International Journal of Physics | Vol. 2, No. 10, October 2011 | pp. 76–83
DOI: 10.46882/2011/IJP/000022
Article Type: Original Research Paper
Title: Soliton Solutions and Pulse Compression Dynamics in Highly Non-Linear Photonic Crystal Fibers
Names of Authors: A. E. Egbe¹, J. M. Harrison²
Authors’ Affiliations: ¹Department of Physics, University of Uyo, Uyo, Nigeria; ²School of Physics and Astronomy, University of Southampton, Southampton, UK
Abstract: Photonic crystal fibers (PCFs) offer unprecedented control over chromatic dispersion and non-linear optical interactions, making them ideal media for generating ultra-short optical pulses and supercontinuum fields. This paper presents an analytical and numerical investigation into the propagation of higher-order optical solitons and adiabatic pulse compression within a tailored silica PCF. The pulse dynamics are modeled by solving the generalized non-linear Schrodinger equation (GNLSE) using the split-step Fourier method. The simulation tracks 100-femtosecond pulses at a central operating wavelength of 1550 nm propagating through a fiber with a zero-dispersion wavelength designed at 1420 nm. Our numerical results show that tailoring the air-hole diameter over a fiber length of 2.5 meters triggers clean compression, reducing the pulse duration from 100 fs to a compressed minimum of 12 fs. This compression is accompanied by a twelve-fold increase in peak optical power without generating significant pedestal noise. We evaluate the disruptive impacts of higher-order Raman scattering and self-steepening, which induce a soliton self-frequency shift of 45 nm. These findings offer practical design equations for developing compact, fiber-based femtosecond laser sources for multi-photon biological imaging applications.
Keywords: Photonic crystal fibers; Optical solitons; Pulse compression; Non-linear Schrodinger equation; Split-step Fourier method; Raman scattering; Soliton self-frequency shift; Femtosecond lasers.
Manuscript Timeline: Received: July 08, 2011; Revised: August 19, 2011; Accepted: September 12, 2011; Published: October 03, 2011.
Citation: Egbe, A. E., & Harrison, J. M. (2011). Soliton Solutions and Pulse Compression Dynamics in Highly Non-Linear Photonic Crystal Fibers. International Journal of Physics, 2(10), 76–83.
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