An inverse problem of mass resonator
Abstract
For a resonator with the capability of sensing the eigenfrequency shift caused by a single atom, detecting the position of an accreted atom is still an unsolved problem. For an accreted particle with much larger scale, the devices of detecting its position and eigenfrequency shifts are two different physical systems, which is inconvenient, timeconsuming and sometimes impossible. This study offers an approximate algorithm, which shows that the particle position can be uniquely determined by the shifts of the resonator eigenfrequencies. The computation example is presented, which shows an excellent agreement with the experimental data.