The metascreen-based acoustic passive phased array provides anew degree of freedom formanipu-latingacoustic waves due to their fascinating properties, such as afully shifting phase, keeping impedance matching, and holding subwavelength spatial resolution. We develop acoustic theories to analyze the transmission/reflection spectra and the refracted pressure fields of a metascreen composed of elements with four Helmholtz resonators (HRs) in series and a straight pipe. We find that these propertiesare also valid under oblique incidence with large angles, with the underlying physics stemming from the hybrid resonances between the HRs and the straight pipe. By imposing thedesired phase profiles, the refracted fields can be tailored in ananomalous yet controllable manner. In particular, two typesof negative refractionare exhibited,based on two distinct mechanisms: one is formed fromclassical diffraction theory and the other is dominated by the periodicity of the metascreen. Positive (normal) and negative refractions can be converted by simply changing the incident angle, with the coexistence of two typesof refractionin a certain range of incident angles. 1 2 . The symbols p i , p r , and p t represent the obliquely incident, reflected and transmitted sound waves, respectively. (b) A single HR is illustrated for the purpose of the corrected acoustic impedance of the cavity. (c) A single HR is located in front of a hard boundary (dashed line) to obtain the corrected acoustic radiation impedance at the junction between the neck and the straight pipe.New J. Phys. 18 (2016) 043024 Y Li et al