Focal shift in vector Mathieu-Gauss beams
Related Experiment Video
Updated: Jul 4, 2026

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
Published on: January 28, 2019
Raul I Hernandez-Aranda1, Julio C Gutiérrez-Vega
1Photonics and Mathematical Optics Group, Tecnológico de Monterrey, Monterrey, México 64849. raul.aranda@itesm.mx
Abstract:
The three dimensional distribution of focused vector Mathieu-Gauss beams (vMG) is studied in the vicinity of the geometrical focus of an unapertured thin lens. We adopt two different intensity based criteria for defining the actual focus. Our analysis confirms the existence of a focal shift towards the lens for this type of beams. The dependence of the focal shift on the different parameters of the beams is discussed in detail. Beams with different states of polarization are studied as well, and it is shown that the focal shift is independent of the polarization.
Related Concept Videos
Lines in Space
Gauss's Law: Planar Symmetry
Gauss's Law
Gauss's Law: Cylindrical Symmetry
Plane Electromagnetic Waves I
The EM field is assumed to be a...
Gauss's Law: Spherical Symmetry

