The conventional Green’s function introduced for an unbounded medium and applied in domains with complex boundaries may contain physically unfeasible components. These components would not be observed in an experimental study and thus lead to misinterpretation of the wavefield structure. Recently the feasible Green’s function has been introduced as the superposition of the conventional Green’s function and cascade diffraction. Cascade diffraction compensates for the unfeasible parts of the conventional Green’s function and takes into account the actual shape of the boundaries. We represent a new highly-optimized TWSM algorithm for modeling the double-diffraction approximation of the cascade diffraction in terms of unsparse propagation-absorption matrices. Accuracy, stability and efficiency of the algorithm are illustrated by numerical examples for an acoustic half-space with a W-shaped boundary.


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