Rigorous near- to far-field transformation for vectorial diffraction calculations and its numerical implementation

Peter Török, Peter R.T. Munro, Emmanouil Kriezis

Research output: Contribution to journalArticlepeer-review

31 Citations (Scopus)

Abstract

A rigorous method for transforming an electromagnetic near-field distribution to the far field is presented. We start by deriving a set of self-consistent integral equations that can be used to represent the electromagnetic field rigorously everywhere in homogeneous space apart from the closed interior of a volume encompassing all charges and sinks. The representation is derived by imposing a condition analogous to Sommerfeld's radiation condition. We then examine the accuracy of our numerical implementation of the formula, also on a parallel computer cluster, by comparing the results with a case when the analytical solution is also available. Finally, an application example is shown for a nonanalytical case.

Original languageEnglish
Pages (from-to)713-722
Number of pages10
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Volume23
Issue number3
DOIs
Publication statusPublished - Mar 2006
Externally publishedYes

ASJC Scopus Subject Areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Computer Vision and Pattern Recognition

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