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Generation of linearly polarized modes using a digital micromirror device and phase optimization
  N.A. Correa-Rojas 1, R.D. Gallego-Ruiz 2, M.I. Álvarez-Castaño 1
1 Faculty of Engineering, Department of Electronics and Telecommunications,
     Metropolitan Technological Institute, Medellin Calle 54A 30-01, Colombia;
    2 Faculty of Engineering, Department of Electronics and Telecommunications
  University of Antioquia, A.A. 1226, Medellin, Colombia
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DOI: 10.18287/2412-6179-CO-857
Pages: 30-38.
Full text of article: English language.
 
Abstract:
Linearly polarized modes  were generated from the fundamental LP01 using Lee holograms displayed  on a digital micromirror device. The phase in the holograms was optimized using  simulated annealing algorithm and complex amplitude correlation to improve the  quality of the converted modes. The correlation measurements, and comparisons  between numerical and experimental results, show the fidelity of the obtained  modes and the effectiveness of the optimization. Furthermore, the optimized  holograms can be combined to generate multiple modes spatially addressed with  individual control. The results, and the use of a digital micromirror device  instead of the most common liquid crystal modulators, make this method suitable  for Modal Division Multiplexing systems and compatible with other optical  telecommunication techniques like Wavelength and Polarization Division  multiplexing, and reconfigurable optical networks.
Keywords:
phase modulation, spatial light modulators, diffractive optics, free-space optical communication, optical  communications, modes; buffers, couplers, routers,  switches, and multiplexers.
Citation:
  Correa-Rojas NA, Gallego-Ruiz RD, Álvarez-Castaño MI. Generation of linearly polarized modes using a digital micromirror device and phase optimization. Computer Optics 2022; 46(1): 30-38. DOI: 10.18287/2412-6179-CO-857.
Acknowledgements:
  The work was funded by the Metropolitan Technological Institute (Instituto Tecnológico Metropolitano), grant number P20222.
References:
  - Essiambre R-J, Kramer G,  Winzer PJ, Foschini GJ, Goebel B. Capacity limits of optical fiber networks. J  Light Technol 2010; 28(4): 662-701. DOI: 10.1109/JLT.2009.2039464.
- Essiambre RJ, Tkach RW.  Capacity trends and limits of optical communication networks. Proc IEEE 2012;  100(5): 1035-1055. DOI: 10.1109/JPROC.2012.2182970. 
 
- Ellis AD, McCarthy  ME, Al Khateeb MAZ, Sorokina M, Doran NJ. Performance limits in optical  communications due to fiber nonlinearity. Adv Opt Photonics 2017; 9(3):  429-503. DOI: 10.1364/AOP.9.000429.      
    
- Klaus W, Puttnam BJ, Luís RS, Sakaguchi J,  Delgado Mendinueta J-M, Awaji Y, Wada N. Advanced space division multiplexing  technologies for optical networks. J Opt Commun Netw 2017; 9(4): C1-C11. DOI:  10.1364/JOCN.9.0000C1.    
    
- Ruffato G, Massari M, Parisi G, Romanato F.  Test of mode-division multiplexing and demultiplexing in free-space with  diffractive transformation optics. Opt Express 2017; 25: 7859-7868. DOI:  10.1364/OE.25.007859.    
    
- Essiambre R-J, Ryf R, Fontaine NK, Randel S.  Breakthroughs in photonics 2012: Space-division multiplexing in multimode and  multicore fibers for high-capacity optical communication. IEEE Photonics J  2013; 5(2): 0701307. DOI: 10.1109/JPHOT.2013.2253091.    
    
- Weng Y, Ip E, Pan Z, Wang T. Advanced  spatial-division multiplexed measurement systems propositions-from telecommunication  to sensing applications: A review. Sensors (Switzerland) 2016; 16(9): 1387.  DOI: 10.3390/s16091387.    
    
- Li G, Bai N, Zhao N. Space-division  multiplexing: the next frontier in optical communication. Adv Opt Photonics  2014; 6(4): 413-487. DOI: 10.1364/AOP.6.000413.    
    
