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E - Bibliothèque et Archives Canada

E - Bibliothèque et Archives Canada

Figure 2.3: Radiation

Figure 2.3: Radiation pattern (Nannalized paHler in dB) for a magnetic line source above (hdgh = 0.001 ;Z ) a strIp (by 0.2R ) using first ofder diffraction (Un).

2.3 CWPARING UTD GENERAL FORMULATION AND AN EXACT SOLUTION The formulation of the diffracted field in section 2.1 was taken from [3]. The present work uses this formulation as the basis for al1 cornputer codes created to compute and plot surface wnents on scatterers derived from a UTD solution. As msntioned earlier, an independent method will be used to compare results. Before starting however to use the codes based on UTD l was important to gain a high level of confidence in the formulation and its corresponding subroutine codes. As stated in [3], for half planes illuminated with a perpendiwlar to edge plane wave, there is an exact solution (obtaind by Sommerfeld ). The goal in this sedion is to prove that the UTD formulation in section 2.1 rsduœs to an exact solution fw the special case of a half plane illuminateâ by a plane wave and to compute and plot the exact solution results. These mub will k used to validate results obtained by the UTD general formulation and subroutine code especially. 2.3.1 Reduction of the UTD Fonnulrtion: For a half plane illuminated by a plane wave, as shm in Figure 2.1, nc2 and L=p. This leads to the following reductions: Using this mduœs equation 2.5 to:

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