Numerically extrapolated discrete layer-peeling algorithm for synthesis of nonuniform fiber Bragg gratings

Area of Science:

• Photonics and Optical Engineering
• Computational Electromagnetics
• Materials Science

Background:

• Nonuniform fiber Bragg gratings (FBGs) are crucial optical components requiring accurate synthesis methods.
• Traditional discrete layer-peeling algorithms (DLPA) face a trade-off between discretization accuracy and computational complexity.
• Small discretization steps, needed for high accuracy in DLPA, lead to prohibitive computational costs.

Purpose of the Study:

• To introduce a novel, computationally efficient, and highly accurate method for synthesizing nonuniform FBGs.
• To address the inherent limitations of the conventional discrete layer-peeling algorithm (DLPA).
• To resolve the accuracy-complexity trade-off in FBG synthesis using DLPA.

Main Methods:

• Development of a numerically extrapolated time domain discrete layer-peeling algorithm (ETDLPA).
• Utilizing numerical extrapolation to enhance the accuracy of the discrete model.
• Implementing an iterative approach where each extrapolation depth increases accuracy order.

Main Results:

• The proposed ETDLPA achieves significantly higher accuracy compared to the conventional time domain DLPA (TDLPA), often by an order of magnitude or more.
• ETDLPA demonstrates minimal computational overhead, maintaining efficiency despite enhanced accuracy.
• The accuracy improvement is directly correlated with the depth of numerical extrapolation applied.

Conclusions:

• ETDLPA offers a more accurate and computationally efficient methodology for nonuniform FBG synthesis than TDLPA.
• The numerical extrapolation technique effectively mitigates the discretization error in DLPA.
• This advancement provides a practical solution for high-fidelity FBG fabrication.