フーリエ変換 F(u) に関するグラフ

F(u) の設定

f[u_] := 
        (1/(2  π)) ((I ((E^(-I u)) - 1))/u);

Re F(u) のグラフ

Plot[Re[f[x]], {x, -4 Pi, 4 Pi}, Axes -> Automatic, 
      ImageSize -> {440, Automatic}, 
      PlotRange -> {{-4 Pi, 4  Pi}, Automatic}, 
      Ticks -> {{-3 Pi, -2 Pi,  -Pi, 0, Pi, 2  Pi, 
            3 Pi}, Automatic}]

Im F(u) のグラフ

Plot[Im[f[x]], {x, -4 Pi, 4 Pi}, Axes -> Automatic, 
      ImageSize -> {440, Automatic}, 
      PlotRange -> {{-4 Pi, 4  Pi}, Automatic}, 
      Ticks -> {{-3 Pi, -2 Pi,  -Pi, 0, Pi, 2  Pi, 
            3 Pi}, Automatic}]

|F(u)| のグラフ

Plot[Abs[f[x]], {x, -4 Pi, 4 Pi}, Axes -> Automatic, 
      ImageSize -> {440, Automatic}, 
      PlotRange -> {{-4 Pi, 4  Pi}, Automatic}, 
      Ticks -> {{-3 Pi, -2 Pi,  -Pi, 0, Pi, 2  Pi, 
            3 Pi}, Automatic}]

θ のグラフ

Plot[Arg[f[x]], {x, -4 Pi, 4 Pi}, Axes -> Automatic, 
      ImageSize -> {440, Automatic}, 
      PlotRange -> {{-4 Pi, 4  Pi}, Automatic}, 
      Ticks -> {{-3 Pi, -2 Pi,  -Pi, 0, Pi, 2  Pi, 
            3 Pi}, Automatic}]