Fourth-order Dispersion Effects Research Articles

Effects of fourth-order dispersion in very high-speed optical time-division multiplexed transmission

We present a closed-form expression for computation of the output pulse's rms time width in an optical fiber link with up to fourth-order dispersion (FOD) by use of an optical source with arbitrary linewidth and chirp parameters. We then specialize the expression to analyze the effect of FOD on the transmission of very high-speed linear optical time-division multiplexing systems. By suitable source chirping, FOD can be compensated for to an upper link-length limit above which other techniques must be employed. Finally, a design formula to estimate the maximum attainable bit rate limited by FOD as a function of the link length is also presented.

New types of stable nonlinear whistler waveguides

Abstract. The stationary self-focusing of whistler waves with frequencies near half of the electron-cyclotron frequency in the ionospheric plasma is considered in the framework of a two-dimensional generalized nonlinear Schrödinger equation including fourth-order dispersion effects and nonlinearity saturation. New types of soliton-like (with zero topological charge) and vortex-like nonlinear waveguides are found, and their stability confirmed both analytically and numerically.

Polarization modulational instability in a birefringent optical fiber with fourth order dispersion

We obtain conditions for the occurrence of polarization modulational instability in the anomalous and normal dispersion regimes for the coupled nonlinear Schrodinger equation modelling fourth order dispersion effects when the linearly polarized pump is oriented at arbitrary angles with respect to the slow and fast axes of the birefringent fiber.

Radiationless optical solitons with oscillating tails

We investigate, analytically and numerically, stationary soliton-like pulse propagation in nonlinear optical fibres, taking into account the effects of fourth order dispersion. A new type of stationary stable soliton-like solution is found. A unique feature of this type of solution is their unusual asymptotic behaviour (oscillating tails).

Modulational instability in optical fibers near the zero dispersion point

Modulational instability (MI) of electromagnetic waves in an optical fiber near the zero dispersion point is investigated both analytical and numerical. The effect of fourth order dispersion is taken into account and a new region with MI is found. The possibility of MI is shown for the case of positive second and fourth order group dispersion. For both positive and negative fourth order dispersion a recurrence phenomenon is observed analogous to the Fermi-Pasta-Ulam problem.

Ultrashort solitons at the minimum-dispersion wavelength: effects of fourth-order dispersion

The effects of fourth-order dispersion on optical-fiber-guided ultrashort solitons are examined. It is shown that the solitons decay as a result of dispersive radiation, the nature of which is analyzed. An exact pulse solution is presented, and its properties are evaluated. Finally, the combined effects of fourth-order dispersion and intrapulse Raman scattering are discussed.