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Noise e ects induced by elongation have to be considered globally in a multi-channel tomographic reconstruction analysis. Such an analysis allows a fine esti mation of performance and to compare launching op- tions. We developed a modal LGS tomographic code based on pseudo-analytical matrix formalism. This modal analysis is computing and memory intensive. Therefore we limit the simulation to downscaled cases with di- ameters ranging from D = 4 to 21 m. We also limit the number of turbulent layers to a few equivalent layers. Including spot elongation and Rayleigh fratricide e ect, when considering a global tomographic reconstruction, edge launching gives lightly better performance and limits the risk of possible underestimation of fratricide scatter .

Shack-Hartmann tomographic wavefront reconstruction using LGS: analysis of spot elongation and fratricide effect