Hypergeometric-Gaussian Modes

Details Hypergeometric-Gaussian Modes Hypergeometric-Gaussian Modes

2007-12-05

arxiv.org/abs/0712.0782v1

Optics Letters, (Vol 32) Page 3053-3055 (2007)

Physics

Optics

Scientific paper

10.1364/OL.32.003053

We studied a novel family of paraxial laser beams forming an overcomplete yet nonorthogonal set of modes. These modes have a singular phase profile and are eigenfunctions of the photon orbital angular momentum. The intensity profile is characterized by a single brilliant ring with the singularity at its center, where the field amplitude vanishes. The complex amplitude is proportional to the degenerate (confluent) hypergeometric function, and therefore we term such beams hypergeometric gaussian (HyGG) modes. Unlike the recently introduced hypergeometric modes (Opt. Lett. {\textbf 32}, 742 (2007)), the HyGG modes carry a finite power and have been generated in this work with a liquid-crystal spatial light modulator. We briefly consider some sub-families of the HyGG modes as the modified Bessel Gaussian modes, the modified exponential Gaussian modes and the modified Laguerre-Gaussian modes.

Affiliated with

Also associated with

No associations

Rating

Hypergeometric-Gaussian Modes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hypergeometric-Gaussian Modes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hypergeometric-Gaussian Modes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-311252