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Related Experiment Videos

Modeling considerations for rigorous boundary element method analysis of diffractive optical elements.

J M Bendickson1, E N Glytsis, T K Gaylord

  • 1School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta 30332, USA.

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
|July 11, 2001
PubMed
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Boundary element method (BEM) analysis of diffractive optical elements (DOEs) faces challenges. Using an open geometric configuration with BEM, specifically the electric-field integral equation (EFIE) formulation, overcomes common modeling issues.

Area of Science:

  • Optics and Photonics
  • Computational Electromagnetics
  • Numerical Methods

Background:

  • Diffractive optical elements (DOEs) are crucial for manipulating light.
  • Rigorous analysis of DOEs using numerical methods like the boundary element method (BEM) is essential for accurate design.
  • Existing BEM formulations can encounter numerical instabilities.

Purpose of the Study:

  • To identify and address critical modeling issues in the boundary element method (BEM) analysis of diffractive optical elements (DOEs).
  • To investigate the performance of electric-field integral equation (EFIE) and combined-field integral equation (CFIE) formulations.
  • To propose solutions for numerical instabilities encountered in BEM analysis.

Main Methods:

  • Implementation of both electric-field integral equation (EFIE) and combined-field integral equation (CFIE) formulations of the BEM.

Related Experiment Videos

  • Analysis of a guided-mode resonant subwavelength grating to illustrate numerical phenomena.
  • Modeling diffractive optical elements (DOEs) using an open geometric configuration.

    • Main Results:

    • The nonphysical interior resonance phenomenon and thin-shape breakdown were identified as critical issues in EFIE BEM analysis.
    • Modeling diffractive optical elements (DOEs) with an open geometric configuration effectively eliminates these EFIE BEM-associated problems.
    • Precautions for defining incident fields in multilayer DOE analysis were presented.

    Conclusions:

    • An open geometric configuration approach resolves critical modeling issues in BEM analysis of DOEs.
    • Careful consideration of incident fields is necessary for accurate analysis of complex, multilayer DOEs.
    • The study provides practical guidance for robust numerical simulation of diffractive optical elements.