Theoretical study on dispersion compensation in air-core Bragg fibers

Abstract

Abstract:In a previous paper we developed a matrix theory that applies to any cylindrically symmetric fiber surrounded by Bragg cladding. Using this formalism, along with Finite Difference Time Domain (FDTD) simulations, we study the waveguide dispersion for the m = 1 mode in an air-core Bragg fiber and showed it is possible to achieve very large negative dispersion values (∼ -20,000 ps/(nm.km)) with significantly reduced absorption loss and non-linear effects.

Exploitation of Omnidirectional Reflectivity

“…In Tables 1, 2, and 3, we compare the solutions 7^ to (8) with the "exact" solutions to the transcendental equation (12). In each table, N denotes the number subintervals in [0,a].…”

“…Furthermore, by comparing the corresponding solutions gamma (m = 1) in each case, for example,Figures6 and ? ?,8 and 22,12 and 26 fibers with different layer thickness can confine wave in their air core more efl[iciently than those with same layer thickness.…”

“…Consider fibers with 6, 12, and 18 layers of dielectric pairs, that is, nl^^^{nHni)krf^^ where k = 6, 12,18. We assume that the high-index and low-index layers have the same thickness.…”

“…We summarize the development of integral equations and their numerical implementations in solving wave propagation in a cylindrical fiber with concentric dielectric layers. These multilayered fibers are also called Bragg fibers [12,13,15]. From preliminary computational results, we find that an air-core multilayered fiber can effectively guide wave in its air core when its total radius is a quarter of the operating wavelength.…”

Propagation Characteristics of Bragg Fiber

“…Bragg fiber modes were considered as quasi mode whose propagation constant and field distribution were found by minimizing the radiation loss [1].The rising numerical error makes the field calculation very sensitive to the propagation constants. In [4][5][6][7], the periodical cladding layers of Bragg fiber were approximated by planar Bragg stack using asymptotic approximation of Bessel function; therefore Bloch theorem [8] can be used to obtain an analytical Eigen equation. In this paper we will present the design and analysis of Bragg fiber using analytical solutions for studying different modal parameters of fiber.…”