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Excitation and detection of angular harmonics in an optical fiber using DOE

S.N. Khonina1, S.V. Karpeev1
1Image Processing Systems Institute of RAS

 PDF, 126 kB

Pages: 16-26.

The paper considers linearly polarized modes of a weakly guiding fiber, carrying a nonzero orbital angular momentum. Experiments have been carried out on the excitation of lower-order angular harmonics and their superposition in a stepped low-mode optical fiber. It is shown that if high selectivity of excitation is achieved and when the DOE is shifted, paired harmonics with opposite signs appear..

angular harmonic, DOE, linearly polarized mode, orbital angular momentum, optical fiber.

Khonina SN, Karpeev SV. Excitation and detection of angular harmonics in an optical fiber using DOE. Computer Optics 2004; 26: 16-26.


  1. Berdague S., Facq P. Mode division multiplexing in optical fibers. Appl Opt 1982; 21: 1950-1955. 
  2. Soifer VA, Golub MA. Laser beam mode selection by computer-generated holograms. Boca Raton: CRC Press; 1994. 
  3. Anderson DZ, Bolshtyansky MA, Zel’dovich BYa. Stabilization of the speckle pattern of a multimode fiber undergoing bending. Opt Lett 1996; 21(11): 785-787. 
  4. Bolshtyansky MA, Zel’dovich BYa. Stabilization of transmission function: theory for an ultrathin endoscope of one multimode fiber. Appl Opt 1997; 36(16): 3673-3681. 
  5. Shinmura Y, Ezoe H, Yoshikawa M. Observation of mode in graded-index optical fibers with bending and cross talk in MDM. IEICE Trans Electron 1997; E80-C(6): 828-830. 
  6. Marcuse D. Theory of dielectric optical waveguides. San Diego: Academic; 1974. 
  7. Raddatz L, White IH, Cunningham DG, Nowell MC. An experimental and theoretical study of the offset launch technique for the enhancement of the bandwidth of multimode fibre links. IEEE J Light Technol 1998; 16(3): 324-331. 
  8. Stuart HR. Dispersive multiplexing in multimode fiber. Proc Optical Fiber Communication Conference 2000: 305-307. 
  9. Koonen T, van den Boom H, Willems F, Bergmans J, Khoe G-D. Mode group diversity multiplexing for multiservice in-house networks using multi-mode polymer optical fibre. Proc. IEEE/LEOS Benelux Chapter. Amsterdam; 2002: 183-186. 
  10. Poole CD, Wang S-C. Bend-induced loss for the higher-order spatial mode in a dual-mode fiber. Opt Lett 1993; 18(20): 1712-1714. 
  11. Hwang IK, Yun SH, Kim BY. Long-period fiber gratings based on periodic microbends. Opt Lett 1999; 24(18): 1263-1265. 
  12. Lee KS, Erdogan T. Fiber mode conversion with tilted gratings in an optical fiber. J Opt Soc Am A 2001; 18(5): 1176-1185. 
  13. Thornburg WQ, Corrado BJ, Zhu XD. Selective launching of higher-order modes into an optical fiber with an optical phase shifter. Opt Lett 1994; 19(7): 454-456. 
  14. Poon AW, Chang RK, Lock JA. Spiral morphologydependent resonances in an optical fiber: effects of fiber tilt and focused Gaussian beam illumination. Optics Letters 1998; 23(14): 1105-1107. 
  15. Bolshtyansky MA, Savchenko AYu, Zel’dovich BYa. Use of skew rays in multimode fibers to generate speckle field with nonzero vorticity. Opt Lett 1999; 24(7): 433-435. 
  16. Dubois F, Emplit Ph, Hugon O. Selective mode excitation in graded-index multimode fiber by a computer-generated optical mask. Opt Lett 1994; 19(7): 433-435. 
  17. Soifer VA, Golub MA. Laser beam mode selection by computer-generated holograms. Boca Raton: CRC Press; 1994. 
  18. Soifer VA, ed. Methods for computer design of diffractive optical elements. New York: John Wiley & Sons Inc; 2002. 
  19. Marcuse D. Light transmission optics. New York: Van Nostrand Reinhold Co; 1972. 
  20. Cherin AH. An introduction to optical fibers. Singapore: McGrawHill book Co; 1987. 
  21. Koshiba M. Optical waveguide analysis. Tokyo: McGraw-Hill Inc; 1990. 
  22. Abramovits M, Stigan I. Handbook of mathematical functions: with formulas, graphs, and mathematical tables. 9th ed. New York: Dover Publications Inc; 1972. 
  23. Snyder AW, Love J. Optical waveguide theory. Boston, Dordrecht, London: Kluwer Academic Publishers; 1983. 
  24. Levi L. Applied optics // John Wiley & Sons Inc., New York, 1980 
  25. Gloge D. Weakly guided fibers. Appl Opt 1971; 10: 2252-2258.
  26. Yeh C. Handbook of fiber optics. Theory and applications // Academic Press Inc., New York, 1990. 
  27. Kotlyar VV, Khonina SN, Soifer VA, Wang J. Measuring the orbital angular momentum of the light field with a diffractive optical element [In Russian]. Avtometriya 2002; 38(3): 33-44. 
  28. Khonina SN, Skidanov RV, Kotlyar VV, Soifer VA. Phase diffractive filter to analyze an output step-index fiber beam [In Russian]. Computer Optics 2003; 25: 89-94. 
  29. Karpeev SV, Paveliev VS, Khonina SN. Investigation of the dependence of the mode powers at the output of a stepped fiber waveguide on the magnitude of its deflection. Computer Optics 2003; 25: 95-99. 
  30. Khonina SN, Volotovsky SG. Self-reproduction of multimode laser fields in weakly guiding optical fibers. Bulletin of Samara Scientific Center of the Russian Academy of Sciences 2004; 6(1): 53-64. 
  31. Karpeev SV, Pavelyev VS, Duparre M, Luedge B, Rockstuhl C, Schroeter S. DOE-aided analysis and generation of transverse coherent light modes in a stepped-index optical fiber. Optical Memory and Neural Networks 2003; 12(1): 27-34.

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