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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
, where
is the radial index and
is the azimuthal index.
Contributed by:
Enrique Zeleny
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The paraxial equation in cylindrical coordinates is given by
.
A simple separable solution can be written in the form
.
RELATED LINKS
Laguerre Polynomial
(
Wolfram
MathWorld
)
PERMANENT CITATION
Enrique Zeleny
"
Laguerre-Gaussian Modes of Paraxial Wave Equation
"
http://demonstrations.wolfram.com/LaguerreGaussianModesOfParaxialWaveEquation/
Wolfram Demonstrations Project
Published: May 6, 2014
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