Acoustic Temperature Field Reconstruction Using Inverse Multiquadrics Expansion and Truncated Singular Value Decomposition

A new acoustic temperature field reconstruction algorithm is proposed. First expand the sound slowness function over a finite set of inverse multiquadrics series, and then obtain a stable solution by using truncated singular value decomposition of matrix. Reconstructions of five temperature field models by using exact and corrupted time-of-flight data demonstrate that the new algorithm has good ability in complex temperature field reconstruction.