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E - Bibliothèque et Archives Canada

E - Bibliothèque et Archives Canada

Hd Is the total

Hd Is the total diffracteci field by edge A and edge B induding mulople diffractions. Position along the x axis (with A as the origin) is denoted by p. a) Geornetrical ontics fields: -On the upper surface H' = e lkp - 9' Jb- qr' and ~ ' = e -On the lamr surface H' = Hf = O b) Diffracteci fields : The difhacted fields are genemted by the diftaction of the incident field by edges A and 6 and conmquently by addiüonal multiple diffractions of the diplradexi fields themelves. The formulation of multiple diffractions is based on the consistent" principk [19]. In other words, the folldng fields (ready to be dimacted) are existent at the edges: an incident field. a multiple diffraction field cornponant coming to the edge fmm the upper side and another one from the lower side. If wa define the fdldng: H; = Total of fields generated by multiple diffractions only coming towads edge A from the upper side at grazing incidence Hi = Total of fields generated by multiple diffractions coming towards edge A from the lower side at grazing incidence Hi = Total of fields generated by mulaple diffractions onlx coming mm the upper side towaids edge B at gratin9 incidence. Hg = Total of fields generated by mlopla dilbcüons only caming tram the 1-r side towards .dg8 B at grazing incidence. H: = Incident field at A (Unit magnitude).

Hi = incident field at B = (e -J~P er PI) 'p = Distance parameter L for o plane wow = p or wp L, = Distance parameter L for a cylindrical wave =PP' or (W -Pbm P+P) (w-PI+ PI (If the source and the observer are the same. then L, = = )

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