Analytical solutions for the electromagnetic fields of flattened and annular Gaussian laser modes. II. Large F-number laser focusing

Scott M. Sepke, Donald P. Umstadter

Research output: Contribution to journalArticle

4 Scopus citations


A spherical Hankel function series solution for the vector components of a general flattened Gaussian laser field is derived, based on the angular spectrum of plane waves. This perturbative series is valid for spot sizes greater than ten wavelengths, creating a complete vector solution for a general flattened Gaussian laser profile for all focusing conditions when coupled to the model developed in Part I of this investigation [J. Opt. Soc. Am. B 23, 2157 (2006)]. The focusing and propagation properties of these fields are then explored numerically. Finally, the exact solution is compared to the perturbative Hermite-Gaussian (0,0) laser mode by comparing the focal plane boundary conditions imposed in each and is found to be a separate and distinct solution under tight focusing conditions.

Original languageEnglish (US)
Pages (from-to)2166-2173
Number of pages8
JournalJournal of the Optical Society of America B: Optical Physics
Issue number10
Publication statusPublished - Oct 2006


ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Atomic and Molecular Physics, and Optics

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