dorsal/arxiv
View SchemaGaussian, Hermite-Gaussian, and Laguerre-Gaussian beams: A primer
| Authors | Francesco Pampaloni, Joerg Enderlein |
|---|---|
| Categories | |
| ArXiv ID | physics/0410021 |
| URL | https://arxiv.org/abs/physics/0410021 |
Abstract
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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"abstract": "The paper aims at presenting a didactic and self-contained overview of\nGauss-Hermite and Gauss-Laguerre laser beam modes. The usual textbook approach\nfor deriving these modes is to solve the Helmoltz electromagnetic wave equation\nwithin the paraxial approximation. Here, a different technique is presented:\nUsing the plane wave representation of the fundamental Gaussian mode as seed\nfunction, all higher-order beam modes are derived by acting with differential\noperators on this fundamental solution. Even special beam modes as the recently\nintroduced Bessel beams are easily described within that framework.",
"arxiv_id": "physics/0410021",
"authors": [
"Francesco Pampaloni",
"Joerg Enderlein"
],
"categories": [
"physics.optics"
],
"title": "Gaussian, Hermite-Gaussian, and Laguerre-Gaussian beams: A primer",
"url": "https://arxiv.org/abs/physics/0410021"
},
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