“…The modern era dates from the work of Foldy (1945), Lax (1951Lax ( , 1952, Waterman and Truell (1961), and Twersky (1962). Major applications include wave propagation through suspensions (see, for example (McClements et al, 1990), (Povey, 1997), (Dukhin and Goetz, 2001), and (Spelt et al, 2001)) and through elastic composites (see (Mal and Knopoff, 1967), (Kim et al, 1995), and (Kanaun, 2000)). In this paper, we are mainly interested in twodimensional problems, motivated by the calculation of sound propagation through forests (Embleton, 1966;Price et al, 1988).…”