X. Zang, W. Dan, Y. Zhou, H. Lv, F. Wang, Y. Cai, and G. Zhou, “Abruptly autofocusing of generalized circular Airy derivative beams,” Opt. Express 30(3), 3804–3818 (2022).
[Crossref]

H. Wu, C. Jiang, A. Ren, T. Dong, and X. Cui, “Single-fiber optical tweezers for particle trapping and axial reciprocating motion using dual wavelength and dual mode,” Opt. Commun. 517, 128333 (2022).
[Crossref]

X. Zhang, L. Gong, G. Rui, J. He, Y. Cui, and B. Gu, “Effect of the thermal–optical nonlinearity on optical trapping Rayleigh particles,” Opt. Commun. 495, 127071 (2021).
[Crossref]

C. J. Bustamante, Y. R. Chemla, S. Liu, and M. D. Wang, “Optical tweezers in single-molecule biophysics,” Nat. Rev. Methods Primers 1(1), 25 (2021).
[Crossref]

H. Teng, Y. Qian, Y. Lan, and Y. Cai, “Abruptly autofocusing circular swallowtail beams,” Opt. Lett. 46(2), 270–273 (2021).
[Crossref]

R. Zhu, T. Avsievich, A. Popov, and I. Meglinski, “Optical tweezers in studies of red blood cells,” Cells 9(3), 545 (2020).
[Crossref]

K. Guo, J. Xie, G. Chen, Y. Wu, Y. Liang, S. Hong, F. Ye, J. Zhang, and D. Deng, “Abruptly autofocusing properties of the chirped circular Airy Gaussian vortex beams,” Opt. Commun. 477, 126369 (2020).
[Crossref]

X. Wu, Y. Peng, Y. Wu, H. Qiu, K. Chen, D. Deng, and X. Yang, “Nonparaxial propagation and the radiation forces of the chirped annular Bessel Gaussian beams,” Results Phys. 19, 103493 (2020).
[Crossref]

X. Chen, D. Deng, G. Wang, and X. Yang, “Abruptly autofocused and rotated circular chirp Pearcey Gaussian vortex beams,” Opt. Lett. 44(4), 955–958 (2019).
[Crossref]

G. Zhou, Y. Xu, and Y. Zhou, “Non-paraxial propagation of a circular Lorentz-Gauss vortex beam,” J. Opt. Soc. Am. A 36(7), 1221–1228 (2019).
[Crossref]

S. Zhang, J. Zhou, M. Zhong, and L. Gong, “Nonparaxial structured vectorial abruptly autofocusing beam,” Opt. Lett. 44(11), 2843–2846 (2019).
[Crossref]

Q. Jiang, Y. Su, Z. Ma, Y. Li, and W. Zheng, “Nonlinear manipulation of circular Airy beams,” Appl. Phys. B 125(6), 105 (2019).
[Crossref]

X. Chen, D. Deng, J. Zhuang, X. Yang, H. Liu, and G. Wang, “Nonparaxial propagation of Abruptly autofocusing circular Pearcey Gaussian beams,” Appl. Opt. 57(28), 8418–8422 (2018).
[Crossref]

J. Xie, J. Zhang, J. Ye, H. Liu, Z. Liang, S. Long, K. Zhou, and D. Deng, “Paraxial propagation of the first-order chirped Airy vortex beams in a chiral medium,” Opt. Express 26(5), 5845–5856 (2018).
[Crossref]

J. Zhang, Z. Pang, L. Feng, T. Zhong, L. Wang, and D. Deng, “Propagation properties of the chirped Airy vortex beams through left-handed and right-handed material slabs,” Chin. Opt. Lett. 15, 060501 (2017).
[Crossref]

A. Zannotti, F. Diebel, M. Boguslawski, and C. Denz, “Optical catastrophes of the swallowtail and butterfly beams,” New J. Phys. 19(5), 053004 (2017).
[Crossref]

Y. Jiang, X. Zhu, W. Yu, H. Shao, W. Zheng, and X. Lu, “Propagation characteristics of the modified circular Airy beam,” Opt. Express 23(23), 29834–29841 (2015).
[Crossref]

G. Zhou, R. Chen, and G. Ru, “Airyprime beams and their propagation characteristics,” Laser Phys. Lett. 12(2), 025003 (2014).
[Crossref]

J. D. Ring, J. Lindberg, A. Mourka, M. Mazilu, K. Dholakia, and M. R. Dennis, “Auto-focusing and self-healing of Pearcey beams,” Opt. Express 20(17), 18955–18966 (2012).
[Crossref]

B. Gu and Y. Cui, “Nonparaxial and paraxial focusing of azimuthal-variant vector beams,” Opt. Express 20(16), 17684–17694 (2012).
[Crossref]

D. G. Papazoglou, N. K. Efremidis, D. N. Christodoulides, and S. Tzortzakis, “Observation of abruptly autofocusing waves,” Opt. Lett. 36(10), 1842–1844 (2011).
[Crossref]

N. K. Efremidis and D. N. Christodoulides, “Abruptly autofocusing waves,” Opt. Lett. 35(23), 4045–4047 (2010).
[Crossref]

H. Cheng, W. Zang, W. Zhou, and J. Tian, “Analysis of optical trapping and propulsion of Rayleigh particles using Airy beam,” Opt. Express 18(19), 20384–20394 (2010).
[Crossref]

