Nonperturbative modal tomography inversion. Part II. Numerical simulation

In a previous paper [Jones et al., J. Acoust. Soc. Am. 94, 2296–2302 (1993)], it has been shown that implementation of nonperturbative modal ocean acoustic tomography based on the Abel transform requires only to determine an integer Nm0 (equal to the number of convergence zones between the source and receiver) from modal travel time and modal phase difference measurements. This integer Nm0 can be estimated by using climatological data or by using a ‘‘dual point’’ measurement scheme for a range‐independent case as proposed in this paper. Numerical simulations of inversions both for a range‐independent (RI) case and a range‐dependent (RD) case are presented. Finally, the error of the Abel transform inversion is discussed.