- Richardson  DJ, Fini JM, Nelson LE. Space-division multiplexing in optical fibres. Nat  Photonics 2013; 7: 354-362. DOI: 10.1038/nphoton.2013.94.    
    
- Al Amin A, Li A, Chen S, Chen X, Gao G, Shieh  W. Dual-LP_11 mode 4x4 MIMO-OFDM transmission over a two-mode fiber. Opt  Express 2011; 19(17): 16672-16679. DOI: 10.1364/OE.19.016672.    
    
- Winzer PJ, Foschini GJ. MIMO capacities and  outage probabilities in spatially multiplexed optical transport systems. Opt  Express 2011; 19(17): 16680-16696. DOI: 10.1364/OE.19.016680.    
    
- Kubota H, Morioka T. Few-mode optical fiber for  mode-division multiplexing. Opt Fiber Technol 2011; 17: 490-494. DOI:  10.1016/j.yofte.2011.06.011.    
    
- Arik SO, Kahn JM, Ho K-P. MIMO signal  processing for mode-division multiplexing: An overview of channel models and  signal processing architectures. IEEE Signal Process Mag 2014; 31: 25-34. DOI:  10.1109/MSP.2013.2290804.    
    
- Sillard P, Bigot-Astruc M, Molin D. Few-mode  fibers for mode-division-multiplexed systems. J Light Technol 2014; 32:  2824-2829. DOI: 10.1109/JLT.2014.2312845.    
    
- Berdagué S, Facq P. Mode division multiplexing  in optical fibers. Appl Opt 1982; 21(11): 1950-1955. DOI: 10.1364/AO.21.001950.    
    
- Willner AE, Huang H, Yan Y, et al. Optical  communications using orbital angular momentum beams. Adv Opt Photonics 2015;  7(1): 66-106. DOI: 10.1364/AOP.7.000066.    
    
- Wang J, Yang JY, Fazal IM, et al. Terabit  free-space data transmission employing orbital angular momentum multiplexing.  Nat Photonics 2012; 6: 488-496. DOI: 10.1038/nphoton.2012.138.    
    
- Bozinovic N, Yue Y, Ren Y, et al. Terabit-scale orbital angular momentum mode division  multiplexing in fibers. Science 2013; 340: 1545-1548. DOI:  10.1126/science.1237861.    
    
- Koebele C, Salsi M, Sperti D, et al. Two mode  transmission at 2×100 Gb/s, over 40 km-long prototype few-mode fiber, using  LCOS-based programmable mode multiplexer and demultiplexer. Opt Express 2011;  19: 16593-16600. DOI: 10.1364/OE.19.016593.    
    
- Saridis GM, Alexandropoulos D, Zervas G,  Simeonidou D. Survey and evaluation of space division multiplexing: from  technologies to optical networks. IEEE Commun Surv Tutorials 2015; 17:  2136-2156. DOI: 10.1109/COMST.2015.2466458.    
    
- Winzer PJ. Making spatial multiplexing a  reality. Nat Photonics 2014; 8: 345-348. DOI: 10.1038/nphoton.2014.58.    
    
- Karpeev SV, Pavelyev VS, Soifer VA, Khonina SN,  Duparre M, Luedge B, Turunen J. Transverse mode multiplexing by diffractive  optical elements. Proc SPIE 2005; 5854: 163-169. DOI: 10.1117/12.634547.    
    
- Soifer VA, Karpeev SV., Pavelyev VS, Duparre  MR, Luedge B. Realization of an optical interconnection concept using  transversal mode selection. Proc SPIE 2000; 4316: 152-162. DOI:  10.1117/12.407671.    
    
- Karpeev SV, Pavelyev VS, Soifer VA, Doskolovich  LL, Duparre MR, Luedge B. Mode multiplexing by diffractive optical elements in  optical telecommunication. Proc SPIE 2003; 5480: 153-165. DOI:  10.1117/12.558775.    
    
