A method for separating the acoustic field when there exist acoustic sources on both sides of the hologram surface is proposed. This method is based on the measurement of acoustic pressures using a single layer microphone array, with the sound field generated by target sources and the disturbing sources expanded in terms of the finite number of spherical wave functions in separate local coordinate systems. The measured pressures are expressed as the superposition of the two sets of expansions. By solving the coefficients associated with the expansions, the acoustic responses on the hologram surface generated only by the target source can be reconstructed and separated from the total measured acoustic pressures. The reconstruction errors are minimized by utilizing regularization methods. Numerical simulations are carried out to examine the impact of the parameters on the accuracy of reconstructions.
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