Decompositions in Gaussian beams by wavelet methods

E. Gorodnitskiy, M. V. Perel

Research output

Abstract

Decompositions of solutions of the wave equation in terms of localized solutions from the wide class of the same equation are constructed by means of the affine Poincaré continuous wavelet analysis. Two particular decompositions are considered. One of them is represented in terms of nonstationary particle-like solutions, the Gaussian wave packets. The another one is a decomposition of a monochromatic field in terms of monochromatic Gaussian beams. A comparison with known results is given.

Translated title of the contributionРазложения по гауссовым пучкам
Original languageEnglish
Title of host publication2017 Progress in Electromagnetics Research Symposium - Spring, PIERS 2017
EditorsWeng Cho Chew, Sailing He, Sailing He
PublisherElectromagnetics Academy
Pages1482-1487
Number of pages6
ISBN (Electronic)9781509062690
ISBN (Print)978-1-5090-6270-6
DOIs
Publication statusPublished - 2017
Event2017 Progress In Electromagnetics Research Symposium - Spring, PIERS 2017 - St. Petersburg
Duration: 21 May 201724 May 2017

Publication series

NameProgress in Electromagnetics Research Symposium
ISSN (Print)1559-9450
ISSN (Electronic)1931-7360

Conference

Conference2017 Progress In Electromagnetics Research Symposium - Spring, PIERS 2017
CountryRussian Federation
CitySt. Petersburg
Period21/05/1724/05/17

Scopus subject areas

  • Electrical and Electronic Engineering
  • Electronic, Optical and Magnetic Materials

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