Full-wave finite-difference time-domain analysis of a lossless acoustic cloak with complementary media is studied for bipolar cylindrical geometry. The material parameters for the acoustic cloak are obtained by comparing two-dimensional Maxwell's equations in the transverse magnetic polarization and acoustic field equations for general curvilinear coordinates. The permittivity and permeability tensors for the corresponding electromagnetic fields are then obtained by using an effective medium approach in general relativity. The complementary media cancels the phase vectors across the boundaries of the illuminated acoustic waves. It is shown that for the lossless cloak the broadband and illumination direction independent cloaking can be achieved with the proposed structure.

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