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# E - Bibliothèque et Archives Canada

E - Bibliothèque et Archives Canada

## will be considerd here

will be considerd here and unit magnitude incident fields. Taking into consideration tables 2.1 8 2.2 and using equations 2.13 and 234 accordingly transforms equation 2.1 1 to the fdldng: The first two ternis are the incident Celd and reflecfed fields respedively as detemined from the geornetrical optics solution. The last terni is the dintacted field and is identical to equation 2.10. Henœ we have shown that the UTD half plane solution and the exact Sommerfeld solution are identical. 2.3.3 Surfece Cumnt Computation Using Somm*ld €xad Solution For the case of a half plane (n=2) illuminated by a TEz plane wave wiü~ an angk of incidence of 90°and Wth a unit magnitude incident magnetic field at the edge of the plane, let's compute and plot the surface cunent on the lit and shadow side of the plane using Sornmerleld's exad solution.

Sinœ we are dealing with the Tk case. the total magnetic field will be ahivays in the z diredion. This rneans also that j=iîx&ar~l ( rj a normal unit v e r to the surface of the plane) has only a p cornponent. Henœ the sufice curent is : Jp = H T (lit ~ side) Jp =-Wroiol (shadow side) Using equation 2.1 5 (hard case), the total field for our example is: a) For the lit side: henœ the total field is: b) For the Shadow side:

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