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Journal Article

Modeling of the general astigmatic Gaussian beam and its propagation through 3D optical systems

MPS-Authors

Kochkina,  Evgenia
Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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Wanner,  Gudrun
Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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Tröbs,  Michael
Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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Heinzel,  Gerhard
Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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Citation

Kochkina, E., Wanner, G., Schmelzer, D., Tröbs, M., & Heinzel, G. (2013). Modeling of the general astigmatic Gaussian beam and its propagation through 3D optical systems. Applied Optics, 52(24), 6030-6040. doi:10.1364/AO.52.006030.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0014-46F7-F
Abstract
The paper introduces the complete model of the general astigmatic Gaussian beam as the most general case of the Gaussian beam in the fundamental mode. This includes the laws of propagation, reflection, and refraction as well as the equations for extracting from the complex-valued beam description its real-valued parameters, such as the beam spot radii and the radii of curvature of the wavefront. The suggested model is applicable to the case of an oblique incidence of the beam at any 3D surface that can be approximated by the second-order equation at the point of incidence. Thus it can be used in simulations of a large variety of 3D optical systems. The provided experimental validation of the model shows good agreement with simulations.