- Weng Y, He X, Pan Z. Space division  multiplexing optical communication using few-mode fibers. Opt Fiber Technol  2017; 36: 155-180. DOI: 10.1016/j.yofte.2017.03.009.    
    
- Khonina SN, Karpeev SV, Paranin VD. A technique  for simultaneous detection of individual vortex states of Laguerre–Gaussian  beams transmitted through an aqueous suspension of microparticles. Opt Lasers  Eng 2018; 105: 68-74. DOI: 10.1016/j.optlaseng.2018.01.006.    
    
- Lyubopytov VS, Tlyavlin AZ, Sultanov AK,  Bagmanov VK, Khonina SN, Karpeev SV, Kazanskiy NL. Mathematical model of  completely optical system for detection of mode propagation parameters in an  optical fiber with few-mode operation for adaptive compensation of mode  coupling. Computer Optics 2013; 37(3): 352-359. DOI:  10.18287/0134-2452-2013-37-3-352-359.    
    
- Gao Y, Sun J, Chen G, Sima C. Demonstration of  simultaneous mode conversion and demultiplexing for mode and wavelength  division multiplexing systems based on tilted few-mode fiber Bragg gratings.  Opt Express 2015; 23(8): 9959-9967. DOI: 10.1364/OE.23.009959.    
    
- Wang W, Zhao J, Yu H, Yang Z, Zhang Y, Zhang Z,  Guo C, Li G. Demonstration of 6×10 Gb/s MIMO-free polarization- and  mode-multiplexed transmission. IEEE Photon Technol Lett 2018; 30(15):  1372-1375. DOI: 10.1109/LPT.2018.2848226.    
    
- Carpenter J, Wilkinson TD. All optical mode-multiplexing  using holography and multimode fiber couplers. J Lightw Technol 2012; 30:  1978-1984. DOI: 10.1109/JLT.2012.2191586.    
    
- Garcia-Rodriguez D, Corral JL, Llorente R. Mode  conversion for mode division multiplexing at 850 nm in standard SMF. IEEE  Photon Technol Lett 2017; 29: 929-932. DOI: 10.1109/LPT.2017.2694605.    
    
- von Hoyningen-Huene J, Ryf R, Winzer P.  LCoS-based mode shaper for few-mode fiber. Opt Express 2013; 21: 18097-18110.  DOI: 10.1364/OE.21.018097.    
    
- Lee YS, Lim KS, Islam MR, Lai MH, Ahmad H.  Dynamic LP01-LP11 mode conversion by a tilted binary phase plate. J Lightw  Technol 2017; 35: 3597-3603. DOI: 10.1109/JLT.2016.2599179.    
    
- Labroille G, Denolle B, Jian P, Morizur JF,  Genevaux P, Treps N. Efficient and mode selective spatial mode multiplexer  based on multi-plane light conversion. 2014 IEEE Photon Conf (IPC 2014) 2014:  518-519. DOI: 10.1109/IPCon.2014.6995478.    
    
- Igarashi K, Souma D, Tsuritani T, Morita I.  Performance evaluation of selective mode conversion based on phase plates for a  10-mode fiber. Opt Express 2014; 22(17): 20881-20893. DOI:  10.1364/OE.22.020881.    
    
- Mohammed W. Selective excitation of the LP11  mode in step index fiber using a phase mask. Opt Eng 2006; 45: 074602. DOI:  10.1117/1.2219425.    
    
- Li S, Mo Q, Hu X, Du C, Wang J. Controllable  all-fiber orbital angular momentum mode converter. Opt Lett 2015; 40:  4376-4379. DOI: 10.1364/OL.40.004376.    
    
- Fernandes GM, Muga NJ, Pinto AN. Tunable mode conversion using acoustic waves in  optical microwires. J Lightw Technol 2014; 32: 3257-3265. DOI:  10.1109/JLT.2014.2330955.    
    
