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Method Comparison for Simulating Non-Gaussian Beams and Diffraction for Precision Interferometry

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Τίτλος: Method Comparison for Simulating Non-Gaussian Beams and Diffraction for Precision Interferometry
Συγγραφείς: Zhao, Mengyuan, Tao, Yazheng, Weber, Kevin, Kaune, Tim, Schuster, Sönke, Hao, Zhenxiang, Wanner, Gudrun
Πηγή: Sensors 23 (2023), Nr. 22 ; Sensors
Στοιχεία εκδότη: MDPI
Έτος έκδοσης: 2023
Συλλογή: Institutional Repository of Leibniz Universität Hannover
Θεματικοί όροι: diffraction, optical simulation, space interferometry, ddc:620
Περιγραφή: In the context of simulating precision laser interferometers, we use several examples to compare two wavefront decomposition methods—the Mode Expansion Method (MEM) and the Gaussian Beam Decomposition (GBD) method—for their precision and applicability. To assess the performance of these methods, we define different types of errors and study their properties. We specify how the two methods can be fairly compared and based on that, compare the quality of the MEM and GBD through several examples. Here, we test cases for which analytic results are available, i.e., non-clipped circular and general astigmatic Gaussian beams, as well as clipped circular Gaussian beams, in the near, far, and extremely far fields of millions of kilometers occurring in space-gravitational wave detectors. Additionally, we compare the methods for aberrated wavefronts and their interaction with optical components by testing reflections from differently curved mirrors. We find that both methods can generally be used for decomposing non-Gaussian beams. However, which method is more accurate depends on the optical system and simulation settings. In the given examples, the MEM more accurately describes non-clipped Gaussian beams, whereas for clipped Gaussian beams and the interaction with surfaces, the GBD is more precise.
Τύπος εγγράφου: article in journal/newspaper
Γλώσσα: English
Relation: ESSN:1424-8220; http://dx.doi.org/10.15488/16944
DOI: 10.15488/16944
Διαθεσιμότητα: https://www.repo.uni-hannover.de/handle/123456789/17071
https://doi.org/10.15488/16944
Rights: CC BY 4.0 Unported ; https://creativecommons.org/licenses/by/4.0 ; frei zugänglich
Αριθμός Καταχώρησης: edsbas.3DF94698
Βάση Δεδομένων: BASE
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  – Url: https://www.repo.uni-hannover.de/handle/123456789/17071#
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Items – Name: Title
  Label: Title
  Group: Ti
  Data: Method Comparison for Simulating Non-Gaussian Beams and Diffraction for Precision Interferometry
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  Data: <searchLink fieldCode="AR" term="%22Zhao%2C+Mengyuan%22">Zhao, Mengyuan</searchLink><br /><searchLink fieldCode="AR" term="%22Tao%2C+Yazheng%22">Tao, Yazheng</searchLink><br /><searchLink fieldCode="AR" term="%22Weber%2C+Kevin%22">Weber, Kevin</searchLink><br /><searchLink fieldCode="AR" term="%22Kaune%2C+Tim%22">Kaune, Tim</searchLink><br /><searchLink fieldCode="AR" term="%22Schuster%2C+Sönke%22">Schuster, Sönke</searchLink><br /><searchLink fieldCode="AR" term="%22Hao%2C+Zhenxiang%22">Hao, Zhenxiang</searchLink><br /><searchLink fieldCode="AR" term="%22Wanner%2C+Gudrun%22">Wanner, Gudrun</searchLink>
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  Label: Source
  Group: Src
  Data: Sensors 23 (2023), Nr. 22 ; Sensors
– Name: Publisher
  Label: Publisher Information
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  Data: MDPI
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  Label: Publication Year
  Group: Date
  Data: 2023
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  Data: Institutional Repository of Leibniz Universität Hannover
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  Data: <searchLink fieldCode="DE" term="%22diffraction%22">diffraction</searchLink><br /><searchLink fieldCode="DE" term="%22optical+simulation%22">optical simulation</searchLink><br /><searchLink fieldCode="DE" term="%22space+interferometry%22">space interferometry</searchLink><br /><searchLink fieldCode="DE" term="%22ddc%3A620%22">ddc:620</searchLink>
– Name: Abstract
  Label: Description
  Group: Ab
  Data: In the context of simulating precision laser interferometers, we use several examples to compare two wavefront decomposition methods—the Mode Expansion Method (MEM) and the Gaussian Beam Decomposition (GBD) method—for their precision and applicability. To assess the performance of these methods, we define different types of errors and study their properties. We specify how the two methods can be fairly compared and based on that, compare the quality of the MEM and GBD through several examples. Here, we test cases for which analytic results are available, i.e., non-clipped circular and general astigmatic Gaussian beams, as well as clipped circular Gaussian beams, in the near, far, and extremely far fields of millions of kilometers occurring in space-gravitational wave detectors. Additionally, we compare the methods for aberrated wavefronts and their interaction with optical components by testing reflections from differently curved mirrors. We find that both methods can generally be used for decomposing non-Gaussian beams. However, which method is more accurate depends on the optical system and simulation settings. In the given examples, the MEM more accurately describes non-clipped Gaussian beams, whereas for clipped Gaussian beams and the interaction with surfaces, the GBD is more precise.
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  Data: ESSN:1424-8220; http://dx.doi.org/10.15488/16944
– Name: DOI
  Label: DOI
  Group: ID
  Data: 10.15488/16944
– Name: URL
  Label: Availability
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  Data: https://www.repo.uni-hannover.de/handle/123456789/17071<br />https://doi.org/10.15488/16944
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  Data: CC BY 4.0 Unported ; https://creativecommons.org/licenses/by/4.0 ; frei zugänglich
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