What do mean by saying "fractal wave" , is this some common term? Do you mean that the major parameter of such wave-filed should be a self-similarity (spatial or temporal) ? May be it is possible at least for those spatial-temporal volumes where the fractal function is being analytic... May be it is possible to model a desired wave front corresponding to "fractal wave" and solve an inverse problem to calculate the transparency? (Apologies, if I got you wrong and my comment has nothing to do with your question)
Hello Georgey, Thanks a lot of taking time to respond. I am looking for digital or natural sources or events which can me engineered to produce waves that contain the same wave recursively ( perhaps we can call as 'self-similar' in normal fractal terms) at the same time keeping the non-linearity and fractured dimensions and ability to carry forward entropy and randomness into internal layers.