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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 20, Iss. 12 — Dec. 1, 2003
  • pp: 2523–2533

Pulse distortion in optical fibers and waveguides with arbitrary chromatic dispersion

José Capmany, Daniel Pastor, Salvador Sales, and Miguel A. Muriel  »View Author Affiliations


JOSA B, Vol. 20, Issue 12, pp. 2523-2533 (2003)
http://dx.doi.org/10.1364/JOSAB.20.002523


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Abstract

We present a complete end-to-end characterization of Gaussian pulse propagation through optical fibers and waveguides with an arbitrary dispersion profile. Our model takes into account the possible chirping of the source and it also encompasses the influence of the source linewidth. We modeled the arbitrary dispersion by taking as much of the coefficients from the Taylor series representing the fiber and waveguide propagation constant as desired. The model is used to study the impact of higher-order dispersion terms in the propagated pulse shape and rms time width. Also outlined are applications to the calculation of capacity limits in optical communications systems limited by high-order dispersion terms and to other fields such as the calculation of aberrations in temporal imaging systems and spatial diffraction.

© 2003 Optical Society of America

OCIS Codes
(060.2330) Fiber optics and optical communications : Fiber optics communications
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons
(320.2250) Ultrafast optics : Femtosecond phenomena
(320.5540) Ultrafast optics : Pulse shaping

Citation
José Capmany, Daniel Pastor, Salvador Sales, and Miguel A. Muriel, "Pulse distortion in optical fibers and waveguides with arbitrary chromatic dispersion," J. Opt. Soc. Am. B 20, 2523-2533 (2003)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-20-12-2523


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References

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  22. We omit in the description of this model the spatial profile e(x, y) of the fundamental mode because it is not relevant for the discussion.
  23. We use the commonly accepted terminology on dispersion by which β2 is responsible for the fiber first-order dispersion and β3 is responsible for the fiber second-order dispersion. Thus, in general, βk is responsible for the k th-order to first-order dispersion. Note that with this terminology the odd dispersion orders correspond to β2, β4, β6 ... and the even to β3, β5, β7 ... .
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  27. The reader is warned again about the fact that the end-to-end (input-to-output electrical signals) propagation system is not linear. Linearity is achieved only for electric fields within the fiber and waveguide that is closed by two nonlinear operations: The input electrical field is proportional to the square root of the input electrical signal, and the output electrical signal is proportional to the square of the output electrical field.
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