Z. Mei and D. Zhao, “Nonparaxial analysis of vectorial Laguerre-Bessel-Gaussian beams,” Opt. Express 15(19), 11942–11951 (2007).
[Crossref]

M. Guizar-Sicairos and J. C. Gutirrez-Vega, “Computation of quasi-discrete Hankel transforms of integer order for propagating optical wave fields,” J. Opt. Soc. Am. A 21(1), 53–58 (2004).
[Crossref]

L. Yu, M. Huang, M. Chen, W. Chen, W. Huang, and Z. Zhu, “Quasi-discrete Hankel transform,” Opt. Lett. 23(6), 409–411 (1998).
[Crossref]

R. Zhu, T. Avsievich, A. Popov, and I. Meglinski, “Optical tweezers in studies of red blood cells,” Cells 9(3), 545 (2020).
[Crossref]

A. Zannotti, F. Diebel, M. Boguslawski, and C. Denz, “Optical catastrophes of the swallowtail and butterfly beams,” New J. Phys. 19(5), 053004 (2017).
[Crossref]

C. J. Bustamante, Y. R. Chemla, S. Liu, and M. D. Wang, “Optical tweezers in single-molecule biophysics,” Nat. Rev. Methods Primers 1(1), 25 (2021).
[Crossref]

X. Zang, W. Dan, Y. Zhou, H. Lv, F. Wang, Y. Cai, and G. Zhou, “Abruptly autofocusing of generalized circular Airy derivative beams,” Opt. Express 30(3), 3804–3818 (2022).
[Crossref]

H. Teng, Y. Qian, Y. Lan, and Y. Cai, “Abruptly autofocusing circular swallowtail beams,” Opt. Lett. 46(2), 270–273 (2021).
[Crossref]

C. J. Bustamante, Y. R. Chemla, S. Liu, and M. D. Wang, “Optical tweezers in single-molecule biophysics,” Nat. Rev. Methods Primers 1(1), 25 (2021).
[Crossref]

K. Guo, J. Xie, G. Chen, Y. Wu, Y. Liang, S. Hong, F. Ye, J. Zhang, and D. Deng, “Abruptly autofocusing properties of the chirped circular Airy Gaussian vortex beams,” Opt. Commun. 477, 126369 (2020).
[Crossref]

X. Wu, Y. Peng, Y. Wu, H. Qiu, K. Chen, D. Deng, and X. Yang, “Nonparaxial propagation and the radiation forces of the chirped annular Bessel Gaussian beams,” Results Phys. 19, 103493 (2020).
[Crossref]

L. Yu, M. Huang, M. Chen, W. Chen, W. Huang, and Z. Zhu, “Quasi-discrete Hankel transform,” Opt. Lett. 23(6), 409–411 (1998).
[Crossref]

G. Zhou, R. Chen, and G. Ru, “Airyprime beams and their propagation characteristics,” Laser Phys. Lett. 12(2), 025003 (2014).
[Crossref]

L. Yu, M. Huang, M. Chen, W. Chen, W. Huang, and Z. Zhu, “Quasi-discrete Hankel transform,” Opt. Lett. 23(6), 409–411 (1998).
[Crossref]

X. Chen, D. Deng, G. Wang, and X. Yang, “Abruptly autofocused and rotated circular chirp Pearcey Gaussian vortex beams,” Opt. Lett. 44(4), 955–958 (2019).
[Crossref]

X. Chen, D. Deng, J. Zhuang, X. Yang, H. Liu, and G. Wang, “Nonparaxial propagation of Abruptly autofocusing circular Pearcey Gaussian beams,” Appl. Opt. 57(28), 8418–8422 (2018).
[Crossref]

H. Cheng, W. Zang, W. Zhou, and J. Tian, “Analysis of optical trapping and propulsion of Rayleigh particles using Airy beam,” Opt. Express 18(19), 20384–20394 (2010).
[Crossref]

D. G. Papazoglou, N. K. Efremidis, D. N. Christodoulides, and S. Tzortzakis, “Observation of abruptly autofocusing waves,” Opt. Lett. 36(10), 1842–1844 (2011).
[Crossref]

N. K. Efremidis and D. N. Christodoulides, “Abruptly autofocusing waves,” Opt. Lett. 35(23), 4045–4047 (2010).
[Crossref]

H. Wu, C. Jiang, A. Ren, T. Dong, and X. Cui, “Single-fiber optical tweezers for particle trapping and axial reciprocating motion using dual wavelength and dual mode,” Opt. Commun. 517, 128333 (2022).
[Crossref]

X. Zhang, L. Gong, G. Rui, J. He, Y. Cui, and B. Gu, “Effect of the thermal–optical nonlinearity on optical trapping Rayleigh particles,” Opt. Commun. 495, 127071 (2021).
[Crossref]

B. Gu and Y. Cui, “Nonparaxial and paraxial focusing of azimuthal-variant vector beams,” Opt. Express 20(16), 17684–17694 (2012).
[Crossref]

X. Zang, W. Dan, Y. Zhou, H. Lv, F. Wang, Y. Cai, and G. Zhou, “Abruptly autofocusing of generalized circular Airy derivative beams,” Opt. Express 30(3), 3804–3818 (2022).
[Crossref]

