[1] R. Ryf, S. Randel, A. H. Gnauck, C. Bolle, R. Essiambre, P. J. Winzer, D. W. Peckham, A. McCurdy, R. Lingle. Space-division multiplexing over 10 km of three-mode fiber using coherent 6 × 6 MIMO processing. Optical Fiber Communication Conference and Exposition and National Fiber Optic Engineers Conference, 1-3(2011).
[2] E. Ip, N. Bai, Y. K. Huang, E. Mateo, F. Yaman, M. J. Li, S. Bickham, S. Ten, J. Liñares, C. Montero, V. Moreno, X. Prieto, V. Tse, K. M. Chung, A. Lau, H. Y. Tam, C. Lu, Y. Luo, G. D. Peng, G. Li. 88×3×112-Gb/s WDM transmission over 50 km of three-mode fiber with inline few mode fiber amplifier. 37th European Conference and Exposition on Optical Communications, Th.13.C.12(2011).
[3] H. Wen, C. Xia, A. M. Velázquez-Benítez, N. Chand, J. E. Antonio-Lopez, B. Huang, H. Liu, H. Zheng, P. Sillard, X. Liu, F. Effenberger, R. Amezcua-Correa, G. Li. First demonstration of six-mode PON achieving a record gain of 4 dB in upstream transmission loss budget. J. Lightwave Technol., 34, 1990-1996(2016).
[4] H. Liu, H. Wen, J. C. A. Zacarias, J. E. Antonio-Lopez, N. Wang, P. Sillard, A. A. Correa, R. Amezcua-Correa, G. Li. 3×10 Gb/s mode group-multiplexed transmission over a 20 km few-mode fiber using photonic lanterns. Optical Fiber Communication Conference, M2D.5(2017).
[5] G. Labroille, N. Barré, O. Pinel, B. Denolle, K. Lenglé, L. Garcia, L. Jaffrès, P. Jian, J.-F. Morizur. Characterization and applications of spatial mode multiplexers based on multi-plane light conversion. Opt. Fiber Technol., 35, 93-99(2017).
[6] J. Wang, J.-Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, A. E. Willner. Terabit free-space data transmission employing orbital angular momentum multiplexing. Nat. Photonics, 6, 488-496(2012).
[7] J. Montoya, C. Aleshire, C. Hwang, N. K. Fontaine, A. Velázquez-Benítez, D. H. Martz, T. Y. Fan, D. Ripin. Photonic lantern adaptive spatial mode control in LMA fiber amplifiers. Opt. Express, 24, 3405-3413(2016).
[8] J. Montoya, C. Hwang, D. Martz, C. Aleshire, T. Y. Fan, D. J. Ripin. Photonic lantern kW-class fiber amplifier. Opt. Express, 25, 27543-27550(2017).
[9] A. Billaud, F. Gomez, D. Allioux, N. Laurenchet, P. Jian, O. Pinel, G. Labroille. Optimal coherent beam combining based on multi-plane light conversion for high throughput optical feeder links. IEEE International Conference on Space Optical Systems and Applications (ICSOS), 1-5(2019).
[10] H. Wen, H. Liu, Y. Zhang, R. Sampson, S. Fan, G. Li. Scalable Hermite–Gaussian mode-demultiplexing hybrids. Opt. Lett., 45, 2219-2222(2020).
[11] S. G. Leon-Saval, N. K. Fontaine, J. R. Salazar-Gil, B. Ercan, R. Ryf, J. Bland-Hawthorn. Mode-selective photonic lanterns for space-division multiplexing. Opt. Express, 22, 1036-1044(2014).
[12] G. Arfken. Gram-Schmidt orthogonalization. Mathematical Methods for Physicists, 516-520(1985).
[13] J. Carpenter, N. K. Fontaine. Multi-plane light conversion with low plane count. Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference (CLEO/Europe-EQEC)(2017).
[14] J. H. van Lint. Hadamard codes and generalizations. Introduction to Coding Theory, 47-48(1999).
[15] Y. Sakamaki, T. Saida, T. Hashimoto, H. Takahashi. New optical waveguide design based on wavefront matching method. J. Lightwave Technol., 25, 3511-3518(2007).
[16] N. K. Fontaine, R. Ryf, H. Chen, D. Neilson, J. Carpenter. Design of high order mode-multiplexers using multiplane light conversion. European Conference on Optical Communication (ECOC), 1-3(2017).
[17] N. K. Fontaine, R. Ryf, H. Chen, D. T. Neilson, K. Kim, J. Carpenter. Laguerre-Gaussian mode sorter. Nat. Commun., 10, 1865(2019).
[18] M. A. Vorontsov, V. P. Sivokon. Stochastic parallel-gradient-descent technique for high-resolution wave-front phase-distortion correction. J. Opt. Soc. Am. A, 15, 2745-2758(1998).
[19] M. W. Beijersbergen, L. Allen, H. E. L. O. van der Veen, J. P. Woerdman. Astigmatic laser mode converters and transfer of orbital angular momentum. Opt. Commun., 96, 123-132(1993).