Effect of wavelength dependence of nonlinearity, gain, and dispersion in photonic crystal fiber amplifiers

Abstract

Photonic crystal fibers are used in fiber amplifiers and lasers because of the flexibility in the design of mode area and dispersion. However, these quantities depend strongly on the wavelength. The wavelength dependence of gain, nonlinearity and dispersion are investigated here by including the wavelength dependence explicitly in the nonlinear Schrödinger equation for photonic crystal fibers with varying periods and hole sizes. The effect of the wavelength dependence of each parameter is studied separately as well as combined. The wavelength dependence of the parameters is shown to create asymmetry to the spectrum and chirp, but to have a moderating effect on pulse broadening. The effect of including the wavelength dependence of nonlinearity in the simulations is demonstrated to be the most significant compared that of dispersion or gain.

Experimental demonstration of very high negative chromatic dispersion dual-core photonic crystal fiber

“…Very high negative chromatic dispersion [−2200 ps/(nm km)] is obtained with pure silica PCF because the air-silica structure of PCF can have much larger refractive modulation [2]. Subsequently, the dual-core PCFs with the potential for very large negative dispersion have been studied comprehensively [2][3][4]. Here we propose the theoretical design considerations of a dispersion-compensating photonic crystal fiber (DCPCF) when the design is to be applied to the practical drawing fabrication.…”

Comparative study of numerical methods used in modeling of photonic crystal fibers

“…The effective index n eff = θ/k 0 is a common parameter describing the propagation of the optical field through an optical fiber [8]. Among other interesting parameters we could find the waveguide dispersion parameter [9–11]: the nonlinear coefficient: where n 2 is the intensity dependent refractive index intrinsic to the materia land the the effective area of the propagating mode is: where I ( r ) is the intensity of the studied field.…”

High nonlinear photonic crystal fiber and its supercontinuum spectrum

“…The relations among the nonlinear coefficient c, nonlinear refractive index and effective area of optical fibers could be formulated in the following equation [15][16][17][18][19]:…”