FRACTAL SUPERLATTICES AND THEIR WAVELET ANALYSES

We theoretically investigate Canter superlattices which are interrogat ed by a normally incident pulse. Here a continuous wavelet transform i s applied to the impulse response for the remote extraction of fractal characteristics of these superlattices. When a hierarchical structure of wavelet-transform modulus maxima is revealed in scale-time domain, we show that such structure displays the construction rule of the Can ter set which governs its fractal geometry for the cases considered he re. It follows that specified singularities in the impulse response pr esent a spatial arrangement analogous to the distribution of discontin uities in the refractive index profile of the interrogated medium. The similarity dimension is extracted from the scaling properties of this wavelet analysis. (C) 1998 Elsevier Science B.V.