K. Guo, J. Xie, G. Chen, Y. Wu, Y. Liang, S. Hong, F. Ye, J. Zhang, and D. Deng, “Abruptly autofocusing properties of the chirped circular Airy Gaussian vortex beams,” Opt. Commun. 477, 126369 (2020).
[Crossref]

X. Wu, Y. Peng, Y. Wu, H. Qiu, K. Chen, D. Deng, and X. Yang, “Nonparaxial propagation and the radiation forces of the chirped annular Bessel Gaussian beams,” Results Phys. 19, 103493 (2020).
[Crossref]

X. Chen, D. Deng, G. Wang, and X. Yang, “Abruptly autofocused and rotated circular chirp Pearcey Gaussian vortex beams,” Opt. Lett. 44(4), 955–958 (2019).
[Crossref]

J. Xie, J. Zhang, J. Ye, H. Liu, Z. Liang, S. Long, K. Zhou, and D. Deng, “Paraxial propagation of the first-order chirped Airy vortex beams in a chiral medium,” Opt. Express 26(5), 5845–5856 (2018).
[Crossref]

X. Chen, D. Deng, J. Zhuang, X. Yang, H. Liu, and G. Wang, “Nonparaxial propagation of Abruptly autofocusing circular Pearcey Gaussian beams,” Appl. Opt. 57(28), 8418–8422 (2018).
[Crossref]

J. Zhang, Z. Pang, L. Feng, T. Zhong, L. Wang, and D. Deng, “Propagation properties of the chirped Airy vortex beams through left-handed and right-handed material slabs,” Chin. Opt. Lett. 15, 060501 (2017).
[Crossref]

J. D. Ring, J. Lindberg, A. Mourka, M. Mazilu, K. Dholakia, and M. R. Dennis, “Auto-focusing and self-healing of Pearcey beams,” Opt. Express 20(17), 18955–18966 (2012).
[Crossref]

A. Zannotti, F. Diebel, M. Boguslawski, and C. Denz, “Optical catastrophes of the swallowtail and butterfly beams,” New J. Phys. 19(5), 053004 (2017).
[Crossref]

J. D. Ring, J. Lindberg, A. Mourka, M. Mazilu, K. Dholakia, and M. R. Dennis, “Auto-focusing and self-healing of Pearcey beams,” Opt. Express 20(17), 18955–18966 (2012).
[Crossref]

A. Zannotti, F. Diebel, M. Boguslawski, and C. Denz, “Optical catastrophes of the swallowtail and butterfly beams,” New J. Phys. 19(5), 053004 (2017).
[Crossref]

H. Wu, C. Jiang, A. Ren, T. Dong, and X. Cui, “Single-fiber optical tweezers for particle trapping and axial reciprocating motion using dual wavelength and dual mode,” Opt. Commun. 517, 128333 (2022).
[Crossref]

D. G. Papazoglou, N. K. Efremidis, D. N. Christodoulides, and S. Tzortzakis, “Observation of abruptly autofocusing waves,” Opt. Lett. 36(10), 1842–1844 (2011).
[Crossref]

N. K. Efremidis and D. N. Christodoulides, “Abruptly autofocusing waves,” Opt. Lett. 35(23), 4045–4047 (2010).
[Crossref]

J. Zhang, Z. Pang, L. Feng, T. Zhong, L. Wang, and D. Deng, “Propagation properties of the chirped Airy vortex beams through left-handed and right-handed material slabs,” Chin. Opt. Lett. 15, 060501 (2017).
[Crossref]

X. Zhang, L. Gong, G. Rui, J. He, Y. Cui, and B. Gu, “Effect of the thermal–optical nonlinearity on optical trapping Rayleigh particles,” Opt. Commun. 495, 127071 (2021).
[Crossref]

S. Zhang, J. Zhou, M. Zhong, and L. Gong, “Nonparaxial structured vectorial abruptly autofocusing beam,” Opt. Lett. 44(11), 2843–2846 (2019).
[Crossref]

X. Zhang, L. Gong, G. Rui, J. He, Y. Cui, and B. Gu, “Effect of the thermal–optical nonlinearity on optical trapping Rayleigh particles,” Opt. Commun. 495, 127071 (2021).
[Crossref]

B. Gu and Y. Cui, “Nonparaxial and paraxial focusing of azimuthal-variant vector beams,” Opt. Express 20(16), 17684–17694 (2012).
[Crossref]

M. Guizar-Sicairos and J. C. Gutirrez-Vega, “Computation of quasi-discrete Hankel transforms of integer order for propagating optical wave fields,” J. Opt. Soc. Am. A 21(1), 53–58 (2004).
[Crossref]

K. Guo, J. Xie, G. Chen, Y. Wu, Y. Liang, S. Hong, F. Ye, J. Zhang, and D. Deng, “Abruptly autofocusing properties of the chirped circular Airy Gaussian vortex beams,” Opt. Commun. 477, 126369 (2020).
[Crossref]

M. Guizar-Sicairos and J. C. Gutirrez-Vega, “Computation of quasi-discrete Hankel transforms of integer order for propagating optical wave fields,” J. Opt. Soc. Am. A 21(1), 53–58 (2004).
[Crossref]

