Abstract: In this paper, three fast near-field measurement methods for one-dimensional (1D) linear antenna arrays are studied, in which only two-dimensional (2D) near-field scanning data are used to extrapolate single-cut far-field patterns of the linear arrays. These three single-cut near-field pattern measurement methods include the plane/cylindrical wave spectral expansion method, the equivalent source solution method and the multipole plane wave expansion method. For the amplitude errors existing in the 2D Green′s function in the single-cut pattern measurements, an amplitude error compensation method is proposed, and the amplitude measurement errors in the far-field patterns obtained by the extrapolation transformation from the original near-field data can be significantly reduced. Simulated near and far field data of the 1D low-sidelobe linear antenna array are used to verify effectiveness of the proposed method, and pros as well as cons of three different extrapolation methods are compared and analyzed by using some simulated examples. Among them, the equivalent source expansion method and the multipole plane wave expansion method, both of which are based on computational electromagnetics, can be widely used in many application scenarios for measuring single-cut far-field patterns of the 1D linear antenna arrays, due to their advantages such as significantly reduced sampling points, no data truncation effects, and flexible sampling locations.