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Az Fi(2z)+B F2(2z),kz#0, F1(),F2()= (D.34) COS(E) Cylindrical coordinate system Coordinate variables U=,-0<7<a x=pcosφ y=psinφ (D.39) 41 y Vector algebra p=scosφ+ysinφ 44 q=-sinφ+ycosφ A=pAa+φAφ+ZA (D.47) A.B=ApBp+AφB+A2Bz pφ B。BB2 @2001 by CRC Press LLCZ(z) = Az F1(kzz) + Bz F2(kzz), kz = 0, azz + bz, kz = 0. (D.33) F1(ξ), F2(ξ) =    e jξ e− jξ sin(ξ) cos(ξ) (D.34) Cylindrical coordinate system Coordinate variables u = ρ, 0 ≤ ρ < ∞ (D.35) v = φ, −π ≤ φ ≤ π (D.36) w = z, −∞ < z < ∞ (D.37) x = ρ cos φ (D.38) y = ρ sin φ (D.39) z = z (D.40) ρ =  x 2 + y2 (D.41) φ = tan−1 y x (D.42) z = z (D.43) Vector algebra ρˆ = xˆ cos φ + yˆ sin φ (D.44) φˆ = −xˆ sin φ + yˆ cos φ (D.45) zˆ = zˆ (D.46) A = ρˆ Aρ + φˆ Aφ + zˆ Az (D.47) A · B = Aρ Bρ + Aφ Bφ + Az Bz (D.48) A × B = ρˆ φˆ zˆ Aρ Aφ Az Bρ Bφ Bz (D.49)
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