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Wave effect of gravitational waves intersected with a microlens field: A new algorithm and supplementary study

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Abstract

The increase in gravitational wave (GW) events has allowed receiving strong lensing image pairs of GWs. However, the wave effect (diffraction and interference) due to the microlens field contaminates the parameter estimation of the image pair, which may lead to a misjudgment of strong lensing signals. To quantify the influence of the microlens field, researchers need a large sample of statistical research. Nevertheless, due to the oscillation characteristic, the Fresnel-Kirchhoff diffraction integral’s computational time hinders this aspect’s study. Although many algorithms are available, most cannot be well applied to the case where the microlens field is embedded in galaxy/galaxy clusters. This work proposes a faster and more accurate algorithm for studying the wave optics effect of microlenses embedded in different types of strong lensing images. Additionally, we provide a quantitative estimation criterion for the lens plane boundary for the Fresnel-Kirchhoff diffraction integral. This algorithm can significantly facilitate the study of wave optics, particularly in the case of microlens fields embedded in galaxy/galaxy clusters.

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Author information

Authors and Affiliations

  1. Department of Astronomy, Beijing Normal University, Beijing, 100875, China

    Xikai Shan

  2. Purple Mountain Observatory, Chinese Academy of Sciences, Nanjing, 210023, China

    Guoliang Li, Xuechun Chen & Wenwen Zheng

  3. School of Astronomy and Space Science, University of Science and Technology of China, Hefei, 230026, China

    Xuechun Chen, Wenwen Zheng & Wen Zhao

  4. CAS Key Laboratory for Researches in Galaxies and Cosmology, Department of Astronomy, University of Science and Technology of China, Chinese Academy of Sciences, Hefei, 230026, China

    Wen Zhao

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  1. Xikai Shan
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  2. Guoliang Li
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  3. Xuechun Chen
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  4. Wenwen Zheng
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  5. Wen Zhao
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Corresponding author

Correspondence to Guoliang Li.

Additional information

This work was supported by the National Natural Science Foundation of China (Grant Nos. U1931210, 11673065, and 11273061), the Science Research Grants from the China Manned Space Project (Grant No. CMS-CSST-2021-A11), the Sugon Advanced Computing Service Platform for Computing Support, the Cosmology Simulation Database (CSD) in the National Basic Science Data Center (NBSDC) and its funds the NBSDC-DB-10 (Grant No. 2020000088). Wen Zhao was supported by the National Key R&D Program of China (Grant No. 2021YFC2203100), the National Natural Science Foundation of China (Grant Nos. 11903030, and 11903033), and the Fundamental Research Funds for the Central Universities (Grant Nos. WK2030000036, and WK3440000004).

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Shan, X., Li, G., Chen, X. et al. Wave effect of gravitational waves intersected with a microlens field: A new algorithm and supplementary study. Sci. China Phys. Mech. Astron. 66, 239511 (2023). https://doi.org/10.1007/s11433-022-1985-3

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  • DOI: https://doi.org/10.1007/s11433-022-1985-3

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