In this study, microwave (9.2 GHz) magnetic field radiation patterns of a horn antenna in the near-field (10 cm) and of a patch antenna in the near-field (3 mm, 2 cm) and far-field (10 cm) are measured using a Cs atomic sensor with $7\pi $ and $8~\sigma $ Zeeman double radio optical resonance (DROR) spectra at 6S1/2(F = 3, $\text{m}_{f}$ ) – 6S1/2 (F = 4, $\text{m}_{f}$ ) - 6P3/2(F = 4) transition by applying a 6 Gauss external magnetic field. Radiation patterns of a horn antenna and a patch antenna are characterized by measuring the DROR amplitude, while rotating the antennas 360 degrees relative to the atomic sensor, and the results are compared to patterns measured in the anechoic chamber using traditional methods. Radiation patterns in both polarizations are measured in a single full rotation, by measuring the $\pi $ and $\sigma $ Zeeman DROR fluorescence amplitudes at the same time. In addition, near-field microwave magnetic field radiation patterns of the patch antenna at orthogonal polarizations are measured at 3 mm distance by moving the antenna ±12.5 mm on the horizontal plane. Advantages and possible applications of small-sized atomic sensors in radiation pattern measurements at different polarizations and radiation analysis of complicated emitters such as circuit boards are discussed.