Full-vector analysis of photonic crystal fiber and 2D plane photonic crystals waveguides by finite difference method

Yumin Liu; Zhongyuan Yu

doi:10.1117/12.636155

5 December 2005 Full-vector analysis of photonic crystal fiber and 2D plane photonic crystals waveguides by finite difference method

Yumin Liu, Zhongyuan Yu

Author Affiliations +

Proceedings Volume 6020, Optoelectronic Materials and Devices for Optical Communications; 60200V (2005) https://doi.org/10.1117/12.636155
Event: Asia-Pacific Optical Communications, 2005, Shanghai, China

Abstract

An important class of optical waveguides are those refractive index profile is not continuous, such as Bragg fiber, photonic crystal fiber and 2-D photonic crystal waveguides. These microstructure fibers and waveguides become more and more important in the future optical devices for their novel and spurious optical characteristics. To give a full understand of these devices, the exact mode fields solver is very critical. In this paper, we use the full-vector finite difference approach free of spurious modes to solve mode field characteristics of the photonic crystal and 2-D plane photonic crystal waveguides. The photonic band structures within an irreducible Brillouin zone are investigated for both in plane and out plane propagation. The out of plane propagation can be used for the photonic crystal fiber. The coupled difference equations are in terms of the transverse magnetic filed components. Based on the appropriate transparent boundary conditions, a unique set of couple five-point difference equation are developed, and an efficient numerical technique to solve the deterministic equations by the Eispark in Matlab. For the in plane propagation, the guides mode are either TE or TM modes, the difference equations are uncoupled. Using the appropriate period boundary condition and combined with the transparent boundary condition, we derived the five point difference equations that can be used for the 2-D plane photonic crystal waveguides. Based on these finite difference equations, we analyzed the optical mode field characteristics of the crystal fiber and the plane optical crystal waveguides. The filling materials either dielectric or air are also analyzed. Good agreements are obtained compared the numerical results with the experiment data and the published literature. The mode fields' solver can also be used for the other waveguides such as Bragg fibers.

Citation Download Citation

Yumin Liu and Zhongyuan Yu "Full-vector analysis of photonic crystal fiber and 2D plane photonic crystals waveguides by finite difference method", Proc. SPIE 6020, Optoelectronic Materials and Devices for Optical Communications, 60200V (5 December 2005); https://doi.org/10.1117/12.636155

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