Gaussian, hermite-gaussian, and laguerre-gaussian beams: A primer
F Pampaloni, J Enderlein - arXiv preprint physics/0410021, 2004 - arxiv.org
arXiv preprint physics/0410021, 2004•arxiv.org
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 solution. Even special beam modes as …
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 solution. Even special beam modes as …
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 solution. Even special beam modes as the recently introduced Bessel beams are easily described within that framework.
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