Ten lectures on wavelets
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The application of wavelets is to study the resonance characteristics of an elastic target and more specifically the leaky Lamb waves in the acoustic scattering response from a thin shell. The authors also address the application of wavelets to acoustic backscattering from submerged thin shells surrounded by dispersive scatterers, e.g., biologics. The subsonic branch of the lowest order antisymmetric leaky Lamb wave contributes strongly to the backscatter from thin spherical shells in a frequency range designated as the midfrequency enhancement. This prominent contribution in the free-field backscattering from the shell is easily isolated by wavelet decomposition. Likewise, a wavelet decomposition can extract the midfrequency enhancement in the scattered field when the shell is surrounded by a diffuse collection of non-elastic scatterers.