  Acoustic wave modulation plays a pivotal role in various applications,
including sound-field reconstruction, wireless communication, and particle
manipulation, among others. However, current acoustic metamaterial and
metasurface designs typically focus on controlling either reflection or
transmission waves, often overlooking the coupling between amplitude and phase
of acoustic waves. To fulfill this gap, we propose and experimentally validate
a design enabling complete control of reflected and transmitted acoustic waves
individually across a frequency range of 4 kHz to 8 kHz, allowing arbitrary
combinations of amplitude and phase for reflected and transmitted sound in a
broadband manner. Additionally, we demonstrate the significance of our approach
for sound manipulation by achieving acoustic diffusion, reflection, focusing,
and generating a two-sided 3D hologram at three distinct frequencies. These
findings open an alternative avenue for extensively engineering sound waves,
promising applications in acoustics and related fields.
