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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 . 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, = = )
Evafuation of the Uniforrn Théory
ABSTRACT Evaluation of the Uniform
ACKNOWLEDGEMENT I am grateful to E.
TABLE OF CONTENTS (continued) 3.5.4
Figur, 3.6: Magnihrde of cummt dsns
Figur, 3.28: Magnihide of cunient d
LIST OF TABLES ....................
where, Z,,,,, = is from equation 3.
4 SCATTERING - TMz CASE EDGE SURFAC
Equation 4.4 can ôe evaluated if i
Usually subroutines will give the r
2 2.5 3 RH0 in Lambdas ïMz plane w
3' I I 1 1 1 1 1 I I O 0.5 1 1.5 2
RH0 (in wavelengths) TMz plane wave
4.2 STRIP SURFACE CURRENT USlNG UTD
As shown in the previous section, c
y the fact mat the wrrent density d
Fig. 1.8: Magnitude of current dens
Fg. 4.10: Magnitude of currcnt dens
4.3 STRlP SURFACE CURRENT USlNG THE
4.3.3 Code and Rnults The cornputer
HL = v~sg'E' From image theory HP =
from equation (4.21) On any surface