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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 41, Iss. 15 — May. 20, 2002
  • pp: 2826–2830

Solution of mode coupling in step-index optical fibers by the Fokker-Planck equation and the Langevin equation

Svetislav Savović and Alexandar Djordjevich  »View Author Affiliations


Applied Optics, Vol. 41, Issue 15, pp. 2826-2830 (2002)
http://dx.doi.org/10.1364/AO.41.002826


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Abstract

The power-flow equation is approximated by the Fokker-Planck equation that is further transformed into a stochastic differential (Langevin) equation, resulting in an efficient method for the estimation of the state of mode coupling along step-index optical fibers caused by their intrinsic perturbation effects. The inherently stochastic nature of these effects is thus fully recognized mathematically. The numerical integration is based on the computer-simulated Langevin force. The solution matches the solution of the power-flow equation reported previously. Conceptually important steps of this work include (i) the expression of the power-flow equation in a form of the diffusion equation that is known to represent the solution of the stochastic differential equation describing processes with random perturbations and (ii) the recognition that mode coupling in multimode optical fibers is caused by random perturbations.

© 2002 Optical Society of America

OCIS Codes
(060.2310) Fiber optics and optical communications : Fiber optics
(060.2400) Fiber optics and optical communications : Fiber properties

History
Original Manuscript: August 23, 2001
Revised Manuscript: February 4, 2002
Published: May 20, 2002

Citation
Svetislav Savović and Alexandar Djordjevich, "Solution of mode coupling in step-index optical fibers by the Fokker-Planck equation and the Langevin equation," Appl. Opt. 41, 2826-2830 (2002)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-41-15-2826


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References

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