Three-Airy beams and their autofocusing plane

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The position of the autofocusing plane of three-Airy beams is studied theoretically and experimentally depending on the shift parameter. It is shown that for different values of this parameter, the three-Airy beam may or may not have an autofocusing plane. If the beam has an autofocusing plane, then with increasing absolute value of the shift parameter, the autofocusing plane monotonically moves away from the initial plane.

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作者简介

D. Prokopova

Lebedev Physical Institute of the Samara Branch of the Russian Academy of Sciences

编辑信件的主要联系方式.
Email: prokopovadv@lebedev.ru
俄罗斯联邦, Samara

E. Abramochkin

Lebedev Physical Institute of the Samara Branch of the Russian Academy of Sciences

Email: prokopovadv@lebedev.ru
俄罗斯联邦, Samara

参考

  1. Nye J.F. Natural focusing and fine structure of light. Bristol: IOP, 1999. 328 p.
  2. Siviloglou G.A., Christodoulides D.N. // Opt. Lett. 2007. V. 32. No. 8. P. 979.
  3. Efremidis N.K., Chen Z., Segev M., Christodoulides D.N. // Optica. 2019. V. 6. No. 5. P. 686.
  4. Hu Y., Siviloglou G.A., Peng P. et al. // In: Springer Series in Optical Sciences: Nonlinear Photonics and Novel Optical Phenomena. Springer, 2012. P. 1.
  5. Zhang Y., Zhong H., Belić M.R. et al. // Appl. Sci. 2017. V. 7. No. 4. P. 341.
  6. Tитчмарш Э.Ч. Теория функций. М.: Наука, 1980. 463 c.
  7. Polynkin P., Kolesik M., Moloney J.V. et al. // Science. 2009. V. 324. P. 229.
  8. Polynkin P., Kolesik M., Moloney J. // Phys. Rev. Lett. 2009. V. 103. No. 12. Art. No. 123902.
  9. Vettenburg T., Dalgarno H., Nylk J. et al. // Nature Meth. 2014. V. 11. P. 541.
  10. Nylk J., McCluskey K., Aggarwal S. et al. // Biomed. Opt. Express. 2016. V. 7. No. 10. P. 4021.
  11. Nylk J., McCluskey K., Preciado M.A. et al. // Sci. Advances. 2018. V. 4. Art. No. eaar4817.
  12. Jia S., Vaughan J. C., Zhuang X. // Nature Photonics. 2014. V. 8. P. 302.
  13. Котова С.П., Лосевский Н.Н., Майорова А.М. и др. // Изв. РАН. Сер. физ. 2022. Т. 86. № 12. С. 1685; Kotova S.P., Losevsky N.N., Mayorova A.M. et al. // Bull. Russ. Acad. Sci. Phys. 2022. V. 86. No. 12. P. 1434.
  14. Baumgartl J., Mazilu M., Dholakia K. // Nature Photonics. 2008. V. 2. Р. 675.
  15. Suarez R.A.B., Neves A.A.R., Gesualdi M.R.R. // Opt. Laser Techn. 2021. V. 135. Art. No. 106678.
  16. Baumgartl J., Hannappel G.M., Stevenson D.J. et al. // Lab Chip. 2009. V. 9. P. 1334.
  17. Cheng H., Zang W., Zhou W., Tian J. // Opt. Express. 2010. V. 18. No. 19. P. 20384.
  18. Zhao J., Chremmos I., Song D. et al. // Sci. Reports. 2015. V. 5. Art. No. 12086.
  19. Zheng Z., Zhang B., Chen H. et al. // Appl. Opt. 2011. V. 50. No 1. P. 43.
  20. Mathis A., Courvoisier F., Froehly L. et al. // Appl. Phys. Lett. 2012. V. 101. No. 7. Art. No. 071110.
  21. Manousidaki M., Papazoglou D.G., Farsari M., Tzortzakis S. // Optica. 2016. V. 3. P. 525.
  22. Белоненко М.Б., Конобеева Н.Н. // Изв. РАН. Сер. физ. 2022. Т. 86. № 1. С. 63; Belonenko M.B., Konobeeva N.N. // Bull. Russ. Acad. Sci. Phys. 2022. V. 86. No. 1. P. 42.
  23. Двужилова Ю.В., Двужилов И.С., Челнынцев И.А. и др. // Изв. РАН. Сер. физ. 2022. Т. 86. № 6. С. 797; Dvuzhilova Y.V., Dvuzhilov I.S., Chelnyntsev I.A. et al. // Bull. Russ. Acad. Sci. Phys. 2022. V. 86. No. 6. P. 669.
  24. Брянцев Б.С., Калинович А.А., Захарова И.Г. // Изв. РАН. Сер. физ. 2021. Т. 85. № 1. С. 28; Bryantsev B.S., Kalinovich A.A., Zakharova I.G. // Bull. Russ. Acad. Sci. Phys. 2021. V. 85. No. 1. P. 669.
  25. Efremidis N.K., Christodoulides D.N. // Opt. Lett. 2010. V. 35. No. 23. P. 4045.
  26. Mansour D., Christodoulides D.N. // OSA Continuum. 2018. V. 1. No. 1. P. 104.
  27. Abramochkin E., Razueva E. // Opt. Lett. 2011. V. 36. No. 19. P. 3732.
  28. Liang Y., Ye Z., Song D. et al. // Opt. Express. 2013. V. 21. No. 2. P. 1615.
  29. Liang Y., Chen Y., Wan L. // Opt. Commun. 2017. V. 40. P. 120.
  30. Izdebskaya Y.V., Lu T.H., Neshev D.N., Desyatnikov A.S. // Appl. Opt. 2014. V. 53. No. 10. Art. No. B248.
  31. Прокопова Д.В., Абрамочкин Е.Г. // Изв. РАН. Сер. физ. 2023. Т. 87. № 12. С. 1688; Prokopova D.V., Abramochkin E.G. // Bull. Russ. Acad. Sci. Phys. 2023. V. 87. No. 12. P. 1773.
  32. Гудмен Дж.В. Введение в фурье-оптику. М.: Мир, 1970. 362 с.
  33. Афанасьев К.Н., Кишкин С.А. // Изв. Самар. научн. центра РАН. 2012. Т. 14. № 4. C. 184.

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2. Fig. 1. Left: intervals in θ for which there exists a solution φ(θ) of equation (15), right: caustics that are obtained from formulae (13) at Z = 2. The enlarged fragment of the centre section shows the presence of a caustic point, which is present only in the autofocus plane

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3. Fig. 2. Plot of the beam intensity dependence Ai3(x, y, a) on the z axis (i.e., at x = y = 0) during propagation in the Fresnel zone for the case when the bias parameter is a = 3-2/3a'100 = -28 966. The asymptotic formula (14) gives the value zs = 14.35; from the numerical experiment we obtain zs = 15.012

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4. Fig. 3. Schematic diagram of the experimental setup

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5. Fig. 4. Experimentally obtained intensity distributions of tri-Eiri beams with different values of the bias parameter at different distances expressed in units of focal length F = 500 mm. The frame side size is 1 mm for a‘1 × 3-2/3 = -0.489 and a1 × 3-2/3 = -1.124, and is 2 mm for a’3 × 3-2/3 = -2.317, a3 × 3-2/3 = -2.654, a'5 × 3-2/3 = -3.545, and a5 × 3-2/3 = -3.819

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