X. Zhang, L. Gong, G. Rui, J. He, Y. Cui, and B. Gu, “Effect of the thermal–optical nonlinearity on optical trapping Rayleigh particles,” Opt. Commun. 495, 127071 (2021).
[Crossref]

K. Guo, J. Xie, G. Chen, Y. Wu, Y. Liang, S. Hong, F. Ye, J. Zhang, and D. Deng, “Abruptly autofocusing properties of the chirped circular Airy Gaussian vortex beams,” Opt. Commun. 477, 126369 (2020).
[Crossref]

L. Yu, M. Huang, M. Chen, W. Chen, W. Huang, and Z. Zhu, “Quasi-discrete Hankel transform,” Opt. Lett. 23(6), 409–411 (1998).
[Crossref]

L. Yu, M. Huang, M. Chen, W. Chen, W. Huang, and Z. Zhu, “Quasi-discrete Hankel transform,” Opt. Lett. 23(6), 409–411 (1998).
[Crossref]

H. Wu, C. Jiang, A. Ren, T. Dong, and X. Cui, “Single-fiber optical tweezers for particle trapping and axial reciprocating motion using dual wavelength and dual mode,” Opt. Commun. 517, 128333 (2022).
[Crossref]

Q. Jiang, Y. Su, Z. Ma, Y. Li, and W. Zheng, “Nonlinear manipulation of circular Airy beams,” Appl. Phys. B 125(6), 105 (2019).
[Crossref]

Y. Jiang, X. Zhu, W. Yu, H. Shao, W. Zheng, and X. Lu, “Propagation characteristics of the modified circular Airy beam,” Opt. Express 23(23), 29834–29841 (2015).
[Crossref]

H. Teng, Y. Qian, Y. Lan, and Y. Cai, “Abruptly autofocusing circular swallowtail beams,” Opt. Lett. 46(2), 270–273 (2021).
[Crossref]

Q. Jiang, Y. Su, Z. Ma, Y. Li, and W. Zheng, “Nonlinear manipulation of circular Airy beams,” Appl. Phys. B 125(6), 105 (2019).
[Crossref]

K. Guo, J. Xie, G. Chen, Y. Wu, Y. Liang, S. Hong, F. Ye, J. Zhang, and D. Deng, “Abruptly autofocusing properties of the chirped circular Airy Gaussian vortex beams,” Opt. Commun. 477, 126369 (2020).
[Crossref]

J. Xie, J. Zhang, J. Ye, H. Liu, Z. Liang, S. Long, K. Zhou, and D. Deng, “Paraxial propagation of the first-order chirped Airy vortex beams in a chiral medium,” Opt. Express 26(5), 5845–5856 (2018).
[Crossref]

J. D. Ring, J. Lindberg, A. Mourka, M. Mazilu, K. Dholakia, and M. R. Dennis, “Auto-focusing and self-healing of Pearcey beams,” Opt. Express 20(17), 18955–18966 (2012).
[Crossref]

X. Chen, D. Deng, J. Zhuang, X. Yang, H. Liu, and G. Wang, “Nonparaxial propagation of Abruptly autofocusing circular Pearcey Gaussian beams,” Appl. Opt. 57(28), 8418–8422 (2018).
[Crossref]

J. Xie, J. Zhang, J. Ye, H. Liu, Z. Liang, S. Long, K. Zhou, and D. Deng, “Paraxial propagation of the first-order chirped Airy vortex beams in a chiral medium,” Opt. Express 26(5), 5845–5856 (2018).
[Crossref]

C. J. Bustamante, Y. R. Chemla, S. Liu, and M. D. Wang, “Optical tweezers in single-molecule biophysics,” Nat. Rev. Methods Primers 1(1), 25 (2021).
[Crossref]

J. Xie, J. Zhang, J. Ye, H. Liu, Z. Liang, S. Long, K. Zhou, and D. Deng, “Paraxial propagation of the first-order chirped Airy vortex beams in a chiral medium,” Opt. Express 26(5), 5845–5856 (2018).
[Crossref]

Y. Jiang, X. Zhu, W. Yu, H. Shao, W. Zheng, and X. Lu, “Propagation characteristics of the modified circular Airy beam,” Opt. Express 23(23), 29834–29841 (2015).
[Crossref]

X. Zang, W. Dan, Y. Zhou, H. Lv, F. Wang, Y. Cai, and G. Zhou, “Abruptly autofocusing of generalized circular Airy derivative beams,” Opt. Express 30(3), 3804–3818 (2022).
[Crossref]

Q. Jiang, Y. Su, Z. Ma, Y. Li, and W. Zheng, “Nonlinear manipulation of circular Airy beams,” Appl. Phys. B 125(6), 105 (2019).
[Crossref]

O. Vallée and S. Manuel, Airy Functions and Applications to Physics (Imperial College Press, 2010).

J. D. Ring, J. Lindberg, A. Mourka, M. Mazilu, K. Dholakia, and M. R. Dennis, “Auto-focusing and self-healing of Pearcey beams,” Opt. Express 20(17), 18955–18966 (2012).
[Crossref]

R. Zhu, T. Avsievich, A. Popov, and I. Meglinski, “Optical tweezers in studies of red blood cells,” Cells 9(3), 545 (2020).
[Crossref]

