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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 23, Iss. 3 — Mar. 1, 2006
  • pp: 713–722

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

Peter Török, Peter R.T. Munro, and Emmanouil E. Kriezis  »View Author Affiliations

JOSA A, Vol. 23, Issue 3, pp. 713-722 (2006)

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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.

© 2006 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(050.1960) Diffraction and gratings : Diffraction theory
(260.2110) Physical optics : Electromagnetic optics
(260.5430) Physical optics : Polarization

ToC Category:
Physical Optics

Original Manuscript: May 19, 2005
Manuscript Accepted: July 10, 2005

Peter Török, Peter R. Munro, and Emmanouil E. Kriezis, "Rigorous near- to far-field transformation for vectorial diffraction calculations and its numerical implementation," J. Opt. Soc. Am. A 23, 713-722 (2006)

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