2000 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.

IEEE Journal of Lightwave Technology
Volume 18 Number 5, May 2000

Table of Contents for this issue

Complete paper in PDF format

Influence of Core Diameter on the 3-dB Bandwidth of Graded-Index Optical Fibers

Gnitabouré Yabre Member, IEEE

Page 668.

Abstract:

The frequency response and bandwidth of multimode silica glass fibers are investigated in this paper. The theoretical model incorporates both wavelength and modal effects including power coupling from random microbends. The 3-dBo bandwidth is examined through the study of the fiber transfer function which introduces the wavelength and modal effects as two separate filter functions. The formal derivation of the chromatic transfer function is analytical. On the other hand, the modal bandwidth is obtained by numerically solving the power flow equation in the frequency domain using the Crank-Nicholson method. As an application, the transfer function is illustrated and subsequently discussed with special focus spent on analyzing the influence of the fiber size in combination with the launching conditions. We show in particular that the larger the core, the greater the bandwidth potential of the fiber when operated under selective mode excitation. Some measurements are also carried out and excellent agreement between this model and data is achieved.

References

  1. "Information Technology-Generic Cabling for Consumer Premises", ISO/IEC 11 801: 1995 (E).
  2. "Mode Scrambler Requirements for Overfilled Launching Conditions to Multimode Fibers", EIA/TIA 455-54A.
  3. D. Gloge, "Impulse response of clad optical multimode fibers", Bell Syst. Tech. J., vol. 52, pp.  801-817, 1973.
  4. R. Olshansky, "Mode coupling effects in graded-index optical fibers", Appl. Opt., vol. 14, pp.  935-945, 1975.
  5. J. Nishimura and K. Morishita, "Changing multimode dispersive fibers into single-mode fibers by annealing and guided mode analysis of annealed fibers", J. Lightwave Technol., vol. 16, pp.  991-997, 1998.
  6. Z. Haas and M. A. Santoro, "A mode-filtering scheme for improvement of the bandwidth-distance product in multimode fiber systems", J. Lightwave Technol., vol. 11, pp.  1125-1131, 1993.
  7. L. Raddatz, I. H. White, D. G. Cunningham and M. C. Nowell, "An experimental and theoretical study of the offset launch technique for the enhancement of the bandwidth of multimode fiber links", J. Lightwave Technol., vol. 16, pp.  324-331, 1998.
  8. R. Olshansky and D. B. Keck, "Pulse broadening in graded-index optical fibers", Appl. Opt., vol.  15, pp.  483-491, 1976.
  9. M. J. Adams, D. N. Payne, F. M. E. Sladen and A. H. Hartog, "Optimum operating wavelength for chromatic equalization in multimode optical fibers", Electron. Lett., vol.  14, pp.  64-66, 1978.
  10. M. J. Yadlowsky and A. R. Mickelson, "Distributed loss and their effects on time-dependent propagation in multimode fibers", Appl. Opt., vol. 32, pp.  6664-6678, 1993.
  11. S. D. Personick, "Baseband linearity and equalization in fiber optic digital communication systems", Bell Syst. Tech. J., vol. 52, pp.  1175-1195, 1973.
  12. G. Yabre, "Comprehensive theory of dispersion in graded-index optical fibers", J. Lightwave Technol., vol. 18, pp.  166-177, Feb.  2000.
  13. J. Gimlett and N. Cheung, "Dispersion penalty analysis for LED/single-mode fiber transmission systems", J. Lightwave Technol., vol. LT-4, pp.  1381-1392, 1986.
  14. E.-G. Neumann, Single-Mode Fibers, Berlin: Germany: Springer-Verlag, 1988, pp.  246-247. 
  15. D. Gloge, "Optical power flow in multimode fibers", Bell Syst. Tech. J., vol. 51, pp.  1767-1783, 1972.
  16. M. Rousseau and L. Jeunhomme, "Optimum index profile in multimode optical fiber with respect to mode coupling", Opt. Commun., vol. 23, pp.  275-278,  1977.
  17. D. Marcuse, "Coupled mode theory of round optical fibers", Bell Syst. Tech. J., vol. 52, pp.  817-843, 1973.
  18. J. N. Kutz, J. A. Cox and D. Smith, "Mode mixing and power diffusion in multimode optical fibers", J. Lightwave Technol., vol. 16, pp.  1195-1202, 1998.
  19. R. Olshansky, "Distortion losses in cabled optical fibers", Appl. Opt., vol. 14, pp.  20-21, 1975.
  20. K. Nagano and S. Kawakami, "Measurement of mode conversion coefficients in graded-index fibers", Appl. Opt., vol. 19, pp.  2426 -2434, 1980.
  21. J. Saijonmaa, A. B. Sharma and S. J. Halme, "Selective excitation of parabolic-index optical fibers by Gaussian beams", Appl. Opt., vol. 19, pp.  2442-2453,  1980.
  22. J. Saijonmaa and S. J. Halme, "Reduction of modal noise by using reduced spot excitation", Appl. Opt., vol. 20, pp.  4302 -4306, 1981.
  23. M. Rousseau and L. Jeunhomme, "Numerical solution of the coupled-power equation in step-index optical fibers", IEEE Trans. Microwave Theory Tech., vol. MTT-25, pp.  577-585, 1977.
  24. W. Hermann and D. U. Wiechert, "Refractive Index Measurement on PCVD-Bulk Material", Philips Research Laboratories, Aachen, Germany, Intern. Rep., 1988.
  25. S. D. Personick, "Time dispersion in dielectric waveguides", Bell Syst. Tech. J., vol. 50, pp.  843-859, 1971.
  26. A. F. Garito, J. Wang and R. Gao, "Effects of random perturbations in plastic optical fibers", Science, vol. 281, pp.  962-967, 1998.