Laser & Optoelectronics Progress, Volume. 61, Issue 5, 0507001(2024)
Position Mapping Relationship for Converting Laguerre-Gaussian Beam Array into Hermite-Gaussian Beam Array Based on a Tilted Lens
[1] Allen L, Beijersbergen M W, Spreeuw R J et al. Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes[J]. Physical Review A, 45, 8185-8189(1992).
[2] Tang A, Bin L, Xiong G Y et al. Completely revealing the amplitude properties of Laguerre-Gaussian vortex beams[J]. Optics Express, 30, 28892-28904(2022).
[3] Gahagan K T, Swartzlander G A. Optical vortex trapping of particles[J]. Optics Letters, 21, 827-829(1996).
[4] Figliozzi P, Sule N, Yan Z J et al. Driven optical matter: dynamics of electrodynamically coupled nanoparticles in an optical ring vortex[J]. Physical Review E, 95, 022604(2017).
[5] Shen Y J, Wang X J, Xie Z W et al. Optical vortices 30 years on: OAM manipulation from topological charge to multiple singularities[J]. Light: Science & Applications, 8, 1-29(2019).
[6] Zhang Y X, Liu X F, Lin H et al. Ultrafast multi-target control of tightly focused light fields[J]. Opto-Electronic Advances, 5, 210026(2022).
[7] Gibson G, Courtial J, Padgett M J et al. Free-space information transfer using light beams carrying orbital angular momentum[J]. Optics Express, 12, 5448-5456(2004).
[8] Huang H, Yue Y, Ahmed N et al. Systems and techniques for orbital angular momentum based reconfigurable switching[P].
[9] Bozinovic N, Yue Y, Ren Y X et al. Terabit-scale orbital angular momentum mode division multiplexing in fibers[J]. Science, 340, 1545-1548(2013).
[10] Du J, Li S H, Zhao Y F et al. Demonstration of M-ary encoding/decoding using visible-light Bessel beams carrying orbital angular momentum (OAM) for free-space obstruction-free optical communications[C], M2F.4(2015).
[11] Ke X Z, Guo X L. Realization of optical phase information encode by using orbital angular momentum of light beam[J]. Chinese Journal of Quantum Electronics, 32, 69-76(2015).
[12] Li S H, Xu Z D, Liu J et al. Experimental demonstration of free-space optical communications using orbital angular momentum (OAM) array encoding/decoding[C], JTh2A.67(2015).
[13] Liu H D, Hei X B, Yang Y et al. Orbital angular momentum in a superposition state for high-dimensional modulation and demodulation in underwater optical communication[J]. Laser & Optoelectronics Progress, 60, 0901001(2023).
[14] Nan J H, Han Y P. Dual-channel multiband vortex optical communication[J]. Acta Optica Sinica, 41, 1206001(2021).
[15] Wei Y, Yu Y H, Hei X B et al[J]. Laser & Optoelectronics Progress, 59, 1301001(2022).
[16] Yang L, Qian D D, Xin C et al. Direct laser writing of complex microtubes using femtosecond vortex beams[J]. Applied Physics Letters, 110, 221103(2017).
[17] Chen Y, Gao J, Jiao Z Q et al. Mapping twisted light into and out of a photonic chip[J]. Physical Review Letters, 121, 233602(2018).
[18] Emile O, Emile J. Naked eye picometer resolution in a Michelson interferometer using conjugated twisted beams[J]. Optics Letters, 42, 354-357(2017).
[19] Verma G, Yadav G. Compact picometer-scale interferometer using twisted light[J]. Optics Letters, 44, 3594-3597(2019).
[20] Liu L, Gao Y S, Liu X Z. High-dimensional vortex beam encoding/decoding for high-speed free-space optical communication[J]. Optics Communications, 452, 40-47(2019).
[21] Li X Z, Zhang H. Anomalous ring-connected optical vortex array[J]. Optics Express, 28, 13775-13785(2020).
[22] Kumar P, Nishchal N K. Array formation of optical vortices using in-line phase modulation[J]. Optics Communications, 493, 127020(2021).
