Hypergeometric-Gaussian modes are paraxial wave modes with cylindrical symmetry. The complex amplitude involves a confluent hypergeometric function and a gamma function. Such modes are of importance in laser beam optics.
THINGS TO TRY
Rotate and Zoom in 3D
In cylindrical coordinates, the paraxial equation is
and its solutions are of the form
Wolfram Demonstrations Project
Published: April 29, 2014
Embed Interactive Demonstration
More details »
Download Demonstration as CDF »
Download Author Code »
More by Author
Ann Williamson and Donald Barnhart (Optica Software, a division of iCyt™ Mission Technology)
Stokes Parameters for the Superposition of Two Slightly Noncollinear Light Beams with Orthogonal Polarizations
B. M. Rodríguez-Lara and I. Ricardez-Vargas
Understanding Polarization with an Analogy
Newton's Color Wheel
Laws of Reflection
Cylindrical Waves Passing through a Double Slit
Core Intensity Profiles for Linearly Polarized Modes in Optical Fibers
Laguerre-Gaussian Modes of Paraxial Wave Equation
Canonical Integrals for Diffraction Catastrophes
Browse all topics
The #1 tool for creating Demonstrations
and anything technical.
Explore anything with the first
computational knowledge engine.
The web's most extensive
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
STEM Initiative »
Programs & resources for
educators, schools & students.
Join the initiative for modernizing
Step-by-step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in Step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
© 2016 Wolfram Demonstrations Project & Contributors |
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have