardation calibration method of the present invention is introduced, including the following steps:

[0056] S1. First establish the measurement model of the snapshot Mueller matrix ellipsometer: take the azimuth angle of the polarizer 201 as a reference, and set the azimuth angle α of the analyzer 208 2 =90°, phase retarder-203 azimuth angle θ 1 =45°, phase retarder two 204 azimuth angle θ 2 =0°, phase retarder three 206 azimuth angle θ 3 =0°, phase retarder four 207 azimuth angle θ 4 = 45°; for a measurement configuration with a thickness ratio of 1:1:5:5, there is d 1 = d 2 = 1, d 3 = d 4 = 5; then the model of the system can be expressed as:

[0057] S out =P 2 (90)R 4 (45,δ 4 )R 3 (0,δ 3 )MR 2 (0,δ 2 )R 1 (45,δ 1 )P 1 (0)S in (5)

[0058] Among them, S in with S out Respectively represent the Stokes vectors of the light emitted by ...

Embodiment 2

[0116] In order to further illustrate the versatility of the snapshot-type Mueller matrix ellipsometer phase delay error calibration method of the present invention, that is, it is applicable to any thickness ratio configuration that can solve the full Mueller matrix, another group of specific implementations is given here For example, a measurement configuration with a phase retarder thickness ratio of 1:4:2:9.

[0117] In view of the measurement configurations with different thickness ratios, the basic model of the measurement system and the basic process of phase delay calibration have not changed. Therefore, in this embodiment, the processing and calculation process of each step is not given in detail, and only the calculation process due to the thickness ratio is given. different selection results.

[0118] In step S1, its thickness ratio is changed to d 1 = 1, d 2 = 4, d 3 = 2,d 4 =9; the highest modulation frequency mo of the system is mo=1+4+2+9=16;

[0119] For t...

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Abstract

The invention belongs to the field of precision optical measurement instrument system parameter calibration, and particularly discloses a general calibration method for a phase retardation error of asnapshot-type Mueller matrix ellipsometer, which comprises the following steps of S1, building the snapshot-type Mueller matrix ellipsometer according to a preset phase retarder thickness ratio, measuring three groups of standard samples to obtain three groups of measurement spectra, S2, performing frequency domain analysis on the three groups of measurement spectra to obtain frequency domain signals, performing channel division processing on the frequency domain signals to obtain multi-order frequency channels, and selecting the frequency channels according to the thickness ratio of the phasedelayer, and S3, carrying out wave number domain analysis calculation on the selected frequency channels to obtain real frequency and imaginary frequency coefficients of the measurement spectrum trigonometric function expansion corresponding to each frequency channel, thereby obtaining a phase delay error of each phase delayer. The phase delay error in the full measurement spectrum of the snapshot-type Mueller matrix ellipsometer can be accurately calibrated, and the method is suitable for different phase delayer thickness ratios.

Description

technical field [0001] The invention belongs to the field of precision optical measuring instrument system parameter calibration, and more specifically relates to a general calibration method for the phase delay error of a snapshot-type Mueller matrix ellipsometer. Background technique [0002] Since the snapshot Mueller matrix ellipsometer was proposed by Matthieu Dubreuil et al. in the article "Snapshot Mueller matrix polarimeter by wavelength polarization coding", the snapshot Mueller matrix ellipsometer has received more and more attention. It has the advantages of short time and no interference from moving devices during the measurement process. A snapshot Mueller matrix ellipsometer usually consists of a light source, a polarizer, four phase retarders with a certain thickness ratio and azimuth angle, an analyzer, and a detector, such as figure 2 As shown in , the core device is four phase retarders, which realize the modulation of the Mueller matrix of the sample to b...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01N21/21G06F17/15G06F17/16
CPCG01N21/211G06F17/15G06F17/16
Inventor 陈修国王鹏张劲松石雅婷刘世元
Owner HUAZHONG UNIV OF SCI & TECH
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