The angular apodization in coherent plane-wave compounding

This article describes the relation between apodization in conventional focused imaging and apodization in coherent plane-wave compounding (CPWC). We pose the hypothesis that equivalent transmit beams can be produced with both methods if the transmit apodization is adequately transformed. We derive a relation between apodization in CPWC and in synthetic transmit aperture imaging (STAI), which we argue to be equivalent to conventional optimal multifocus imaging. We find that under certain conditions, the transformation of the apodization becomes trivial and the same window used in STAI can be applied for CPWC but extended to the whole angle sequence. We test the hypothesis with in silico data and find that the transformed apodization accurately mimics the objective transmit apodization, with differences in the lateral resolution between 3% and 6%.