خود تصویربرداری قابل اندازه گیری از اندازه ی یک بعدی ترتیب فراکتال

Fresnel diffraction of one-dimensional curved fractal grating is studied, and the reduced, identified and magnified Talbot images of fractal grating are obtained by the proposed optical system. Two kinds of fractal gratings formed by adding and multiplying periodic gratings are chosen as examples. The analytic expressions of the Fresnel diffraction for one-dimensional fractal gratings are deduced, and the size-controllable self-images are predicted to appear at the modified Talbot distance. The longitudinal and transverse diffraction intensity distributions of the curved fractal gratings are simulated. The uniformity of the longitudinal diffraction carpets can be controlled by changing the system parameters, and the transverse diffraction distributions take on the compressed, exact, and magnified images of fractal grating. These size-controllable Talbot imaging of fractal grating may extend the applications of fractal grating because of the additional flexibility.