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Evolution of optical pulses in the presence of third-order dispersion

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Abstract

We model the propagation of femtosecond pulses through optical fibres by a nonlinear Schrödinger (NLS) equation involving a perturbing term arising due to third-order dispersion in the medium. The perturbative effect of this higher-order dispersion causes the usual NLS soliton to emit a radiation field. As a result, the given initial pulse propagating through the fibre exhibits nonsolitonic behaviour. We make use of a variational method to demonstrate how an initial pulse by the interaction with the emitted radiation can evolve into a soliton. We also demonstrate that the effect of interaction between the initial pulse and radiation field can be accounted for by including, in the evolution equation, terms associated with self-steepening and stimulated Raman scattering that characterize the optical medium.

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Authors and Affiliations

  1. Department of Physics, Visva-Bharati University, Santiniketan, 731 235, India

    Debabrata Pal, Sk Golam Ali & B. Talukdar

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  1. Debabrata Pal
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  2. Sk Golam Ali
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  3. B. Talukdar
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Correspondence to B. Talukdar.

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Pal, D., Ali, S.G. & Talukdar, B. Evolution of optical pulses in the presence of third-order dispersion. Pramana - J Phys 72, 939–950 (2009). https://doi.org/10.1007/s12043-009-0087-7

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  • DOI: https://doi.org/10.1007/s12043-009-0087-7

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