Abstract
Various sample effective sound velocity profiles [E. R. Floyd, J. Acoust. Soc. Am. 60, 801–809 (1976)] for representative hypothetical sound velocity profiles are generated exactly albeit numerically. These various effective sound velocity profiles exhibit their dependence upon the constant of the motion (i.e., the vertex velocity), source frequency, and the source depth. Even for isotropic sound velocity profiles, the existance of a finite velocity gradient is sufficient to induce a constant‐of‐the‐motion dependence in the effective sound velocity profile. Any dependence upon the constant of the motion represents an anisotropic effective sound velocity profile. All effective sound velocity profiles exhibit the vertex point receding to infinite depth (flat‐earth assumption) which manifests the nodal characteristic of the singularity of the nonlinear differential equation that specifies the effective sound velocity profile. The behavior of the frequency dependence manifests an asymptotic approach to geomet...
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