Abstract
Fractal superlattices, or multilayer structures designed by alternating dielectric layers according to an iterative process, are interrogated by an electromagnetic pulse. We show that the remote extraction of their scaling properties can be achieved by applying the continuous wavelet transform to the rapidly fluctuating reflected signal by using the wavelet skeleton. For a sufficiently narrow pulse a set of particular identifiable lines of the skeleton exhibit a hierarchical structure in the time-scale domain. Such well-ordered structure reveals that some detectable singularities in the impulse response are located on the governing fractal set. Finally a wavelet-based dimension allows us to extract the similarity dimension of these Cantor superlattices from their time-domain reflection data.
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