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Optical trapping force and torque on a Rayleigh spheroidal particle by a non-diffracting optical needle

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Abstract

As a kind of non-diffracting beam, optical needle is gaining increased attention for its interesting properties and various potential applications. In this paper, we theoretically investigate the optical trapping force and torque on a Rayleigh spheroidal particle by an optical needle. A strategy to realize a non-diffracting optical needle by focusing a radially polarized vortex (RPV) beam with a high numerical aperture (NA) lens system is introduced and a diffractive optical element (DOE) is adopted to control the field distribution of the optical needle. Based on the field expressions of the optical needle derived through the Richards and Wolf theory, the factors affecting the properties of the optical needle are examined. Within the framework of dipole approximation, the optical trapping force and torque of an optical needle on a prolate spheroid with any spatial orientation are calculated. Numerical results show that the trapping force and torque are significantly affected by the field distribution of the optical needle, as well as the ellipticity and orientation of the spheroid. The present study may provide useful insights into the dynamic behavior during an actual optical trapping.

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References

  1. J. Wang, W. Chen, Q. Zhan, Opt. Express. 18, 21965 (2010)

    Article  ADS  Google Scholar 

  2. K. Hu, Z. Chen, J. Pu, Opt. Lett. 37, 3303 (2012)

    Article  ADS  Google Scholar 

  3. Z. Man, C. Min, L. Du, Y. Zhang, S. Zhu, X. Yuan, Opt. Express. 24, 874 (2016)

    Article  ADS  Google Scholar 

  4. H. Hu, Q. Gan, Q. Zhan, Phys. Rev. Lett. 122, 223901 (2019)

    Article  ADS  Google Scholar 

  5. L. Liu, L. Shi, F. Li, S. Yu, S. Wang, J. Du, M. Liu, B. Qi, W. Yan, IEEE Photonics J. 13, 1500912 (2021)

    Google Scholar 

  6. H. Dehez, A. April, M. Piche, Opt. Express. 20, 14891 (2012)

    Article  ADS  Google Scholar 

  7. T. Liu, J. Tan, J. Lin, J. Liu, Opt. Eng. 52, 074104 (2013)

    Article  ADS  Google Scholar 

  8. L. Tao, J. Tan, J. Liu, H. Wang, Opt. Lett. 38, 2742 (2013)

    Article  ADS  Google Scholar 

  9. T. Liu, Q. Liu, S. Yang, Z. Jiang, T. Wang, X. Yang, Opt. Comm. 393, 72 (2017)

    Article  ADS  Google Scholar 

  10. R. Grunwald, M. Bock, Adv. Phys. X 5, 1736950 (2020)

    Google Scholar 

  11. Q. Zhan, Opt. Express 12, 3377 (2004)

    Article  ADS  Google Scholar 

  12. V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, K. Dholakia, Nature 419, 145 (2002)

    Article  ADS  Google Scholar 

  13. Z. Bai, S. Zhang, Y. Lyu, R. Zhao, X. Yue, X. Ge, S. Fu, Z. Man, Opt. Comm. 473, 126045 (2020)

    Article  Google Scholar 

  14. H. Wang, G. Yuan, W. Tan, L. Shi, C.T. Chong, Opt. Eng. 46, 065201 (2007)

    Article  ADS  Google Scholar 

  15. Y. Zhang, J. Bai, Opt. Express 17, 3698 (2009)

    Article  ADS  Google Scholar 

  16. M. Gu, X. Li, Y. Cao, Light Sci. Appl. 3, e177 (2014)

    Article  ADS  Google Scholar 

  17. R. Leitgeb, M. Villiger, A. Bachmann, L. Steinmann, T. Lasser, Opt. Lett. 31, 2450 (2006)

    Article  ADS  Google Scholar 

  18. L. Liu, C. Liu, W.C. Howe, C. Sheppard, N. Chen, Opt. Lett. 32, 2375 (2007)

    Article  ADS  Google Scholar 

  19. C.J.R. Sheppard, A. Choudhury, Appl. Opt. 43, 4322 (2004)

    Article  ADS  Google Scholar 

  20. X. Li, Y. Cao, M. Gu, Opt. Lett. 36, 2510 (2011)

    Article  ADS  Google Scholar 

  21. M. Li, S. Yan, Y. Zhang, P. Zhang, B. Yao, J. Opt. Soc. Am. B 36, 2099 (2019)

    Article  ADS  Google Scholar 

  22. Y. Li, G. Rui, S. Zhou, B. Gu, Y. Yu, Y. Cui, Q. Zhan, Opt. Express 28, 27808 (2020)

    Article  ADS  Google Scholar 

  23. R. Dorn, S. Quabis, G. Leuchs, Phys. Rev. Lett. 91, 233901 (2003)

    Article  ADS  Google Scholar 

