Uniqueness in determining a sound-hard ball with the modulus of a far-field datum.

In this paper, various original properties of the Bessel and spherical Bessel functions are presented, based on which we prove a novel uniqueness result of an inverse acoustic obstacle scattering problem, that is, a sound-hard ball with a known center can be uniquely determined by the modulus of a single far-field datum corresponding to a single incident plane wave. [ABSTRACT FROM AUTHOR]