Diffraction of an obliquely incident wave beam by a rectangular aperture

The diffraction problem of an obliquely incident wave beam on a rectangular aperture can be reduced to that of normal incidence by expressing the incident wave beam in a form convenient for the discussion of the problem. In this paper the diffraction field is obtained by using this expression. The field is then expanded into a series of beam mode functions. The expansion coefficient of the series can be expressed in a simple form. A numerical example of the coefficient is shown for the diffraction by a half plane.