  24. B. Hao, J. Leger, Opt. Express 15, 3550 (2007)

    Article  ADS  Google Scholar 

  25. L. Yang, X. Xie, S. Wang, J. Zhou, Opt. Lett. 38, 1331 (2013)

    Article  ADS  Google Scholar 

  26. J. Lin, Y. Ma, P. Jin, G. Davies, J. Tan, Opt. Express 21, 13193 (2013)

    Article  ADS  Google Scholar 

  27. G.Y. Chen, F. Song, H.T. Wang, Opt. Lett. 38, 3937 (2013)

    Article  ADS  Google Scholar 

  28. Z. Nie, G. Shi, X. Zhang, W. Wang, Y. Song, Opt. Comm. 331, 87 (2014)

    Article  ADS  Google Scholar 

  29. J, Chen, Q. Xu, J. Appl. Phys. 124, 043103 (2018)

    Article  ADS  Google Scholar 

  30. R. Shi, Z. Wang, S.T. Hung, C. Hellmann, F. Wyrowski, Opt. Express 29, 2332 (2021)

    Article  ADS  Google Scholar 

  31. S. Yan, B. Yao, Phys. Rev. A 76, 053836 (2007)

    Article  ADS  Google Scholar 

  32. Y. Zhuang, Y. Zhang, B. Ding, T. Suyama, Opt. Comm. 284, 1734 (2011)

    Article  ADS  Google Scholar 

  33. J. Shu, Z. Chen, J. Pu, J. Opt. Soc. Am. A 30, 916 (2013)

    Article  ADS  Google Scholar 

  34. Z. Nie, G. Shi, D. Li, X. Zhang, Y. Wang, Y. Song, Phys, Lett, A 379, 857 (2015)

    Article  Google Scholar 

  35. M. Li, S. Yan, B. Yao, M. Lei, Y. Yang, J. Min, D. Dan, J. Opt. Soc. Am. B 32, 468 (2015)

    Article  ADS  Google Scholar 

  36. R. Zhang, Z. Chen, J. Pu, P.H. Jones, J. Opt. Soc. Am. A 32, 797 (2015)

    Article  ADS  Google Scholar 

  37. Z. Zhang, H.F. Xu, J. Qu, W. Huang, J. Mod. Opt. 62, 754 (2015)

    Article  ADS  Google Scholar 

  38. W. Cui, F. Song, F. Song, D. Ju, S. Liu, Opt. Express 24, 20062 (2016)

    Article  ADS  Google Scholar 

  39. Z. Liu, P.H. Jones, J. Opt. Soc. Am. A 33, 2501 (2016)

    Article  ADS  Google Scholar 

  40. C. Fan, Y. Liu, X. Wang, J. Opt. Soc. Am. A 35, 903 (2018)

    Article  ADS  Google Scholar 

  41. F.G. Mitri, J. Opt. Soc. Am. B 34, 899 (2017)

    Article  ADS  Google Scholar 

  42. F.G. Mitri, J. Quant. Spectrosc. Radiat. Transf. 196, 201 (2017)

    Article  ADS  Google Scholar 

  43. F.G. Mitri, J. Opt. Soc. Am. B 34, 2169 (2017)

    Article  ADS  Google Scholar 

  44. F.G. Mitri, J. Opt. Soc. Am. A 34, 1246 (2017)

    Article  ADS  Google Scholar 

  45. F.G. Mitri, Eur. Phys. J. D 72, 21 (2018)

    Article  ADS  Google Scholar 

  46. E. Wolf, Proc. R. Soc. London Ser. A 253, 349 (1959)

    Article  ADS  Google Scholar 

  47. M. Li, S. Yan, Y. Zhang, Y. Liang, P. Zhang, B. Yao, Phys. Rev. A 99, 033825 (2019)

    Article  ADS  Google Scholar 

  48. M. Li, S. Yan, B. Yao, Y. Liang, P. Zhang, Opt. Express 24, 20604 (2016)

    Article  ADS  Google Scholar 

  49. H. Wang, L. Shi, B. Lukyanchuk, B. Sheppard, C. Chong, C. Tow, Nat. Photonics 2, 501 (2008)

    Article  Google Scholar 

  50. P.C. Chaumet, M. Nieto-Vesperinas, Opt. Lett. 25, 1065 (2000)

    Article  ADS  Google Scholar 

  51. R. Li, R. Yang, C. Ding, F.G. Mitri, J. Quant. Spectrosc. Radiat. Transfer 191, 96 (2017)

    Article  ADS  Google Scholar 

  52. G. Rui, Y. Li, S. Zhou, Y. Wang, B. Gu, Y. Cui, Q. Zhan, Photonics Res. 7, 69 (2019)

    Article  Google Scholar 

  53. M. Li, S. Yan, B. Yao, Y. Liang, G. Han, P. Zhang, J. Opt. Soc. Am. A 33, 1341 (2016)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

This research was supported by the Natural Science Foundation of Shaanxi Province (2020JM-210), the Key Research and Development Projects of Shaanxi Province (2019GY-146), the Xi’an Municipal Science and Technology Project (201805 029Y D7CG13(4)), and the National Key Laboratory Foundation of China (6142411203109).

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Correspondence to Zhiwei Cui.

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Lei, Z., Cui, Z., Guo, S. et al. Optical trapping force and torque on a Rayleigh spheroidal particle by a non-diffracting optical needle. Appl. Phys. B 127, 146 (2021). https://doi.org/10.1007/s00340-021-07693-8

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