Z. Mei and D. Zhao, “Nonparaxial analysis of vectorial Laguerre-Bessel-Gaussian beams,” Opt. Express 15(19), 11942–11951 (2007).
[Crossref]

J. D. Ring, J. Lindberg, A. Mourka, M. Mazilu, K. Dholakia, and M. R. Dennis, “Auto-focusing and self-healing of Pearcey beams,” Opt. Express 20(17), 18955–18966 (2012).
[Crossref]

J. Zhang, Z. Pang, L. Feng, T. Zhong, L. Wang, and D. Deng, “Propagation properties of the chirped Airy vortex beams through left-handed and right-handed material slabs,” Chin. Opt. Lett. 15, 060501 (2017).
[Crossref]

D. G. Papazoglou, N. K. Efremidis, D. N. Christodoulides, and S. Tzortzakis, “Observation of abruptly autofocusing waves,” Opt. Lett. 36(10), 1842–1844 (2011).
[Crossref]

X. Wu, Y. Peng, Y. Wu, H. Qiu, K. Chen, D. Deng, and X. Yang, “Nonparaxial propagation and the radiation forces of the chirped annular Bessel Gaussian beams,” Results Phys. 19, 103493 (2020).
[Crossref]

R. Zhu, T. Avsievich, A. Popov, and I. Meglinski, “Optical tweezers in studies of red blood cells,” Cells 9(3), 545 (2020).
[Crossref]

H. Teng, Y. Qian, Y. Lan, and Y. Cai, “Abruptly autofocusing circular swallowtail beams,” Opt. Lett. 46(2), 270–273 (2021).
[Crossref]

X. Wu, Y. Peng, Y. Wu, H. Qiu, K. Chen, D. Deng, and X. Yang, “Nonparaxial propagation and the radiation forces of the chirped annular Bessel Gaussian beams,” Results Phys. 19, 103493 (2020).
[Crossref]

H. Wu, C. Jiang, A. Ren, T. Dong, and X. Cui, “Single-fiber optical tweezers for particle trapping and axial reciprocating motion using dual wavelength and dual mode,” Opt. Commun. 517, 128333 (2022).
[Crossref]

J. D. Ring, J. Lindberg, A. Mourka, M. Mazilu, K. Dholakia, and M. R. Dennis, “Auto-focusing and self-healing of Pearcey beams,” Opt. Express 20(17), 18955–18966 (2012).
[Crossref]

G. Zhou, R. Chen, and G. Ru, “Airyprime beams and their propagation characteristics,” Laser Phys. Lett. 12(2), 025003 (2014).
[Crossref]

X. Zhang, L. Gong, G. Rui, J. He, Y. Cui, and B. Gu, “Effect of the thermal–optical nonlinearity on optical trapping Rayleigh particles,” Opt. Commun. 495, 127071 (2021).
[Crossref]

Y. Jiang, X. Zhu, W. Yu, H. Shao, W. Zheng, and X. Lu, “Propagation characteristics of the modified circular Airy beam,” Opt. Express 23(23), 29834–29841 (2015).
[Crossref]

Q. Jiang, Y. Su, Z. Ma, Y. Li, and W. Zheng, “Nonlinear manipulation of circular Airy beams,” Appl. Phys. B 125(6), 105 (2019).
[Crossref]

H. Teng, Y. Qian, Y. Lan, and Y. Cai, “Abruptly autofocusing circular swallowtail beams,” Opt. Lett. 46(2), 270–273 (2021).
[Crossref]

H. Cheng, W. Zang, W. Zhou, and J. Tian, “Analysis of optical trapping and propulsion of Rayleigh particles using Airy beam,” Opt. Express 18(19), 20384–20394 (2010).
[Crossref]

D. G. Papazoglou, N. K. Efremidis, D. N. Christodoulides, and S. Tzortzakis, “Observation of abruptly autofocusing waves,” Opt. Lett. 36(10), 1842–1844 (2011).
[Crossref]

O. Vallée and S. Manuel, Airy Functions and Applications to Physics (Imperial College Press, 2010).

X. Zang, W. Dan, Y. Zhou, H. Lv, F. Wang, Y. Cai, and G. Zhou, “Abruptly autofocusing of generalized circular Airy derivative beams,” Opt. Express 30(3), 3804–3818 (2022).
[Crossref]

X. Chen, D. Deng, G. Wang, and X. Yang, “Abruptly autofocused and rotated circular chirp Pearcey Gaussian vortex beams,” Opt. Lett. 44(4), 955–958 (2019).
[Crossref]

X. Chen, D. Deng, J. Zhuang, X. Yang, H. Liu, and G. Wang, “Nonparaxial propagation of Abruptly autofocusing circular Pearcey Gaussian beams,” Appl. Opt. 57(28), 8418–8422 (2018).
[Crossref]

J. Zhang, Z. Pang, L. Feng, T. Zhong, L. Wang, and D. Deng, “Propagation properties of the chirped Airy vortex beams through left-handed and right-handed material slabs,” Chin. Opt. Lett. 15, 060501 (2017).
[Crossref]

C. J. Bustamante, Y. R. Chemla, S. Liu, and M. D. Wang, “Optical tweezers in single-molecule biophysics,” Nat. Rev. Methods Primers 1(1), 25 (2021).
[Crossref]

