Full-vector analysis of a realistic photonic crystal fiber

Abstract

We analyze the guiding problem in a realistic photonic crystal fiber using a novel full-vector modal technique, a biorthogonal modal method based on the nonselfadjoint character of the electromagnetic propagation in a fiber.Dispersion curves of guided modes for different fiber structural parameters are calculated along with the 2D transverse intensity distribution of the fundamental mode. Our results match those achieved in recent experiments, where the feasibility of this type of fiber was shown.

Numerical modeling of photonic crystal fibers

“…So far, various modeling methods in which not only a full-vector model but also an approximatescalar model is used have been developed such as effective index approach [5], [8], plane-wave expansion (PWE) method [9]- [12], localized-function method [13]- [16], multipole method (MM) [17]- [21], beam propagation method (BPM) [22]- [24], finite-difference method (FDM) [25], finitedifference time-domain method (FDTD) [26]- [28], boundary element method (BEM) [29], [30], and finite-element method (FEM) [31]- [54]. An approximate-scalar model is a valuable tool for aiding fabrication efforts because it is easy to use and provides good qualitative information.…”

Filter Response of Resonant Waveguide Dielectric Gratings at Plane-Wave Conical Incidence

“…The modes in the periodic regions are obtained using a vectorial modal method previously developed in [23][24][25] for one-dimensional gratings, and in [4,6] for the two-dimensional case. The mentioned technique has been extended in this contribution for considering an arbitrary number of dielectrics inside the periodic cell under conical incidence excitation.…”

Photonic Crystal Fibers

“…The full-vector plane wave expansion (PWE) method offers a very efficient and straightforward approach to model PCFs [14,15]. This method allows solving the full-vector wave equation for the magnetic field.…”