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# E - Bibliothèque et Archives Canada

E - Bibliothèque et Archives Canada

## ) For a date ~arallel to

) For a date ~arallel to the v axis (refer b Figure 3.31~): ~fthe cumnt is J, = 2 I .g. ( ), then similariy to the previous casa, where, y,, = middfe of segment n AY = wyMy = segment width Sinœ the geometry dealt with here is a redringular cylinder with its sumœs parallel to the x or y axis, the tangential eldric field at a point on the cylinder generated by one side is E: or E, , henœ due to a certain side of the cylinder the scattered tangential electric field at a certain point rn on the surface on aie cylinder is: where, N = is Nx or Ny. Z,,,,, = is the tenn behnieen bmckets in equation 3.47a. 3.479 3.48a or 3.48b depending which side is the generating one (choiœ behmen equaüon 3.47 and 3.48) and on which side m is on (choiœ betwwn a and b).

The 2, &mis are generally conputsd by numerical integraüon. or dosd form according to equations 2.34. 2.35.2.36 or 2.43 .It should be remembed that depending how the EFlE is formulatd 6 = -EL or - d = A&, the &, tem have to be multiplieci by -1. Equations 2.34.2.35.2.36 and 2.43 were derived for the EFlE E'o = -E"o 3.5.3 Total Tangmtial Elecbic Field on AB The geornetry in Figure 3.23 is u d to establish the total fietd on each segment. The primeter of the rectangular cylinder is divided (starting from A, dodnnise) into N segments. Each section of the perimetet paraltel to the x aris is divided into Nx segments and each section paralkl to the y axis is divided into Ny segments. N = Nx+ Ny+ Nx+ Ny= 2Nx+2Ny. Segment n = 1 is next to A and segment n = Nx is next to B and segment Nx + Ny is next to C etc ... The dimensions of the cylinder are m and wy. The total tangential electric field at a point m (hi wylZ) on AB is the sum of the tangential incident field and tangential scattered field generated by AB itself, BC, CD and DA. a) Tanaential incident electric field. From equation (3.45): b) From AB: where. Z,,,,, is the terni betwwn brackctar in equation 2.47a)

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