Alternative formulation for invariant optical fields: Mathieu beams

  • Gutiérrez-Vega J
  • Iturbe-Castillo M
  • Chávez-Cerda S
  • 108


    Mendeley users who have this article in their library.
  • 332


    Citations of this article.


Based on the separability of the Helmholtz equation into elliptical cylindrical coordinates, we present another class of invariant optical fields that may have a highly localized distribution along one of the transverse directions and a sharply peaked quasi-periodic structure along the other. These fields are described by the radial and angular Mathieu functions. We identify the corresponding function in the McCutchen sphere that produces this kind of beam and propose an experimental setup for the realization of an invariant optical field.

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document


  • Julio C. Gutiérrez-Vega

  • M. D. Iturbe-Castillo

  • Sabino Chávez-Cerda

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free