The application of BDW method to the plane diffraction problem from PEC half plane

ABSTRACTTHE APPLICATION OF BDW METHOD TO THE PLANE WAVEDIFFRACTION PROBLEMAli, AyshaDiffraction is a phenomenon by which wavefronts of propagating waves bend inthe neighborhood of obstacles. Diffraction around apertures is describedapproximately by the diffraction wave method. Diffraction problems are among thedifficult encountered in optics, and exact rigorous solutions are quite rare.A new procedure for calculating the scattered fields from a perfectly conductingbody is introduced. The boundary diffraction wave method is used to evaluate thescattered field at an observation point after a certain obstacle with an aperture. Thescattered field is combination of the diffracted and transmitted fields. The diffractedfield is originated from the boundary of the aperture whereas the transmitted fieldoriginates from the aperture itself.The boundary diffraction wave method defines a new vector potential which isassociated with any incident scalar wave field, and the integral of this vector potentialexpressing the field scattered by a perfect conducting screen with an aperture whosedimensions are larger than the wavelength. The Helmholtz-Kirchhoff formula isexpressed in terms of the new vector potential to evaluate the disturbance, fromcertain points Q on a surface S, at an observation point. The method demands that thelocation of the point Q always depends on the location of the observation point.