IOE OpenIR  > 光电技术研究所被WoS收录文章
Influence of pupil on the laser beam shaping system by pure phase modulation
He Jie-Ling1,2,3; Wei Ling1,2; Yang Jin-Sheng1,2; Li Xi-Qi1,2; He Yi1,2; Zhang Yu-Dong1,2
Source PublicationACTA PHYSICA SINICA
Volume65Issue:4
2016-02-20
Language英语
ISSN1000-3290
DOI10.7498/aps.65.048701
Indexed BySCI
WOS IDWOS:000371401000043
SubtypeArticle
AbstractIn this paper, we propose a quantitative approach to analyze the influence of pupil truncation on the phase-only modulation laser beam shaping system, based on the near-field phase and the far-field metric functions. First, the relationship between near-field phase and pupil radius is studied by Lagrange multiplier method. Result indicates that both the peak-to-valley and the root-mean-square of the near-field phase increase approximately linearly with the pupil radius. Second, the influence of pupil radius on a beam shaping system is investigated. To quantify the performance of the beam shaping system, the correlation coefficient (C) and the mean square difference (MSD)are introduced as the metric functions. Then, by comparing the metric functions at different pupil radius, it is shown that the pupil radius influences the performance of focal beam shaping distinctly at the lower pupil radius, whereas the influence trails off, and both the C and the MSD get close to the theoretical limit as the pupil radius continuously increases. Third, the mathematical models of the C and the MSD are proposed to reveal the relationship among the metric functions, pupil radius and target intensity's size, as it is difficult to obtain the explicit expressions on the basis of metric functions' definition. And the three coefficients in each model are ascertained by surface fitting method based on the sampling data. In addition, SSE (sum of square due to error), RMSE (root mean square error) and R-square (coefficient of determination) are adopted to determine the fitting precision. For both the metric functions, the precision of SSE and RMSE can reach 10 2 and the R-square is shown to be more than 97%. The SSE, RMSE and R-square verify the proposed mathematical models. Finally, according to the models, we analyze when the influence of pupil truncation becomes negligible for the rectangle or circle target intensity. In practice, the size of target intensity is determined first. Sequentially, by combining the mathematical models and their first-order partial differentials, the changing regularity of metric functions with respect to pupil radius is studied. Meanwhile, the regularity helps us to find the beginning points for rectangle target and circle target intensities respectively. For the rectangle target intensity, when the pupil radius is 2.5 times that of the Gaussian waist radius, the metric functions become stable. The C with a value of 0.997 and the MSD with a value of 4 x 10(4) are both close to the theoretical limit. In the meantime, the influence of pupil truncation tends to be minimal as expected. For circle target intensity, when the pupil radius is 3 times that of the Gaussian waist radius, the first-order partial differentials of the C and the MSD decrease to about 10(3). This means that the metric functions begin to converge and that the influence of pupil truncation tends to be minimal at this point. Consequently, it is effective and meaningful to determine the best pupil radius using the proposed models in the article when designing a beam shaping system. Moreover, the models can also be used to evaluate the performance of a laser beam shaping system.
KeywordLaser Beam Shaping Metric Functions Fitting Formula Pupil Radius
WOS KeywordDESIGN ; PROFILE
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
Citation statistics
Document Type期刊论文
Identifierhttp://ir.ioe.ac.cn/handle/181551/3851
Collection光电技术研究所被WoS收录文章
Affiliation1.Chinese Acad Sci, Key Lab Adapt Opt, Chengdu 610209, Peoples R China
2.Chinese Acad Sci, Inst Opt Elect, Chengdu 610209, Peoples R China
3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
He Jie-Ling,Wei Ling,Yang Jin-Sheng,et al. Influence of pupil on the laser beam shaping system by pure phase modulation[J]. ACTA PHYSICA SINICA,2016,65(4).
APA He Jie-Ling,Wei Ling,Yang Jin-Sheng,Li Xi-Qi,He Yi,&Zhang Yu-Dong.(2016).Influence of pupil on the laser beam shaping system by pure phase modulation.ACTA PHYSICA SINICA,65(4).
MLA He Jie-Ling,et al."Influence of pupil on the laser beam shaping system by pure phase modulation".ACTA PHYSICA SINICA 65.4(2016).
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[He Jie-Ling]'s Articles
[Wei Ling]'s Articles
[Yang Jin-Sheng]'s Articles
Baidu academic
Similar articles in Baidu academic
[He Jie-Ling]'s Articles
[Wei Ling]'s Articles
[Yang Jin-Sheng]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[He Jie-Ling]'s Articles
[Wei Ling]'s Articles
[Yang Jin-Sheng]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.