H. Wu, C. Jiang, A. Ren, T. Dong, and X. Cui, “Single-fiber optical tweezers for particle trapping and axial reciprocating motion using dual wavelength and dual mode,” Opt. Commun. 517, 128333 (2022).
[Crossref]

X. Wu, Y. Peng, Y. Wu, H. Qiu, K. Chen, D. Deng, and X. Yang, “Nonparaxial propagation and the radiation forces of the chirped annular Bessel Gaussian beams,” Results Phys. 19, 103493 (2020).
[Crossref]

X. Wu, Y. Peng, Y. Wu, H. Qiu, K. Chen, D. Deng, and X. Yang, “Nonparaxial propagation and the radiation forces of the chirped annular Bessel Gaussian beams,” Results Phys. 19, 103493 (2020).
[Crossref]

K. Guo, J. Xie, G. Chen, Y. Wu, Y. Liang, S. Hong, F. Ye, J. Zhang, and D. Deng, “Abruptly autofocusing properties of the chirped circular Airy Gaussian vortex beams,” Opt. Commun. 477, 126369 (2020).
[Crossref]

K. Guo, J. Xie, G. Chen, Y. Wu, Y. Liang, S. Hong, F. Ye, J. Zhang, and D. Deng, “Abruptly autofocusing properties of the chirped circular Airy Gaussian vortex beams,” Opt. Commun. 477, 126369 (2020).
[Crossref]

J. Xie, J. Zhang, J. Ye, H. Liu, Z. Liang, S. Long, K. Zhou, and D. Deng, “Paraxial propagation of the first-order chirped Airy vortex beams in a chiral medium,” Opt. Express 26(5), 5845–5856 (2018).
[Crossref]

G. Zhou, Y. Xu, and Y. Zhou, “Non-paraxial propagation of a circular Lorentz-Gauss vortex beam,” J. Opt. Soc. Am. A 36(7), 1221–1228 (2019).
[Crossref]

X. Wu, Y. Peng, Y. Wu, H. Qiu, K. Chen, D. Deng, and X. Yang, “Nonparaxial propagation and the radiation forces of the chirped annular Bessel Gaussian beams,” Results Phys. 19, 103493 (2020).
[Crossref]

X. Chen, D. Deng, G. Wang, and X. Yang, “Abruptly autofocused and rotated circular chirp Pearcey Gaussian vortex beams,” Opt. Lett. 44(4), 955–958 (2019).
[Crossref]

X. Chen, D. Deng, J. Zhuang, X. Yang, H. Liu, and G. Wang, “Nonparaxial propagation of Abruptly autofocusing circular Pearcey Gaussian beams,” Appl. Opt. 57(28), 8418–8422 (2018).
[Crossref]

K. Guo, J. Xie, G. Chen, Y. Wu, Y. Liang, S. Hong, F. Ye, J. Zhang, and D. Deng, “Abruptly autofocusing properties of the chirped circular Airy Gaussian vortex beams,” Opt. Commun. 477, 126369 (2020).
[Crossref]

J. Xie, J. Zhang, J. Ye, H. Liu, Z. Liang, S. Long, K. Zhou, and D. Deng, “Paraxial propagation of the first-order chirped Airy vortex beams in a chiral medium,” Opt. Express 26(5), 5845–5856 (2018).
[Crossref]

L. Yu, M. Huang, M. Chen, W. Chen, W. Huang, and Z. Zhu, “Quasi-discrete Hankel transform,” Opt. Lett. 23(6), 409–411 (1998).
[Crossref]

Y. Jiang, X. Zhu, W. Yu, H. Shao, W. Zheng, and X. Lu, “Propagation characteristics of the modified circular Airy beam,” Opt. Express 23(23), 29834–29841 (2015).
[Crossref]

H. Cheng, W. Zang, W. Zhou, and J. Tian, “Analysis of optical trapping and propulsion of Rayleigh particles using Airy beam,” Opt. Express 18(19), 20384–20394 (2010).
[Crossref]

X. Zang, W. Dan, Y. Zhou, H. Lv, F. Wang, Y. Cai, and G. Zhou, “Abruptly autofocusing of generalized circular Airy derivative beams,” Opt. Express 30(3), 3804–3818 (2022).
[Crossref]

A. Zannotti, F. Diebel, M. Boguslawski, and C. Denz, “Optical catastrophes of the swallowtail and butterfly beams,” New J. Phys. 19(5), 053004 (2017).
[Crossref]

K. Guo, J. Xie, G. Chen, Y. Wu, Y. Liang, S. Hong, F. Ye, J. Zhang, and D. Deng, “Abruptly autofocusing properties of the chirped circular Airy Gaussian vortex beams,” Opt. Commun. 477, 126369 (2020).
[Crossref]

J. Xie, J. Zhang, J. Ye, H. Liu, Z. Liang, S. Long, K. Zhou, and D. Deng, “Paraxial propagation of the first-order chirped Airy vortex beams in a chiral medium,” Opt. Express 26(5), 5845–5856 (2018).
[Crossref]

J. Zhang, Z. Pang, L. Feng, T. Zhong, L. Wang, and D. Deng, “Propagation properties of the chirped Airy vortex beams through left-handed and right-handed material slabs,” Chin. Opt. Lett. 15, 060501 (2017).
[Crossref]

