Exact analytical solution for the vector electromagnetic field of Gaussian, flattened Gaussian, and annular Gaussian laser modes

Scott M. Sepke, Donald P. Umstadter

Research output: Contribution to journalArticlepeer-review

26 Scopus citations

Abstract

The exact vector integral solution for all the electromagnetic field components of a general flattened Gaussian laser mode is derived by using the angular spectrum method. This solution includes the pure and annular Gaussian modes as special cases. The integrals are of the form of Gegenbauer’s finite integral and are computed analytically for each case, yielding fields satisfying the Maxwell equations exactly in the form of quickly converging Fourier–Gegenbauer series.

Original languageEnglish (US)
Pages (from-to)1447-1449
Number of pages3
JournalOptics Letters
Volume31
Issue number10
DOIs
StatePublished - 2006

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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