Boundary diffraction waves at multiple Fresnel-Kirchhoff diffraction

Abstract

The theory of boundary diffraction wave is generalized to the case of multiple Fresnel-Kirchhoff diffraction on several sequentially situated holes (screens). The generalized boundary wave is the sum of boundary diffraction waves with different multiplicities described by integrals whose maximal multiplicity is equal to the number of obstacles. It is shown that the proposed generalized boundary wave method provides a multiple time gain in calculations, as compared to the aperture integration method. Results of numerical calculations agree with experimental dependences.