On the integral upper limit in the Laplace transform formulation for evaluating the half-space Green's function over an extended reacting plane

Th e Laplace transform formulation proposed by Di and Gilbert [J. Acoust. Soc. Am. 93, 714-720 (1993)] is an efficient and accurate method for calculating the half-space Green's function. However, the integral upper limit required in this formulation has not been examined in the context of an extended reacting reflecting plane, which is a critical parameter influencing both the accuracy and efficiency of the formulation. In this article, the Laplace transform formulation is further explored, and a novel method is proposed for identifying the integral upper limit, which is verified through numerical studies.