1 Gaussian , Hermite-Gaussian , and Laguerre-Gaussian beams : A primer

@inproceedings{Pampaloni20041G,
  title={1 Gaussian , Hermite-Gaussian , and Laguerre-Gaussian beams : A primer},
  author={F. Pampaloni and J{\"o}rg Enderlein},
  year={2004}
}
The paper aims at presenting a didactic and self-contained overview of Gauss-Hermite and Gauss-Laguerre laser beam modes. The usual textbook approach for deriving these modes is to solve the Helmoltz electromagnetic wave equation within the paraxial approximation. Here, a different technique is presented: Using the plane wave representation of the fundamental Gaussian mode as seed function, all higher-order beam modes are derived by acting with differential operators on this fundamental… CONTINUE READING

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