Application of the boundary-diffraction-wave theory to gaussian beams*

General formulation of the edge-diffracted paraxial waves

“…The scattered field can be evaluated by using the scattering integral, given in Eq. (15). The incident Gaussian beam can be written as v i ðx; zÞ ¼ 1 2p…”

“…The diffraction of paraxial waves by apertures and edges has been investigated for nearly 30 years [15][16][17][18]. There are generally two methods for the solution of this type of problem.…”

Beam diffraction by a resistive half-plane

“…Although a good match is seen in the shadow region, the theoretical plot does not show the interference fringes that had to be seen in the illuminated region. Otis and co-workers used the boundary diffraction wave theory in order to examine the diffraction of a Gaussian beam [6][7][8].…”

MTPO based potential function of the boundary diffraction wave theory

“…They defined a potential function, line integration of which gives the edge-diffracted fields for a black screen. The following studies were focused on the application of the method especially on the diffraction of Gaussian beams by apertures or half-planes [6][7][8][9]. However, the works of Ganci on the diffraction of waves by a half-plane showed that the theory of the BDW leads to approximate solutions like physical optics [10,11].…”