Lajunen, H., Vahimaa, P., Tervo, J.: Theory of spatially and spectrally partially coherent pulses. J. Opt. Soc. Am. A 22(8), 1536–1545 (2005)

Article  ADS  MathSciNet  Google Scholar 

Hyde, M.W., IV.: Spatiotemporal non-uniformly correlated beams. Appl. Phys. B 127, 164 (2021)

Article  ADS  Google Scholar 

Hyde, M.W., IV., Spencer, M.F.: Spatiotemporal optical vortices in atmospheric turbulence. Wave Random Complex (2023). https://doi.org/10.1080/17455030.2023.2266053

Article  Google Scholar 

Vaughan, J.C., Feurer, T., Nelson, K.A.: Automated spatiotemporal diffraction of ultrashort laser pulses. Opt. Lett. 28(23), 2408–2410 (2003)

Article  ADS  Google Scholar 

Vaughan, J.C., Hornung, T., Feurer, T., Nelson, K.A.: Diffraction-based femtosecond pulse shaping with a two-dimensional spatial light modulator. Opt. Lett. 30(3), 323–325 (2005)

Article  ADS  Google Scholar 

Kondakci, H.E., Abouraddy, A.F.: Diffraction-free pulsed optical beams via space-time correlations. Opt. Express 24(25), 28659–28668 (2016)

Article  ADS  Google Scholar 

Yessenov, M., Bhaduri, B., Abouraddy, A.F.: Refraction of space-time wave packets: I. Theoretical principles. J. Opt. Soc. Am. A 38(10), 1409–1422 (2021)

Article  ADS  Google Scholar 

Chong, A., Wan, C.H., Chen, J., Zhan, Q.W.: Generation of spatiotemporal optical vortices with controllable transverse orbital angular momentum. Nat. Photonics 14, 350–354 (2020)

Article  ADS  Google Scholar 

Bliokh, K.Y., Nori, F.: Spatiotemporal vortex beams and angular momentum. Phys. Rev. A 86, 033824 (2012)

Article  ADS  Google Scholar 

Wan, C.H., Chong, A., Zhan, Q.W.: Spatiotemporal optical vortices. eLight 3, 11 (2023)

Article  Google Scholar 

Hancock, S.W., Zahedpour, S., Goffin, A., Milchberg, H.M.: Free-space propagation of spatiotemporal optical vortices. Optica 6(12), 1547 (2019)

Article  ADS  Google Scholar 

Hancock, S.W., Zahedpour, S., Milchberg, H.M.: Mode structure and orbital angular momentum of spatiotemporal optical vortex pulses. Phys. Rev. Lett. 127(19), 193901 (2021)

Article  ADS  Google Scholar 

Hyde, M.W., IV.: Twisted space-frequency and space-time partially coherent beams. Sci. Rep. 10(1), 12443 (2020)

Article  ADS  Google Scholar 

Hyde, M.W., IV.: Twisted spatiotemporal optical vortex random fields. IEEE Photonics J. 13(2), 6500116 (2021)

Article  Google Scholar 

Sahin, S., Korotkova, O.: Light sources generating far fields with tunable flat profiles. Opt. Lett. 37(14), 2970–2972 (2012)

Article  ADS  Google Scholar 

Ping, C.C., Liang, C.H., Wang, F., Cai, Y.J.: Radially polarized multi-Gaussian Schell-model beam and its tight focusing properties. Opt. Express 25(26), 32475–32490 (2017)

Article  ADS  Google Scholar 

Mei, Z.R., Korotkova, O., Shchepakina, E.: Electromagnetic multi-Gaussian Schell-model beams. J. Opt. 15, 025705 (2013)

Article  ADS  Google Scholar 

Mei, Z.R., Korotkova, O.: Random sources generating ring-shaped beams. Opt. Lett. 38(2), 91–93 (2013)

Article  ADS  Google Scholar 

Wang, F., Liu, X., Yuan, Y., Cai, Y.J.: Experimental generation of partially coherent beams with different complex degrees of coherence. Opt. Lett. 38(11), 1814–1816 (2013)

Article  ADS  Google Scholar 

Zhu, S.J., Chen, Y.H., Wang, J., Wang, H.Y., Li, Z.H., Cai, Y.J.: Generation and propagation of a vector cosine-Gaussian correlated beam with radial polarization. Opt. Express 23(26), 33099–33115 (2015)