S. Zhang, J. Zhou, M. Zhong, and L. Gong, “Nonparaxial structured vectorial abruptly autofocusing beam,” Opt. Lett. 44(11), 2843–2846 (2019).
[Crossref]

X. Zhang, L. Gong, G. Rui, J. He, Y. Cui, and B. Gu, “Effect of the thermal–optical nonlinearity on optical trapping Rayleigh particles,” Opt. Commun. 495, 127071 (2021).
[Crossref]

Z. Mei and D. Zhao, “Nonparaxial analysis of vectorial Laguerre-Bessel-Gaussian beams,” Opt. Express 15(19), 11942–11951 (2007).
[Crossref]

Q. Jiang, Y. Su, Z. Ma, Y. Li, and W. Zheng, “Nonlinear manipulation of circular Airy beams,” Appl. Phys. B 125(6), 105 (2019).
[Crossref]

Y. Jiang, X. Zhu, W. Yu, H. Shao, W. Zheng, and X. Lu, “Propagation characteristics of the modified circular Airy beam,” Opt. Express 23(23), 29834–29841 (2015).
[Crossref]

S. Zhang, J. Zhou, M. Zhong, and L. Gong, “Nonparaxial structured vectorial abruptly autofocusing beam,” Opt. Lett. 44(11), 2843–2846 (2019).
[Crossref]

J. Zhang, Z. Pang, L. Feng, T. Zhong, L. Wang, and D. Deng, “Propagation properties of the chirped Airy vortex beams through left-handed and right-handed material slabs,” Chin. Opt. Lett. 15, 060501 (2017).
[Crossref]

X. Zang, W. Dan, Y. Zhou, H. Lv, F. Wang, Y. Cai, and G. Zhou, “Abruptly autofocusing of generalized circular Airy derivative beams,” Opt. Express 30(3), 3804–3818 (2022).
[Crossref]

G. Zhou, Y. Xu, and Y. Zhou, “Non-paraxial propagation of a circular Lorentz-Gauss vortex beam,” J. Opt. Soc. Am. A 36(7), 1221–1228 (2019).
[Crossref]

G. Zhou, R. Chen, and G. Ru, “Airyprime beams and their propagation characteristics,” Laser Phys. Lett. 12(2), 025003 (2014).
[Crossref]

S. Zhang, J. Zhou, M. Zhong, and L. Gong, “Nonparaxial structured vectorial abruptly autofocusing beam,” Opt. Lett. 44(11), 2843–2846 (2019).
[Crossref]

J. Xie, J. Zhang, J. Ye, H. Liu, Z. Liang, S. Long, K. Zhou, and D. Deng, “Paraxial propagation of the first-order chirped Airy vortex beams in a chiral medium,” Opt. Express 26(5), 5845–5856 (2018).
[Crossref]

H. Cheng, W. Zang, W. Zhou, and J. Tian, “Analysis of optical trapping and propulsion of Rayleigh particles using Airy beam,” Opt. Express 18(19), 20384–20394 (2010).
[Crossref]

X. Zang, W. Dan, Y. Zhou, H. Lv, F. Wang, Y. Cai, and G. Zhou, “Abruptly autofocusing of generalized circular Airy derivative beams,” Opt. Express 30(3), 3804–3818 (2022).
[Crossref]

G. Zhou, Y. Xu, and Y. Zhou, “Non-paraxial propagation of a circular Lorentz-Gauss vortex beam,” J. Opt. Soc. Am. A 36(7), 1221–1228 (2019).
[Crossref]

R. Zhu, T. Avsievich, A. Popov, and I. Meglinski, “Optical tweezers in studies of red blood cells,” Cells 9(3), 545 (2020).
[Crossref]

Y. Jiang, X. Zhu, W. Yu, H. Shao, W. Zheng, and X. Lu, “Propagation characteristics of the modified circular Airy beam,” Opt. Express 23(23), 29834–29841 (2015).
[Crossref]

L. Yu, M. Huang, M. Chen, W. Chen, W. Huang, and Z. Zhu, “Quasi-discrete Hankel transform,” Opt. Lett. 23(6), 409–411 (1998).
[Crossref]

X. Chen, D. Deng, J. Zhuang, X. Yang, H. Liu, and G. Wang, “Nonparaxial propagation of Abruptly autofocusing circular Pearcey Gaussian beams,” Appl. Opt. 57(28), 8418–8422 (2018).
[Crossref]

X. Chen, D. Deng, J. Zhuang, X. Yang, H. Liu, and G. Wang, “Nonparaxial propagation of Abruptly autofocusing circular Pearcey Gaussian beams,” Appl. Opt. 57(28), 8418–8422 (2018).
[Crossref]

Q. Jiang, Y. Su, Z. Ma, Y. Li, and W. Zheng, “Nonlinear manipulation of circular Airy beams,” Appl. Phys. B 125(6), 105 (2019).
[Crossref]

R. Zhu, T. Avsievich, A. Popov, and I. Meglinski, “Optical tweezers in studies of red blood cells,” Cells 9(3), 545 (2020).
[Crossref]

J. Zhang, Z. Pang, L. Feng, T. Zhong, L. Wang, and D. Deng, “Propagation properties of the chirped Airy vortex beams through left-handed and right-handed material slabs,” Chin. Opt. Lett. 15, 060501 (2017).
[Crossref]

