Closed-form, localized wave solutions in optical fiber waveguides

Ashish M. Vengsarkar, Ioannis M. Besieris, Amr M. Shaarawi, Richard W. Ziolkowski

Research output: Contribution to journalArticlepeer-review

25 Scopus citations


A novel bidirectional decomposition of exact solutions to the scalar wave equation has been shown to form a natural basis for synthesizing localized-wave (LW) solutions that describe localized, slowly decaying transmission of energy in free space. We present a theoretical feasibility study that shows the existence of LW solutions in optical fiber waveguides. As with the free-space case, these optical waveguide LW solutions propagate over long distances, undergoing only local variations. Four different source modulation spectra that give rise to solutions similar to focus wave modes, splash pulses, the scalar equivalent of Hillion's spinor modes, and the modified power spectrum pulses are considered. A detailed study of the modified power spectrum pulse is performed, the practical issues regarding the source spectra are addressed, and the distances over which such LW solutions maintain their nondecaying nature are quantified.

Original languageEnglish (US)
Pages (from-to)937-949
Number of pages13
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Issue number6
StatePublished - Jun 1992

ASJC Scopus subject areas

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


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