FRAUNHOFER-DIFFRACTION FROM APERTURES BOUNDED BY REGULAR FRACTALS

Some properties of fields diffracted in the Fraunhofer region by apert ures bounded by regular fractals are investigated. A recursion relatio n describing such apertures is introduced and the associated relation in the Fourier transform domain is described. For a triadic Koch apert ure whose edge has the fractal dimension of D-s = 1.262, the recursion relation is numerically evaluated. Self-similar structures of intensi ty distributions in the Fraunhofer region are verified for the present objects. The relationship of the fractal dimension D, of the fractal edge with the power-law decay of the Fraunhofer diffraction intensitie s is also verified.