Beamfit: Algorithmic Wavefront Reconstruction of Laser Beams Using Multiple Intensity Images and Laguerre- or Hermite-Gaussian Basis
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866917577770401792 |
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| author | Weber, Kevin Carter, Jonathan Joseph Koehlenbeck, Sina Maria Wanner, Gudrun Heinzel, Gerhard |
| author_facet | Weber, Kevin Carter, Jonathan Joseph Koehlenbeck, Sina Maria Wanner, Gudrun Heinzel, Gerhard |
| contents | Wavefront errors are a common artifact in laser light generation and imaging. They can be described as an aberration from the spherical wavefront of an ideal Gaussian beam by combinations of higher-order Hermite- or Laguerre-Gaussian terms. Here, we present an algorithm called Beamfit to estimate the mode composition from a series of CCD images taken over the Rayleigh range of a laser beam. The algorithm uses a user-defined set of Hermite- or Laguerre-Gaussian modes as the basis of its theoretical model. A novel method reduces the number of calculations needed to compute the model's intensity profiles. For a given model containing $N$ modes, the number of Hermite-Gaussian complex amplitudes needed to calculate are reduced from orders of $\mathcal{O}(N^2)$ to $\mathcal{O}(N)$ and replaced by simple multiplications. Additionally, non-beam parameters are pre-calculated to further reduce the search space dimension and its resulting calculation time. It is planned to release the Beamfit software to the public under an open-source license. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_16486 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Beamfit: Algorithmic Wavefront Reconstruction of Laser Beams Using Multiple Intensity Images and Laguerre- or Hermite-Gaussian Basis Weber, Kevin Carter, Jonathan Joseph Koehlenbeck, Sina Maria Wanner, Gudrun Heinzel, Gerhard Computational Physics Optics Wavefront errors are a common artifact in laser light generation and imaging. They can be described as an aberration from the spherical wavefront of an ideal Gaussian beam by combinations of higher-order Hermite- or Laguerre-Gaussian terms. Here, we present an algorithm called Beamfit to estimate the mode composition from a series of CCD images taken over the Rayleigh range of a laser beam. The algorithm uses a user-defined set of Hermite- or Laguerre-Gaussian modes as the basis of its theoretical model. A novel method reduces the number of calculations needed to compute the model's intensity profiles. For a given model containing $N$ modes, the number of Hermite-Gaussian complex amplitudes needed to calculate are reduced from orders of $\mathcal{O}(N^2)$ to $\mathcal{O}(N)$ and replaced by simple multiplications. Additionally, non-beam parameters are pre-calculated to further reduce the search space dimension and its resulting calculation time. It is planned to release the Beamfit software to the public under an open-source license. |
| title | Beamfit: Algorithmic Wavefront Reconstruction of Laser Beams Using Multiple Intensity Images and Laguerre- or Hermite-Gaussian Basis |
| topic | Computational Physics Optics |
| url | https://arxiv.org/abs/2401.16486 |