M. Guizar-Sicairos and J. C. Gutirrez-Vega, “Computation of quasi-discrete Hankel transforms of integer order for propagating optical wave fields,” J. Opt. Soc. Am. A 21(1), 53–58 (2004).
[Crossref]

G. Zhou, Y. Xu, and Y. Zhou, “Non-paraxial propagation of a circular Lorentz-Gauss vortex beam,” J. Opt. Soc. Am. A 36(7), 1221–1228 (2019).
[Crossref]

G. Zhou, R. Chen, and G. Ru, “Airyprime beams and their propagation characteristics,” Laser Phys. Lett. 12(2), 025003 (2014).
[Crossref]

C. J. Bustamante, Y. R. Chemla, S. Liu, and M. D. Wang, “Optical tweezers in single-molecule biophysics,” Nat. Rev. Methods Primers 1(1), 25 (2021).
[Crossref]

A. Zannotti, F. Diebel, M. Boguslawski, and C. Denz, “Optical catastrophes of the swallowtail and butterfly beams,” New J. Phys. 19(5), 053004 (2017).
[Crossref]

H. Wu, C. Jiang, A. Ren, T. Dong, and X. Cui, “Single-fiber optical tweezers for particle trapping and axial reciprocating motion using dual wavelength and dual mode,” Opt. Commun. 517, 128333 (2022).
[Crossref]

X. Zhang, L. Gong, G. Rui, J. He, Y. Cui, and B. Gu, “Effect of the thermal–optical nonlinearity on optical trapping Rayleigh particles,” Opt. Commun. 495, 127071 (2021).
[Crossref]

K. Guo, J. Xie, G. Chen, Y. Wu, Y. Liang, S. Hong, F. Ye, J. Zhang, and D. Deng, “Abruptly autofocusing properties of the chirped circular Airy Gaussian vortex beams,” Opt. Commun. 477, 126369 (2020).
[Crossref]

J. Xie, J. Zhang, J. Ye, H. Liu, Z. Liang, S. Long, K. Zhou, and D. Deng, “Paraxial propagation of the first-order chirped Airy vortex beams in a chiral medium,” Opt. Express 26(5), 5845–5856 (2018).
[Crossref]

H. Cheng, W. Zang, W. Zhou, and J. Tian, “Analysis of optical trapping and propulsion of Rayleigh particles using Airy beam,” Opt. Express 18(19), 20384–20394 (2010).
[Crossref]

X. Zang, W. Dan, Y. Zhou, H. Lv, F. Wang, Y. Cai, and G. Zhou, “Abruptly autofocusing of generalized circular Airy derivative beams,” Opt. Express 30(3), 3804–3818 (2022).
[Crossref]

B. Gu and Y. Cui, “Nonparaxial and paraxial focusing of azimuthal-variant vector beams,” Opt. Express 20(16), 17684–17694 (2012).
[Crossref]

Z. Mei and D. Zhao, “Nonparaxial analysis of vectorial Laguerre-Bessel-Gaussian beams,” Opt. Express 15(19), 11942–11951 (2007).
[Crossref]

Y. Jiang, X. Zhu, W. Yu, H. Shao, W. Zheng, and X. Lu, “Propagation characteristics of the modified circular Airy beam,” Opt. Express 23(23), 29834–29841 (2015).
[Crossref]

J. D. Ring, J. Lindberg, A. Mourka, M. Mazilu, K. Dholakia, and M. R. Dennis, “Auto-focusing and self-healing of Pearcey beams,” Opt. Express 20(17), 18955–18966 (2012).
[Crossref]

N. K. Efremidis and D. N. Christodoulides, “Abruptly autofocusing waves,” Opt. Lett. 35(23), 4045–4047 (2010).
[Crossref]

D. G. Papazoglou, N. K. Efremidis, D. N. Christodoulides, and S. Tzortzakis, “Observation of abruptly autofocusing waves,” Opt. Lett. 36(10), 1842–1844 (2011).
[Crossref]

H. Teng, Y. Qian, Y. Lan, and Y. Cai, “Abruptly autofocusing circular swallowtail beams,” Opt. Lett. 46(2), 270–273 (2021).
[Crossref]

S. Zhang, J. Zhou, M. Zhong, and L. Gong, “Nonparaxial structured vectorial abruptly autofocusing beam,” Opt. Lett. 44(11), 2843–2846 (2019).
[Crossref]

X. Chen, D. Deng, G. Wang, and X. Yang, “Abruptly autofocused and rotated circular chirp Pearcey Gaussian vortex beams,” Opt. Lett. 44(4), 955–958 (2019).
[Crossref]

L. Yu, M. Huang, M. Chen, W. Chen, W. Huang, and Z. Zhu, “Quasi-discrete Hankel transform,” Opt. Lett. 23(6), 409–411 (1998).
[Crossref]

X. Wu, Y. Peng, Y. Wu, H. Qiu, K. Chen, D. Deng, and X. Yang, “Nonparaxial propagation and the radiation forces of the chirped annular Bessel Gaussian beams,” Results Phys. 19, 103493 (2020).
[Crossref]

O. Vallée and S. Manuel, Airy Functions and Applications to Physics (Imperial College Press, 2010).