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To our knowledge, this is the first cloak simulation carried out by the time-domain finite element method.
The first cloak the scientists tested was a clear hexagonal device that was placed in a tank of water containing a goldfish.
Whereas the first cloak was a circular shield that ferried microwaves around something inside it, Zhang's cloak is a so-called carpet cloak.
"This to our knowledge is the first cloak that really addresses getting the transformation exactly right to get you that perfect invisibility," Prof Smith told BBC News.
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As for when the first cloaks could hit the water, he speculates that it will take at least 5 years of basic research and development to get a working prototype.
The second cloak was designed to hide objects from a person stood directly in front or behind.
In summary, we have demonstrated the first macroscopic cloak operating at visible frequencies, which transforms a deformed mirror into a flat one from all viewing angles.
"I am sure that we shall not have long to wait," says John Pendry, a professor of theoretical solid-state physics at Imperial College London, who designed the materials used by Duke researchers to make the first invisibility cloak.
The design of the cloaking materials, published in the New Journal of Physics, shows that making an acoustic shield "can be done in a straightforward and simple way," says Steven Cummer, an electrical engineer at Duke University who was involved in the construction of the first light cloak in 2006.
Only a few months later, the team demonstrated the first such cloak, designed to operate at microwave frequencies.
Smith and his laboratory used this principle to create the world's first cloaking device that bends electromagnetic waves around an object held within.
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