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Related Experiment Videos

A P-matrix based model for SAW grating waveguides taking into account modes conversion at the reflection.

Marc Solal1, Vincent Laude, Sylvain Ballandras

  • 1Temex, BP 232, F-06904, Sophia Antipolis Cedex, France. marc.solal@temex.fr

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
|February 5, 2005
PubMed
Summary

A new model analyzes reflective grating wave-guiding, revealing guidance is possible even without velocity differences. This approach considers reflections in specific regions, accurately predicting guided modes and agreeing with experiments.

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Area of Science:

  • Optics and Photonics
  • Waveguide Theory
  • Computational Electromagnetics

Background:

  • Existing models for reflective grating wave-guiding include scalar waveguide theory and paraxial coupling of modes (COM) models.
  • Scalar models assume different velocities in different regions.
  • Paraxial COM models predict guidance solely from reflectivity differences, even without velocity variations.

Purpose of the Study:

  • To develop a novel approach for analyzing the wave-guiding effect in reflective gratings.
  • To investigate the conditions under which wave guidance can occur, particularly focusing on reflectivity-driven phenomena.
  • To provide a more accessible and accurate model for analyzing practical devices.

Main Methods:

  • Determining guided modes and the continuum of radiating modes.

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  • Treating reflections as occurring only in reflective regions at each period, leading to mode truncation.
  • Converting each mode into a distribution of all modes upon reflection and transmission.
  • Main Results:

    • The developed method yields dispersion curves similar to those from other researchers.
    • The results confirm the existence of guided modes even when wave velocity is identical across all regions.
    • The model demonstrates good agreement with experimental results.

    Conclusions:

    • The new model offers a simplified yet accurate method for analyzing wave-guiding in reflective gratings.
    • Reflectivity differences are sufficient to induce wave guidance, independent of velocity variations.
    • This approach facilitates the analysis of practical optical devices.