Article  ADS  Google Scholar 

Zhang, J.P., Wang, J., Huang, H.K., Wang, H.Y., Zhu, S.J., Li, Z.H., Lu, J.: Propagation characteristics of a twisted cosine-Gaussian correlated radially polarized beam. Appl. Sci. 8(9), 1485 (2018)

Article  Google Scholar 

Xu, Z.H., Liu, X.L., Chen, Y.H., Wang, F., Liu, L., Monfared, Y.E., Ponomarenko, S.A., Cai, Y.J., Liang, C.H.: Self-healing properties of Hermite-Gaussian correlated Schell-model beams. Opt. Express 28(3), 2828–2837 (2020)

Article  ADS  Google Scholar 

Zhou, Y.Q., Wu, G.F., Cai, Y.J., Wang, F., Hoenders, B.J.: Application of self-healing property of partially coherent beams to ghost imaging. Appl. Phys. Lett. 117(17), 171104 (2020)

Article  ADS  Google Scholar 

Shen, Y.J., Pidishety, S., Nape, I., Dudley, A.: Self-healing of structured light: a review. J. Opt. 24, 103001 (2022)

Article  ADS  Google Scholar 

Cai, Y.J., Chen, Y.H., Wang, F.: Generation and propagation of partially coherent beams with nonconventional correlation functions: a review [Invited]. J. Opt. Soc. Am. A 31(9), 2083–2096 (2014)

Article  ADS  Google Scholar 

Zhu, J., Tang, H., Su, Q., Zhu, K.C.: Cascade self-splitting of a Hermite-cos-Gaussian correlated Schell-model beam. EPL 118(1), 14001 (2017)

Article  ADS  Google Scholar 

Chen, Y.H., Gu, J.X., Wang, F., Cai, Y.J.: Self-splitting properties of a Hermite-Gaussian correlated Schell-model beam. Phys. Rev. A 91(1), 013823 (2015)

Article  ADS  Google Scholar 

Lajunen, H., Saastamoinen, T.: Propagation characteristics of partially coherent beams with spatially varying correlations. Opt. Lett. 36(20), 4104–4106 (2011)

Article  ADS  Google Scholar 

Ding, C.L., Koivurova, M., Turunen, J., Pan, L.Z.: Self-focusing of a partially coherent beam with circular coherence. J. Opt. Soc. Am. A 34(8), 1441–1447 (2017)

Article  ADS  Google Scholar 

Zhao, Z.G., Ding, C.L., Zhang, Y.T., Pan, L.Z.: Spatial-temporal self-focusing of partially coherent pulsed beams in dispersive medium. Appl. Sci. 9(17), 3616 (2019)

Article  Google Scholar 

Gu, Y.L., Gbur, G.: Scintillation of nonuniformly correlated beams in atmospheric turbulence. Opt. Lett. 38(9), 1395–1397 (2013)

Article  ADS  Google Scholar 

Ding, C.L., Horoshko, D., Korotkva, O., Jing, C.R., Qi, X.X., Pan, L.Z.: Source coherence-induced control of spatiotemporal coherency vortices. Opt. Express 30(11), 19871–19888 (2022)

Article  ADS  Google Scholar 

Li, Y., Gao, M.: Twisted electromagnetic multi-Gaussian Schell-model pulsed source and its propagation. IEEE Photonics J. 13(5), 6500109 (2021)

Article  Google Scholar 

Hyde, M.W., IV.: The behavior of partially coherent twisted space-time beams in atmospheric turbulence. Front. Phys. 10, 1055401 (2023)

Article  Google Scholar 

Mei, Z.R., Korotkova, O.: Random sources for rotating spectral densities. Opt. Lett. 42(2), 255–258 (2017)

Article  ADS  Google Scholar 

Li, Y., Gao, M., Lv, H., Wang, L.G., Li, B., Ren, S.H., Wu, P.L.: Statistical properties of a spatio-temporally partially coherent vector cosine-Gaussian-correlated pulsed beam with radial polarization in atmospheric turbulence. Wave Random Complex 34(3), 1593–1615 (2021)

Article  ADS  Google Scholar