J. Eur. Opt. Society-Rapid Publ. 22, 19( 2026) 185
45 Franke-Arnold S, Allen L, Padgett M, Advances in optical angular momentum, Laser Photonics Rev. 2, 299( 2008). https:// doi. org / 10.1002 / lpor. 200810007.
46 Padgett M, Bowman R, Tweezers with a twist, Nat. Photonics 5, 343( 2011). https:// doi. org / 10.1038 / nphoton. 2011.81.
47 Mirhosseini M, Magaña-Loaiza OS, Chen C, Rodenburg B, Malik M, Boyd RW, Rapid generation of light beams carrying orbital angular momentum, Opt. Express 21, 30196( 2013). https:// doi. org / 10.1364 / OE. 21.030196.
48 Ambuj A, Vyas R, Singh S, Diffraction of orbital angular momentum carrying optical beams by a circular aperture, Opt. Lett. 39, 5475( 2014). https:// doi. org / 10.1364 / OL. 39.005475.
49 Gbur G, Singular Optics, 1st edn.( CRC Press, 2016), ISBN 978-0521642224.
50 Zeng J, Lin R, Liu X, Zhao C, Cai Y, Review on partially coherent vortex beams, Front. Optoelectron. 12, 229( 2019). https:// doi. org / 10.1007 / s12200-019-0901-x.
51 Zhang Y, Cai Y, Gbur G, Control of orbital angular momentum with partially coherent vortex beams, Opt. Lett. 44, 3617( 2019). https:// doi. org / 10.1364 / OL. 44.003617.
52 Liu X, Zeng J, Cai Y, Review on vortex beams with low spatial coherence, Adv. Phys. X 4, 1626766( 2019). https:// doi. org / 10.1080 / 23746149.2019.1626766.
53 Zhang H, Lu X, Wang Z, Konijnenberg AP, Wang H, Zhao C, Cai Y, Generation and propagation of partially coherent power-exponent-phase vortex beam, Front. Phys. 9, 781688( 2021). https:// doi. org / 10.3389 / fphy. 2021.781688.
54 Hyde IV MW, Korotkova O, Spencer MF, Partially coherent sources whose coherent modes are spatiotemporal optical vortex beams, J. Opt. 25, 035606( 2023). https:// doi. org / 10.1088 / 2040-8986 / acba2d.
55 Mandel L, Wolf E, Optical Coherence and Quantum Optics( Cambridge University Press, 1995), ISBN 9780521417112.
56 Siegman AE, Lasers( University Science Books, 1986), ISBN 0935702113.
57 Korotkova O, Gbur G, Unified matrix representation for spin and orbital angular momentum in partially coherent beams, Phys. Rev. A 103, 023529( 2021). https:// doi. org / 10.1103 / PhysRevA. 103.023529.
58 Korotkova O, Pokharel S, OAM degree of coherence, Opt. Lett. 49, 5103( 2024). https:// doi. org / 10.1364 / OL. 528291.
59 Korotkova O, Orbitalization ellipse of a light beam, Opt. Lett. 50, 391( 2025). https:// doi. org / 10.1364 / OL. 545613.
60 Korotkova O, Orbitalization structure of random light beams, J. Opt. 27, 065606( 2025). https:// doi. org / 10.1088 / 2040-8986 / addc7c.
61 Born M, Wolf E, Principles of Optics, 7th( corrected) edn.( Cambridge University Press, 1999), ISBN 978-0521642224.
62 Gradshteiin IS, Ryzhik IM, Table of Integrals, Series, and Products, 4th edn.( Academic Press, 1965).
63 Abramowitz M, Stegun I, eds., Handbook of mathematical functions( Dover Publications Inc, 1972).
64 Prudnikov A, Brychkov Y, Marichev O, Integrals and Series, Vol. 1: Elementary Functions( Gordon and Breach Science Publisher, 1986).