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E - Bibliothèque et Archives Canada

E - Bibliothèque et Archives Canada

4.4 RECTANGULAR CYLINDER

4.4 RECTANGULAR CYLINDER SURFACE CURRENT USlNG UTD The geometry to be considered is the redangular cylinder of Figure 3.23 but illuminateci by a TMz plane mve incident at an angle cp' betwwn O* an 90'. The plane wave has a unit magnitude eldc field at the origin. The total magnetic field must be known so that wmt can be obtained. The solution considers the rectangular cylinder a combination of four edges. GO fields and difftacüon from edgw are combinecl to get the total eldc field. Sinœ we are dealing hem with the TMz case. obtaining the magnetic field h m the eledric field will be required. 4.4.1 Incident and ReflecW Fields The incident fields at A, B, C and D are: E" = e =e E'B = e E: = e =e 4 " " EL = 0 (sinœ O

HL = v~sg'E' From image theory HP = HL c) On surface CD and DA: E' = H' = 0 (rince 0q9

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