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Writing Bragg Gratings in Multicore Fibers
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Full vector complex coupled mode theory for tilted fiber gratings.

Yu-Chun Lu1, Wei-Ping Huang, Shui-Sheng Jian

  • 1Institute of Lightwave Technology, Key Lab of All Optical Network and Advanced Telecommunication, Beijing Jiaotong University, Beijing, China. 05111028@bjtu.edu.cn

Optics Express
|February 23, 2010
PubMed
Summary
This summary is machine-generated.

A new complex coupled mode theory (CMT) accurately analyzes tilted fiber gratings by discretizing radiation modes. This simplifies simulations of coupling to cladding and radiation modes in tilted fiber Bragg gratings (TFBGs).

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Area of Science:

  • Photonics
  • Optical Engineering
  • Computational Electromagnetics

Background:

  • Coupled mode theory (CMT) is essential for analyzing optical fiber gratings.
  • Simulating coupling to radiation modes in tilted fiber gratings (TFBGs) presents challenges.
  • Existing methods may not fully capture the behavior of continuous radiation modes.

Purpose of the Study:

  • To present a full vector complex coupled mode theory (CMT) for analyzing TFBGs.
  • To simplify the simulation of coupling to radiation modes in TFBGs.
  • To validate the effectiveness of the complex coupled mode approach for TFBGs with varying cladding indices.

Main Methods:

  • Developed a full vector complex coupled mode theory (CMT).
  • Integrated perfectly matched layer (PML) and perfectly reflecting boundary (PRB) techniques.
  • Represented continuous radiation modes as a set of discrete complex modes.
  • Simulated TFBGs with different outer-cladding refractive indices.

Main Results:

  • The complex coupled mode approach effectively represents continuous radiation modes as discrete complex modes.
  • Simulations of coupling to radiation modes are simplified and comparable to guided mode analysis.
  • Numerical results demonstrate the approach's high effectiveness for TFBGs, regardless of cladding index differences.
  • Detailed investigation of reflective TFBGs was performed using the proposed method.

Conclusions:

  • The complex coupled mode theory provides an effective framework for analyzing TFBGs.
  • This method simplifies complex optical phenomena, enabling more efficient simulations.
  • The approach is robust across various TFBG configurations, including those with differing cladding indices.