# Laguerre-Gaussian Modes of Paraxial Wave Equation

Laguerre-Gaussian Modes of Paraxial Wave Equation

Laguerre–Gaussian modes are solutions of the paraxial wave equation. They have circular symmetry and can be written in terms of the Laguerre polynomials (r), where is the radial index and is the azimuthal index.

l

L

p

p

l