Computation of Highly Off-Axis Diffracted Fields using the Band-Limited Angular Spectrum Method with Suppressed Gibbs Related Artifacts

Konstantinos Falaggis , Tomasz Kozacki , Małgorzata Kujawińska


The angular spectrum (AS) method is a popular solution to the Helmholtz equation without the use of approximations. Modified band-limited AS methods are of particular interest for the cases of high-off-axis and large distance propagation problems, because conventional AS methods are impractical due to requirements regarding memory and computational effort. However, these techniques make use of rectangular-shaped filters that introduce ringing artifacts in the calculated field that are related to the Gibbs phenomenon. This work proposes AS algorithms based on a smooth band-limiting filter for accurate field computation as well as techniques that evaluate only nonzero components of the field. This enables accurate field calculations with an acceptable level of computational effort that cannot be offered by current AS methods reported in the scientific literature.
Author Konstantinos Falaggis (FM / IMPh)
Konstantinos Falaggis,,
- The Institute of Micromechanics and Photonics
, Tomasz Kozacki (FM / IMPh)
Tomasz Kozacki,,
- The Institute of Micromechanics and Photonics
, Małgorzata Kujawińska (FM / IMPh)
Małgorzata Kujawińska,,
- The Institute of Micromechanics and Photonics
Journal seriesApplied Optics, ISSN 1559-128X, [0003-6935]
Issue year2013
ASJC Classification3107 Atomic and Molecular Physics, and Optics
Languageen angielski
Score (nominal)30
Score sourcejournalList
ScoreMinisterial score = 30.0, 02-04-2020, ArticleFromJournal
Ministerial score (2013-2016) = 30.0, 02-04-2020, ArticleFromJournal
Publication indicators Scopus Citations = 18; WoS Citations = 17; GS Citations = 23.0; Scopus SNIP (Source Normalised Impact per Paper): 2013 = 1.573; WoS Impact Factor: 2013 = 1.649 (2) - 2013=1.676 (5)
Citation count*23 (2020-09-07)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
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