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Waveguide taper engineering using coordinate transformation technology.

Paul-Henri Tichit1, Shah Nawaz Burokur, André de Lustrac

  • 1Institut d'Electronique Fondamentale, Univ. Paris-Sud, CNRS, UMR 8622, Orsay cedex, France. paul-henri.tichit@u-psud.fr

Optics Express
|February 23, 2010
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Summary

This study introduces spatial coordinate transformations for designing electromagnetic structures, enabling tapers between different waveguides using metamaterials. Finite element simulations validate the proposed designs for practical applications.

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Area of Science:

  • Electromagnetics
  • Materials Science
  • Computational Physics

Background:

  • Designing complex electromagnetic structures often requires advanced techniques.
  • Spatial coordinate transformations offer a powerful mathematical framework for electromagnetic design.
  • Waveguide transitions are crucial components in various electromagnetic systems.

Purpose of the Study:

  • To explore the application of spatial coordinate transformations for designing waveguide tapers.
  • To investigate three specific spatial coordinate transformations for this purpose.
  • To identify achievable material properties (permittivity and permeability) using existing metamaterials.

Main Methods:

  • Definition and analysis of three spatial coordinate transformations.
  • Parametric study of the transformations.
  • Proposal of permittivity and permeability values realizable with metamaterials.
  • Finite element numerical simulations for performance validation.

Main Results:

  • Demonstrated feasibility of designing waveguide tapers using the proposed transformations.
  • Identified specific, achievable permittivity and permeability values for metamaterial implementation.
  • Numerical simulations confirmed the effective performance of the designed structures.

Conclusions:

  • Spatial coordinate transformations are effective tools for designing electromagnetic waveguide tapers.
  • The proposed method allows for the integration of different waveguides using existing metamaterials.
  • This approach offers a viable pathway for creating novel electromagnetic devices.