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 journalArticle

18 Citations (Scopus)

Abstract

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
Volume9
Issue number6
DOIs
StatePublished - 1992

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Optical Fibers
Optical fibers
Waveguides
optical fibers
waveguides
Power spectrum
power spectra
pulses
scalars
Feasibility Studies
Optical waveguides
Wave equations
Theoretical Models
optical waveguides
wave equations
Modulation
Decomposition
modulation
decomposition

ASJC Scopus subject areas

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

Cite this

Closed-form, localized wave solutions in optical fiber waveguides. / Vengsarkar, Ashish M.; Besieris, Ioannis M.; Shaarawi, Amr M.; Ziolkowski, Richard W.

In: Journal of the Optical Society of America A: Optics and Image Science, and Vision, Vol. 9, No. 6, 1992, p. 937-949.

Research output: Contribution to journalArticle

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