[23] Lee D, Lee H, Migara L K et al. Widely tunable optical vortex array generator based on grid patterned liquid crystal cell[J]. Advanced Optical Materials, 9, 2001604(2021).
[24] Wang X C, Bai S C, Pan Y et al. Generation of one-dimensional vortex-arrays with tunable singularity and high peak power in a passively Q-switched microchip laser[J]. Optics & Laser Technology, 143, 107367(2021).
[25] Yuan Y, Tong L Y, Cai F X et al. Direct generation of optical vortex arrays by rotating in an all-solid-state Yb: CALGO laser[J]. Optical Materials Express, 11, 1594-1602(2021).
[26] Zhang Q L, Yu D H, Xu J et al. Experimental observation of optical vortex array by intra-resonator modulated high-order laser resonator[J]. Optik, 225, 165870(2021).
[27] Zhu L H, Tang M M, Li H H et al. Optical vortex lattice: an exploitation of orbital angular momentum[J]. Nanophotonics, 10, 2487-2496(2021).
[28] Kumar P, Nishchal N K, AlFalou A. Controllable optical vortex array for image encoding[J]. IEEE Photonics Technology Letters, 34, 521-524(2022).
[29] Long Z X, Zhang H, Tai Y P et al. Optical vortex array with deformable hybrid Ferris structures[J]. Optics & Laser Technology, 145, 107524(2022).
[30] Wang E L, Shi L N, Niu J B et al. Multichannel spatially nonhomogeneous focused vector vortex beams for quantum experiments[J]. Advanced Optical Materials, 7, 1801415(2019).
[31] Hickmann J M, Fonseca E J S, Soares W C et al. Unveiling a truncated optical lattice associated with a triangular aperture using light’s orbital angular momentum[J]. Physical Review Letters, 105, 053904(2010).
[32] Hosseini-Saber S M A, Akhlaghi E A, Saber A. Diffractometry-based vortex beams fractional topological charge measurement[J]. Optics Letters, 45, 3478-3481(2020).
[33] Gao H, Han Y H, Li Y et al. Topological charge measurement of concentric OAM states using the phase-shift method[J]. Journal of the Optical Society of America A, 35, A40-A44(2018).
[34] Vaity P, Banerji J, Singh R P. Measuring the topological charge of an optical vortex by using a tilted convex lens[J]. Physics Letters A, 377, 1154-1156(2013).
[35] Kotlyar V V, Kovalev A A, Porfirev A P. Astigmatic transforms of an optical vortex for measurement of its topological charge[J]. Applied Optics, 56, 4095-4104(2017).
[36] Harshith B S, Samanta G K. Controlled generation of array beams of higher order orbital angular momentum and study of their frequency-doubling characteristics[J]. Scientific Reports, 9, 1-7(2019).
[37] Allen L, Padgett M J, Babiker M. The orbital angular momentum of light[J]. Progress in Optics, 39, 291-372(1999).
[38] Hodgson N, Weber H[M]. Laser resonators and beam propagation, 45-46(2005).
[39] Prudnikov A P, Brychkov Y A, Marichev O I[M]. Integrals and series: elementary functions, 344, 641(1986).
[40] Du Y F, Liu D M, Fu S N et al. Reconfigurable generation of double-ring perfect vortex beam[J]. Optics Express, 29, 17353-17364(2021).
[41] Arrizón V, Ruiz U, Carrada R et al. Pixelated phase computer holograms for the accurate encoding of scalar complex fields[J]. Journal of the Optical Society of America A, 24, 3500-3507(2007).
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Guangyun Xiong, Ao Tang, Bin Lan, Feng Shen. Position Mapping Relationship for Converting Laguerre-Gaussian Beam Array into Hermite-Gaussian Beam Array Based on a Tilted Lens[J]. Laser & Optoelectronics Progress, 2024, 61(5): 0507001
Category: Fourier Optics and Signal Processing
Received: Jan. 5, 2023
Accepted: Mar. 29, 2023
Published Online: Mar. 13, 2024
The Author Email: Feng Shen (shenfeng@ioe.ac.cn)
CSTR:32186.14.LOP230454