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@inproceedings{liu:ipac2021-tupab117,
author = {P. Liu and W. Li and Y.K. Wu and J. Yan},
title = {{Eigenmode Decomposition for Free-Electron Lasers Using Bayesian Analysis}},
booktitle = {Proc. IPAC'21},
pages = {1666--1669},
eid = {TUPAB117},
language = {english},
keywords = {optics, laser, FEL, simulation, distributed},
venue = {Campinas, SP, Brazil},
series = {International Particle Accelerator Conference},
number = {12},
publisher = {JACoW Publishing, Geneva, Switzerland},
month = {08},
year = {2021},
issn = {2673-5490},
isbn = {978-3-95450-214-1},
doi = {10.18429/JACoW-IPAC2021-TUPAB117},
url = {https://jacow.org/ipac2021/papers/tupab117.pdf},
note = {https://doi.org/10.18429/JACoW-IPAC2021-TUPAB117},
abstract = {{Laser beams from an optical cavity, such as free-electron laser (FEL) resonators, are typically a mixture of the cavity’s eigenmodes, such as the Hermite-Gaussian (HG) modes or Laguerre-Gaussian (LG) modes. Robust evaluation of the eigenmode spectrum of a multimode laser beam has various applications in laser development, research, and utilization. In this work, a general eigenmode decomposition method for a multimode laser beam has been developed based on Bayesian analysis. This problem is transformed into a linear system and then solved using a Gaussian probabilistic model. Using Bayesian analysis, prior knowledge about the mode content is further incorporated into the solution to improve the results for laser beams contaminated with complex disturbances. The decomposition of the beam image from the incoherent intensity addition of HG modes is discussed with different types of noise or disturbances. The simulation results have been used to show the robustness of this method. This method can be straightforwardly extended into other cases such as the wavefront decomposition into the coherent superposition of HG and LG modes.}},
}