The Discrete Error Analysis of GREEN’s Function Sampled in Real Space
During the near-field acoustic holographic reconstruction, there will be error which make the reconstruction uncertain in sampling GREEN’s function in real space. The magnitude of discrete error lies on the size of sampling interval and the change rate of GREEN’s function. The longer interval, the greater error. The faster change rate, the greater error. Because the GREEN’s function is sensitive to the reconstruction distance and the reconstruction frequency and change with direct ratio and inverse ratio, the discrete error is with direct ratio to the reconstruction frequency and with inverse ratio the reconstruction distance.
Ran Chen and Wen-Pei Sung
T. Bo and X. Yu, "The Discrete Error Analysis of GREEN’s Function Sampled in Real Space", Advanced Materials Research, Vols. 393-395, pp. 424-427, 2012