Multi-layered grating diffraction, graphical user interfaced simulation toolbox in the MATLAB® environment

Mark Auslender, Avi Bergel, Nathan Pinhas, Shlomo Hava

Research output: Contribution to journalConference articlepeer-review

10 Scopus citations


Theoretical work of our group is placed in the general frame of efforts to improve numerical performance and efficiency of rigorous coupled-wave analysis of grating diffraction. Mathematical transformation of Maxwell equations for a multi-layered structure to evolution equations in functional space is presented. By-construction numerically stable symbolic algorithm to solve these equations using the notion of in-layer scattering operator is proposed. On the base of this algorithm a toolbox for simulation of diffraction from multi-layered grating structures, implemented by a graphical user interface is developed. An example of simulation using this in-house software is exposed.

Original languageEnglish
Pages (from-to)463-473
Number of pages11
JournalProceedings of SPIE - The International Society for Optical Engineering
StatePublished - 16 Aug 2004
EventPhysics and Simulation of Optoelectronic Devices XII - San Jose, CA, United States
Duration: 26 Jan 200429 Jan 2004


  • Diffraction theory
  • Grating
  • Mode-matching methods
  • Multi-layered structure
  • S-matrix algorithm

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering


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