In the present paper which follows our previous paper “Mathematical models for passive imaging I: general background”, we discuss the case of surface waves in a medium which is stratified near its boundary at some scale comparable to the wave length. We discuss how the propagation of such waves is governed by effective Hamiltonians on the boundary. The results are certainly not new, but we have...

Below the sill depth (at about 2400m) of the Alpha-Mendeleyev ridge complex, the waters of the Canada Basin (CB) of the Arctic Ocean are isolated, with a C isolation age of about 500 yr. The potential temperature y decreases with depth to a minimum ymE 0:524 C near 2400m, increases with depth through an approximately 300m thick transition layer to yhE 0.514 C, and then remains uniform from abou...

This study demonstrates the devil's staircase structure of topological entropy functions for one-dimensional symmetric unimodal maps with a gap inside. The results are obtained by using kneading theory and helpful in investigating the communication of chaos. Work partially supported by the NSC under Grant No. 89-2115-M-008-029 and the National Center for Theoretical Sciences Mathematics Divisio...

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Finite-difference (FD) modeling of seismic waves in the vicinity dipping interfaces gives rise to artifacts. Examples are phase and amplitude errors, as well staircase diffractions. Such errors can be reduced two general ways. In first approach, interface anti-aliased (i.e., with an step-function, or a lowpass filter). Alternatively, may replaced equivalent medium using Schoenberg \& Muir (SM) ...