[1] P. A. Franken, A. E. Hill, C. W. Peters, G. Weinreich. Generation of optical harmonics. Phys. Rev. Lett., 7, 118(1961).
[2] R. H. Kingston. Parametric amplification and oscillation at optical frequencies. Proc. IRE, 50, 472(1962).
[3] N. M. Kroll. Parametric amplification in spatially extended media and application to the design of tuneable oscillators at optical frequencies. Phys. Rev., 127, 1207(1962).
[4] C. C. Wang, G. W. Racette. Measurement of parametric gain accompanying optical difference frequency generation. Appl. Phys. Lett., 6, 169(1965).
[5] J. Ma, J. Wang, P. Yuan, G. Xie, K. Xiong, Y. Tu, X. Tu, E. Shi, Y. Zheng, L. Qian. Quasi-parametric amplification of chirped pulses based on a Sm3+-doped yttrium calcium oxyborate crystal. Optica, 2, 1006(2015).
[6] H. Suchowski, G. Porat, A. Arie. Adiabatic processes in frequency conversion. Laser Photonics Rev., 8, 333(2014).
[7] A. Mosset, F. Devaux, E. Lantz. Spatially noiseless optical amplification of images. Phys. Rev. Lett., 94, 223603(2005).
[8] F. Devaux, E. Lantz. Gain in phase sensitive parametric image amplification. Phys. Rev. Lett., 85, 2308(2000).
[9] C. Dorrer. Optical parametric amplification of spectrally incoherent pulses. J. Opt. Soc. Am. B, 38, 792(2021).
[10] A. Forbes, M. de Oliveira, M. R. Dennis. Structured light. Nat. Photon., 15, 253(2021).
[11] M. J. Padgett. Orbital angular momentum 25 years on [Invited]. Opt. Express, 25, 11265(2017).
[12] Y. Shen, X. Wang, Z. Xie, C. Min, X. Fu, Q. Liu, M. Gong, X. Yuan. Optical vortices 30 years on: OAM manipulation from topological charge to multiple singularities. Light Sci. Appl., 8, 90(2019).
[13] A. E. Willner, H. Huang, Y. Yan, Y. Ren, N. Ahmed, G. Xie, C. Bao, L. Li, Y. Cao, Z. Zhao, J. Wang, M. P. J. Lavery, M. Tur, S. Ramachandran, A. F. Molisch, N. Ashrafi, S. Ashrafi. Optical communications using orbital angular momentum beams. Adv. Opt. Photon., 7, 66(2015).
[14] J. Chen, C. Wan, Q. Zhan. Engineering photonic angular momentum with structured light: a review. Adv. Photon., 3, 064001(2021).
[15] R. F. Offer, A. Daffurn, E. Riis, P. F. Griffin, A. S. Arnold, S. Franke-Arnold. Gouy phase-matched angular and radial mode conversion in four-wave mixing. Phys. Rev. A, 103, L021502(2021).
[16] G. Vallone, V. D’Ambrosio, A. Sponselli, S. Slussarenko, L. Marrucci, F. Sciarrino, P. Villoresi. Free-space quantum key distribution by rotation-invariant twisted photons. Phys. Rev. Lett., 113, 060503(2014).
[17] Z. Zhu, M. Janasik, A. Fyffe, D. Hay, Y. Zhou, B. Kantor, T. Winder, R. W. Boyd, G. Leuchs, Z. Shi. Compensation-free high-dimensional free-space optical communication using turbulence-resilient vector beams. Nat. Commun., 12, 1666(2021).
[18] A. G. de Oliveira, M. F. Z. Arruda, W. C. Soares, S. P. Walborn, R. M. Gomes, R. Medeiros de Araújo, P. H. Souto Ribeiro. Real-time phase conjugation of vector vortex beams. ACS Photonics, 7, 249(2020).
[19] R. Zhong, Z. Zhu, H. Wu, C. Rosales-Guzmán, S. Song, B. Shi. Gouy-phase-mediated propagation variations and revivals of transverse structure in vectorially structured light. Phys. Rev. A, 103, 053520(2021).
[20] G. Lazarev, P. Chen, J. Strauss, N. Fontaine, A. Forbes. Beyond the display: phase-only liquid crystal on silicon devices and their applications in photonics [Invited]. Opt. Express, 27, 16206(2019).
[21] Y. Ren, R. Lu, L. Gong. Tailoring light with a digital micromirror device. Ann. Phys., 527, 447(2015).
[22] C. Rosales-Guzmán, X. Hu, A. Selyem, P. Moreno-Acosta, S. Franke-Arnold, R. Ramos-Garcia, A. Forbes. Polarisation-insensitive generation of complex vector modes from a digital micromirror device. Sci. Rep., 10, 10434(2020).
[23] S. Turtaev, I. T. Leite, K. J. Mitchell, M. J. Padgett, D. B. Phillips, T. Čižmár. Comparison of nematic liquid-crystal and DMD based spatial light modulation in complex photonics. Opt. Express, 25, 29874(2017).
[24] A. Rubano, F. Cardano, B. Piccirillo, L. Marrucci. Q-plate technology: a progress review [Invited]. J. Opt. Soc. Am. B, 36, D70(2019).
[25] F. Cardano, L. Marrucci. Spin–orbit photonics. Nat. Photon., 9, 776(2015).
[26] K. Y. Bliokh, F. J. Rodríguez-Fortuño, F. Nori, A. V. Zayats. Spin–orbit interactions of light. Nat. Photon., 9, 796(2015).
[27] L. Marrucci, E. Karimi, S. Slussarenko, B. Piccirillo, E. Santamato, E. Nagali, F. Sciarrino. Spin-to-orbital conversion of the angular momentum of light and its classical and quantum applications. J. Opt., 13, 064001(2011).
[28] A. G. de Oliveira, G. Santos, N. R. da Silva, L. J. Pereira, G. B. Alves, A. Z. Khoury, P. H. S. Ribeiro. Beyond conservation of orbital angular momentum in stimulated parametric down-conversion. Phys. Rev. Appl., 16, 044019(2021).
[29] R. B. Rodrigues, G. B. Alves, R. F. Barros, C. E. R. Souza, A. Z. Khoury. Generalized orbital angular momentum symmetry in parametric amplification. Phys. Rev. A, 105, 013510(2022).
[30] X. Fang, H. Yang, Y. Zhang, M. Xiao. Optical parametric amplification of a Laguerre–Gaussian mode. OSA Continuum, 2, 236(2019).
[31] H. Zhong, C. Liang, S. Dai, J. Huang, S. Hu, C. Xu, L. Qian. Polarization-insensitive, high-gain parametric amplification of radially polarized femtosecond pulses. Optica, 8, 62(2021).
[32] H. Wu, L. Mao, Y. Yang, C. Rosales-Guzmán, W. Gao, B. Shi, Z. Zhu. Radial modal transitions of Laguerre-Gauss modes during parametric up-conversion: towards the full-field selection rule of spatial modes. Phys. Rev. A, 101, 063805(2020).
[33] M. A. Bandres, J. C. Gutierrez-Vega. Ince-Gaussian beams. Opt. Lett., 29, 144(2004).
[34] R. W. Boyd. Nonlinear Optics(2010).
[35] D. Nodop, J. Ruecker, S. Waechter, M. Kahle. Hyperbolic phase function used in a spatial light modulator for flat top focus generation. Opt. Lett., 44, 2169(2019).
[36] A. Kobyakov, M. Sauer, D. Chowdhury. Stimulated Brillouin scattering in optical fibers. Adv. Opt. Photon., 2, 1(2010).
