“…Wave focusing properties of spherically focused transducers are employed in various areas of engineering and medical fields. Numerous applications of these transducers are found in optics (Li et al, 1985), underwater communication (Merkens and Oleson, 2018), structural health monitoring (Koduru and Rose, 2012), ultrasound-based surgery (Ji et al, 2008), medical imaging (Cantinotti et al, 2018; Vilkomerson et al, 1992), radiology (Kennedy, 2005; Wu and Sherar, 2002), and more. These focusing transducers take on one of two surface profiles: the spherical segment is the shape defined by cutting a sphere with a pair of parallel planes, whereas a spherical cap is the smaller part of a sphere cut by a single plane.…”