Wilson basis expansion of electromagnetic fields and source distributions - Wave decomposition and propagation tools for optical fibre scattering

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Abstract

The spatial and spectral confinement properties of Wilson basis functions allow for an efficient expansion of electromagnetic fields. A planar, transverse electromagnetic source distribution can be decomposed into one-way field generating distributions associated with longitudinally progressive and regressive waves with the aid of a Poincaré-Steklov operator, which is readily evaluated in a planar Wilson basis owing to the spectral confinement. The construction of a Wilson-basis propagator for an elementary propagation step is equally straightforward.A cascaded application of one-way Wilson-basis propagation steps may be performed efficiently with negligible loss of accuracy. This multi-step approach provides a computationally expedient tool for optical-fibre interconnect problems.

Original languageEnglish
Title of host publicationProceedings of the 2018 20th International Conference on Electromagnetics in Advanced Applications, ICEAA 2018
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Pages418-420
Number of pages3
ISBN (Electronic)978-1-5386-6762-0
ISBN (Print)978-1-5386-6763-7
DOIs
Publication statusPublished - 1 Nov 2018
Event20th International Conference on Electromagnetics in Advanced Applications, ICEAA 2018 - Cartagena de Indias, Colombia
Duration: 10 Sep 201814 Sep 2018

Conference

Conference20th International Conference on Electromagnetics in Advanced Applications, ICEAA 2018
CountryColombia
CityCartagena de Indias
Period10/09/1814/09/18

Keywords

  • Computational efficiency
  • Computational electromagnetics
  • Optical interconnects
  • Signal sampling

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