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Nonlinear Thomson scattering of an electron motion in a combining fieldconstituted by an elliptically polarized laser and a background magnetic fieldis investigated. The dependence of the electron trajectories, the fundamentalfrequency, the maximum radiation power in spatial distribution andcorresponding spatial angle on ellipticity are obtained. In addition, we findthat the angular distributions of scattering spectra with respect to theazimuthal angle exhibits the symmetry no matter what the order of harmonics,the laser intensity, the magnetic resonance parameter and the initial axialmomentum are. Meanwhile, the polar angle distribution of the spectra approachesmore and more the laser propagation direction with the laser intensity, themagnetic resonance parameter and the initial axial momentum. The maximumradiated power increases and the corresponding polar angle decreases. Theoptimal angle for the maximum radiated power per unit of solid, thecorresponding photon number and the photons brightness can be obtained, whichimplies that the high quality XUV or/and x-ray can be generated by the studiedscheme when the suitable parameters are chosen.

Angular distributions of nonlinear Thomson scattering in combining field with a general elliptically polarized laser and a background magnetic field