Vector analogues of the MaggiRubinowicz theory of edge diffraction
Abstract
The MaggiRubinowicz technique for scalar and electromagnetic fields is interpreted as a transformation of an integral over an open surface to a line integral around its rim. MaggiRubinowicz analogues are found for several vector physical optics representations. For diffraction from a circular aperture, a numerical comparison between these formulations shows the two methods are in agreement. To circumvent certain convergence difficulties in the MaggiRubinowicz integrals that occur as the observer approaches the shadow boundary, a variable mesh integration is used. For the examples considered, where the ratio of the aperture diameter to wavelength is about ten, the MaggiRubinowicz formulation yields an 8 to 10 fold decrease in computation time relative to the physical optics formulation.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 October 1980
 Bibcode:
 1980STIN...8112297M
 Keywords:

 Electromagnetic Fields;
 Physical Optics;
 Wavelengths;
 Field Theory (Physics);
 Communications and Radar