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E - Bibliothèque et Archives Canada

E - Bibliothèque et Archives Canada

3.5.7 EFlE and the

3.5.7 EFlE and the Moment Method The EFlE can be written as: vm = ZmJ" where, V, = EL at a certain point m Za = the impedanœ tem from a sub segment n to a point m. In = Current at sub segment n. N = Nx+ Ny+ Nx+ Ny=2Nx+2Ny Nx = number of segments for each AB and CD Ny = numbei of segments for each BC and DA Addiüonally the subscript rn or n indicates that the obsewer or the source respectively is prsssnt at: ABif 11morn1Nx BCif Nx+1 smornsNx+Ny CDif Nx+Ny+l smorns2Nx+Ny DA if 2Nx + Ny + 1 r m or ns 2Nx +2Ny Equation 3.50 represents the pulse basis 1 point matching case of the moment method solution of the EFIE. 3.5.8 Code and Resulb Cornputer Code PB0X.FOR was created basd on the fomlations of the prwious sections. The d e computes the Z, tem (excapt the sdf tem) by numerical integmüon of each sub segment n along its mdth A using Simpson's nile. The muh ~dre pl- in section 3.4 for cornparison with UTD plots.

4 SCATTERING - TMz CASE EDGE SURFACE CURRENT USlNG UT0 Obtaining the surfaœ current on an infinite wdge illuminateâ by a TMz plane wave (Mer to Figure 2.1) requires the total tangential magnetic field on the surfaœ of the ~8dg8. Equation 2.1 and 2.3 gives the total and the difbcted electric fields respecüvely. The magnetic field nds to be derived from the electnc field in this case. From Maxwell's equations: vxE=-jmfi Sinœ E has a z component only. then. the tangential magnetic field to the surfaœ is 1 Incident and Roflocbed M.gnetïc Tanganthl Fiolds A TM2 incident plane wave with unit magnitude el-c field at the dge of the wdge is assumed. It is assumed also mat p' varies btwieen O0 and nd? , al1 other cases being able to be deâuced by symmetry. Each kœ of the wedge will be treated separetely hem.

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