Relativistic Laguerre polynomials and splash pulses

A. Torre

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

New solutions of the homogeneous wave equation of the type usually referred to as relatively undistorted waves are presented. Such solutions relate to the so-called "splash modes", from which indeed they can be generated by applying the Laguerre polynomial operator. Accordingly, the solutions here presented resort to the relativistic Laguerre polynomials - introduced about one decade ago within a purely mathematical context - which in fact appear as modulating factor of the basic "splash mode" waveform. Similar solutions of the homogeneous spinor wave equation are also suggested.
Original languageEnglish
Pages (from-to)329 - 356
Number of pages28
JournalProgress In Electromagnetics Research B
Issue number13
DOIs
Publication statusPublished - 2009
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Electrical and Electronic Engineering

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