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Writing Bragg Gratings in Multicore Fibers

Writing Bragg Gratings in Multicore Fibers

Published on: April 20, 2016

Fast modal method for subwavelength gratings based on B-spline formulation.

Patrick Bouchon¹, Fabrice Pardo, Riad Haïdar

¹Laboratoire de Photonique et de Nanostructures (LPN-CNRS), Route de Nozay, 91460 Marcoussis, France.

Journal of the Optical Society of America. A, Optics, Image Science, and Vision

|April 3, 2010

Summary

This study introduces a B-spline modal method for analyzing complex layered structures. The novel approach efficiently computes eigenmodes by leveraging sparse matrices derived from B-spline field approximation, improving computational speed.

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Area of Science:

Optics and Photonics
Computational Electromagnetics

Background:

Analyzing complex layered structures is crucial in optics and photonics.
Existing methods may face computational challenges with intricate designs.

Purpose of the Study:

To develop an efficient B-spline modal method for analyzing stacks of complex structured layers.
To improve the computational speed of eigenmode analysis.

Main Methods:

Utilizing B-spline approximation for the electromagnetic field.
Solving Maxwell's equations via the scattering matrices algorithm.
Employing sparse matrices for accelerated eigenmode computation.

Main Results:

Demonstrated good convergence of the B-spline modal method.
Achieved significantly faster computation of eigenmodes due to sparse matrices.
Presented a technique for cleaning inverted sparse matrices.

Conclusions:

The B-spline modal method offers an efficient and accurate approach for analyzing complex layered optical structures.
The use of B-spline approximation and sparse matrices enhances computational performance.