- Shwartz S, Golub M, Ruschin S. Diffractive  optical elements for mode-division multiplexing of temporal signals with the  aid of Laguerre–Gaussian modes. Appl Opt 2013; 52(12): 2659-2669. DOI: 10.1364/AO.52.002659.    
    
- Zhao Y, Liu Y, Wen J, Wang T. Mode converter  based on the long period fiber gratings written in two mode fiber. 2015  Opto-Electronics Commun Conf (OECC 2015) 2015: 1-3. DOI:  10.1109/OECC.2015.7340080.    
    
- Tulikumwenayo A. Construction of multi-mode  fiber modes using phase masks. Thesis Rochester Inst Technol 2013. Source: <https://scholarworks.rit.edu/cgi/viewcontent.cgi?referer=&httpsredir=1&article=1026&context=theses>.    
    
- Ferreira F, Borne D Van Den, Silva H, Monteiro  P. Crosstalk optimization of phase masks for mode multiplexing in few mode  fibers. OSA Technical Digest 2012: JW2A.37. DOI: 10.1364/NFOEC.2012.JW2A.37.    
    
- Flamm D, Naidoo D, Schulze C, Forbes A, Duparré  M. Mode analysis with a spatial light modulator as a correlation filter. Opt  Lett 2012; 37(13): 2478-2480. DOI: 10.1364/OL.37.002478.    
    
- Forbes A, Dudley  A, McLaren M. Creation and detection of optical modes with spatial light  modulators. Adv Opt Photonics 2016; 8(2): 200-227. DOI: 10.1364/AOP.8.000200.    
    
- Ren Y-X, Lu R-D, Gong L. Tailoring light with a  digital micromirror device. Ann Phys 2015; 527: 447-470. DOI:  10.1002/andp.201500111.    
    
- Turtaev S, Leite IT, Mitchell KJ, Padgett MJ,  Phillips DB, Čižmár T. Comparison of nematic liquid-crystal and DMD based spatial  light modulation in complex photonics. Opt Express 2017; 25(24): 29874-29884.  DOI: 10.1364/OE.25.029874.    
    
- Lerner V, Shwa D, Drori Y, Katz N. Shaping  Laguerre–Gaussian laser modes with binary gratings using a digital micromirror  device. Opt Lett 2012; 37(23): 4826-4828. DOI: 10.1364/OL.37.004826.    
    
- Zhao Q, Gong L, Li Y-M. Shaping  diffraction-free Lommel beams with digital binary amplitude masks. Appl Opt  2015; 54: 7553-7558. DOI:10.1364/AO.54.007553.    
    
- Cheng J, Gu C, Zhang D, Chen S-C. High-speed  femtosecond laser beam shaping based on binary holography using a digital  micromirror device. Opt Lett 2015; 40: 4875-4878. DOI: 10.1364/OL.40.004875.    
    
- Ren Y-X, Li M, Huang K, Wu J-G, Gao H-F, Wang  Z-Q, Li Y-M. Experimental generation of Laguerre-Gaussian beam using digital  micromirror device. Appl Opt 2010; 49(10): 1838-1844. DOI:  10.1364/AO.49.001838.    
    
- Ren YX, Fang ZX, Gong L, Huang K, Chen Y, Lu  R-D. Dynamic generation of Ince-Gaussian modes with a digital micromirror  device. J Appl Phys 2015; 117(13): 133106. DOI: 10.1063/1.4915478.    
    
- Lee W-H. High efficiency multiple beam  gratings. Appl Opt 1979; 18(13): 2152-2158. DOI: 10.1364/AO.18.002152.    
    
- Davis JA, Valadéz KO, Cottrell DM. Encoding  amplitude and phase information onto a binary phase-only spatial light  modulator. Appl Opt 2003; 42(11): 2003-2008. DOI: 10.1364/AO.42.002003.    
    
- Blanche P-A, Carothers D, Wissinger J,  Peyghambarian N. Digital micromirror device as a diffractive reconfigurable  optical switch for telecommunication. Journal of Micro/Nanolithography, MEMS,  and MOEMS 2013; 13(1): 011104. DOI: 10.1117/1.JMM.13.1.011104.    
    
