Skip to main content
Log in

Wave effects in double-plane lensing

  • Published:
Journal of Astrophysics and Astronomy Aims and scope Submit manuscript

Abstract

We discuss the wave optical effects in gravitational lens systems with two-point mass lenses in two different planes. We identify and vary parameters (i.e., lens masses, related distances and alignments) related to the lens system to investigate their effects on the amplification factor. We find that due to many parameters, it is not possible to make generalized statements regarding the amplification factor. The best approach for two-plane and multi-plane lensing is to study various possible lens systems case by case to explore the possibilities in the parameter space instead of hoping to generalize the results of a few test cases. We present a preliminary analysis of the parameter space for a two-lens system here.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Figure 1
Figure 2
Figure 3
Figure 4
Figure 5
Figure 6
Figure 7
Figure 8
Figure 9

Similar content being viewed by others

References

  • Abbott B. P., Abbott R., Abbott T. D., et al. 2019, Physical Review X, 9, 031040

  • Abbott R., Abbott T. D., Abraham S., et al. 2020, arXiv e-prints, arXiv:2010.14527

  • Asada H. 2003, Progress of Theoretical Physics, 110, 425

    Article  ADS  Google Scholar 

  • Baraldo C., Hosoya A., Nakamura T. T. 1999, Phys. Rev. D, 59, 083001

  • Bartelmann M. 2010, Classical and Quantum Gravity, 27, 233001

  • Bozza V., Pietroni S., Melchiorre C. 2020, Universe, 6, 106

  • Broadhurst T., Diego J. M., Smoot G. F. 2020, arXiv e-prints, arXiv:2006.13219

  • Broadhurst T., Diego J. M., Smoot G. F. 2018, arXiv e-prints, arXiv:1802.05273

  • Broadhurst T., Diego J. M., Smoot G. F. 2019, arXiv e-prints, arXiv:1901.03190

  • Christian P., Vitale S., Loeb A. 2018, Phys. Rev. D, 98, 103022

  • Diego J. M., Hannuksela O. A., Kelly P. L., et al. 2019, A&A, 627, A130

  • Erdl H., Schneider P. 1993, A&A, 268, 453

  • Feldbrugge J. 2020, arXiv e-prints, arXiv:2010.03089

  • Kneib J.-P., Natarajan P. 2011, A&A, 19, 47

  • Kochanek C. S., Apostolakis J. 1988, MNRAS, 235, 1073

  • Lepage G. P. 2020, arXiv e-prints, arXiv:2009.05112

  • Li S.-S., Mao S., Zhao Y., Lu Y. 2018, MNRAS, 476, 2220

  • Meena A. K., Bagla J. S. 2020, MNRAS, 492, 1127

  • Mishra A., Meena A. K., More A., Bose S., Singh Bagla J. 2021, arXiv e-prints, arXiv:2102.03946

  • Nakamura T. T., Deguchi S. 1999, Progress of Theoretical Physics Supplement, 133, 137

  • Ohanian H. C. 1974, International Journal of Theoretical Physics, 9, 425

  • Pejcha O., Heyrovský D. 2009, ApJ, 690, 1772

  • Peters P. C. 1974, Phys. Rev. D, 9, 2207

    Article  ADS  Google Scholar 

  • Schneider P., Ehlers J., Falco E. E. 1992, Gravitational Lenses, https://doi.org/10.1007/978-3-662-03758-4

  • Schneider P., Weiss A. 1986, A&A, 164, 237

  • Smith G. P., Berry C., Bianconi M., et al. 2018, IAU Symposium, 338, 98

  • Subramanian K., Chitre S. M. 1984, ApJ, 276, 440

  • Subramanian K., Rees M. J., Chitre S. M. 1987, MNRAS, 224, 283

  • Takahashi R., Nakamura T. 2003, ApJ, 595, 1039

  • Umetsu K. 2020, A&A, 28, 7

    Google Scholar 

  • Witt H. J., Petters A. O. 1993, Journal of Mathematical Physics, 34, 4093

  • Yamamoto K. 2003, arXiv e-prints, astro

Download references

Acknowledgments

RR would like to thank the Department of Science and Technology, Government of India for being awarded the INSPIRE scholarship. AKM would like to thank the Council of Scientific and Industrial Research (CSIR) India for financial support through a research fellowship No. 524007. AKM also acknowledges financial support from the Ministry of Science and Technology, Israel. The authors acknowledge the use of the IISER Mohali HPC facility. They also would like to thank Kandaswamy Subramanian for his valuable comments on the manuscript. The authors thank the anonymous referees for insightful comments and constructive suggestions that have helped improve the quality of this work. This research has made use of NASA’s Astrophysics Data System Bibliographic Services.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jasjeet Singh Bagla.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ramesh, R., Meena, A.K. & Bagla, J.S. Wave effects in double-plane lensing. J Astrophys Astron 43, 38 (2022). https://doi.org/10.1007/s12036-022-09821-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s12036-022-09821-y

Keywords

Navigation