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E - Bibliothèque et Archives Canada

E - Bibliothèque et Archives Canada

The incident field is

The incident field is nonexistent beyond the incident shadow boundary (ISB). the reflecteâ field is nonexistent beyond the Mecteci shadow boundary (RSB) and the diffracteci field is given by the foilowing [3]: Where E~(Q~) or H ~ Q is ~ the ) field incident on the edge and the difh'acted field appearing to k generated by the edge QE as a cyîindrical wave. The UTD diffraction coefficient is given by [3J: The - and the + signs in T correspond to the soft (Tb&) and hard (Tm) case respecüvely. For the 2-D case we have ahmys /31= P. The distance paramefer 2 L is given by [3]:

L=p for plane wave incidence or L- PP' for cylindrical wave incidence P+P' the transition function F is m with the expression ford(@pl) being in this expression. fi an the integers which most satisfy the equations: It is a rneasure of the angular separabion betwmsn the oba~rvation point and the shadow boundaries. Away from the boundaries Ma is large and it is easy to show that the transition fundion becomes unity and the diffraction coeRicient reduces to its GTD formulation. In words, UTD shows that the scattered field by an infinite edge is the same as the one obtained by geomtrical optics with aie addition of the local edge diffraction efkd. This concept of treating the dge dinracüon as a local phenomenon is very interesting and cauld be utilized in mking the edge part of a building block of more tomplex shapes than the cenonical infinite edge itseff. Figure 2.1(b) shows an example of how this concept is useâ. The strip shuwn in Figure 2.1(b) is illuminated by a plane wave at an angle of incidenœ of cp'. In

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