- Khonina SN, Kotlyar VV, Soifer VA.  Techniques for encoding composite diffractive optical elements. Proc SPIE 2003;  5036: 493-498. DOI: 10.1117/12.498521.    
    
- Khonina SN,  Ustinov AV. Binary multi-order diffraction optical elements with variable fill  factor for the formation and detection of optical vortices of arbitrary order.  Appl Opt 2019; 58(30): 8227-8236. DOI: 10.1364/AO.58.008227.    
    
- Khonina SN, Balalayev SA, Skidanov RV, Kotlyar  VV, Päivänranta B, Turunen J. Encoded binary diffractive element to form  hyper-geometric laser beams. J Opt A–Pure Appl Opt 2009; 11(6): 065702. DOI:  10.1088/1464-4258/11/6/065702.    
    
- Kotlyar VV, Khonina SN, Melekhin AS, Soifer VA. Encoding of  diffractive optical elements by local phase jump method. Computer Optics 1999: 19: 54-64.    
    
- Golub MA, Karpeev SV, Krivoshlykov SG,  Prokhorov AM, Sisakyan IN, Soĭfer   VA. Spatial filter investigation  of the distribution of power between transverse modes in a fiber waveguide. Sov  J Quantum Electron 1984; 14: 1255-1256. DOI: 10.1070/qe1984v014n09abeh006201.    
    
- Golub MA, Karpeev SV, Kazanskiĭ NL, Mirzov AV,  Sisakyan IN, Soĭfer VA, Uvarov GV. Spatial phase filters matched to transverse  modes. Sov J Quantum Electron 1988; 18(3): 392-393. DOI:  10.1070/qe1988v018n03abeh011528.    
    
- Bartelt HO, Lohmann AW, Freude W, Grau GK. Mode  analysis of optical fibres using computer-generated matched filters. Electron  Lett 1983; 19: 247-249. DOI: 10.1049/el:19830170.    
    
- Kaiser T, Flamm D, Schröter S, Duparré M.  Complete modal decomposition for optical fibers using CGH-based correlation  filters. Opt Express 2009; 17(11): 9347-9356. DOI: 10.1364/OE.17.009347.    
    
- Kaiser T, Lüdge B, Schröter S, Kauffmann D,  Duparré M. Detection of mode conversion effects in passive LMA fibres by means  of optical correlation analysis. Proc SPIE 2008; 6998: 69980J. DOI:  10.1117/12.783100.    
    
- Gavrilov AV, Karpeev SV, Kazanskiy NL, Pavelyev  VS, Duparré M, Luedge B, Schroeter S. Selective excitation of step-index fiber  modes. Proc SPIE 2007; 6605: 660508. DOI: 10.1117/12.728461.    
    
- Fang L, Zuo H, Pang L, Yang Z, Zhang X, Zhu J.  Image reconstruction through thin scattering media by simulated annealing  algorithm. Opt Lasers Eng 2018; 106:  105-110. DOI: 10.1016/j.optlaseng.2018.02.020.    
    
- Gallego-Ruiz RD, Álvarez-Castão MI,  Herrera-Ramírez JA, Correa NA. Optimization of  phase masks using simulated annealing algorithm for mode conversion. J Phys  Conf Ser 2020; 1547: 012007. DOI: 10.1088/1742-6596/1547/1/012007.    
    
- Lan M, Gao  L, Yu S, Nie S, Cai S, Qi X, Du Z, Ma C, Gu W. An arbitrary mode converter with  high precision for mode division multiplexing in optical fibers. J Mod Opt  2015; 62(5): 348-352. DOI: 10.1080/09500340.2014.982223.        
    
- Carpenter  J, Wilkinson TD. Graphics processing unit–accelerated holography by simulated  annealing. Opt Eng 2010; 49(9): 095801. DOI:  10.1117/1.3484950. 
 
  
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