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E - Bibliothèque et Archives Canada

E - Bibliothèque et Archives Canada

henœ the total field

henœ the total field is: Both surface cunent densiües can be deduced directly using equation (2.1 6). Both are exact solutions. A FORTRAN code called SOMMERFELD.FOR was created to compute and plot these current densities. The Fresnel integnl subroutine in this case is based on [lO], it had houttever to be customired to get Cl and SI from C and S. Figure 2.4 depicts the surface current density on the lit side of the plane iliuminated by a T G plane wave at 90° with a magnetic field of unit magnitude at the edge. Figure 2.5 shows the rurface cuvent density on the shaâow side of the plane. Sina the incident field is fi' = fe"; the physical optics cumt on the lit side is then = 22 x = 25 x id" = 2 2 Al m. This is in fair agreement mai Figure 2.4. On the shadow side of the saip, PO gives Ji = 0. The plots of Figures 2.4 and 2.5 will be compared later to the ones in chapter 3 obtained by the general UTD formulation code. The importance of this stems ftom the fact that UTD is considered to be a high ftequency solution for a local phenomnon. UTD, for the special case of a haif plane and plane waw incidence, reduces to an exact solution and this will help in sagregating between the low frequency limitation (near the edge)and the geomefry limitation (local difRaaion of multiple edges) when cornparing solutions of electrically smll scatterers considered to be building blocùs of canonical solutions.

Figura 24: Magnitude of surface cunerit den* (Ah) on aie lit Ode of a half piam illumimecl by a TEr plane wave at 90' (Using SOMMERFELD.FOR).

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