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Plot complex level curves of a polar function?

Ser Man

Posted 3 years ago

Hello, I have a a polar function given by: u[r_, phi_, n_] := Piecewise[{{BesselJ[1.5 r, n]Exp[I n phi], 0 < r < 1/2}, {(BesselJ[3 r, n] + BesselY[3 r, n])Exp[I n phi], 1/2 < r < 1}, {HankelH1[r, n]Exp[I n phi], r > 1}}] u0[r_, phi_, k_] := Sum[I^(-n) BesselJ[n, r] Exp[I n phi], {k, -5, 5}]; u1[r_, phi_, n_] := Sum[I^(-n) BesselJ[n, r] Exp[I n phi], {k, -5, 5}] + Piecewise[{{BesselJ[1.5 r, n]Exp[I n phi], 0 < r < 1/2}, {(BesselJ[3 r, n] + BesselY[3 r, n])Exp[I n phi], 1/2 < r < 1}, {HankelH1[r, n]Exp[I n phi], r > 1}}] And I'd like to plot the level curves of the Real and Imaginary part in a Polar 3D system. How do I do this? Thanks!

Hello, I have a a polar function given by:

u[r_, phi_, n_] := 
 Piecewise[{{BesselJ[1.5 r, n]*Exp[I n phi], 
    0 < r < 1/2}, {(BesselJ[3 r, n] + BesselY[3 r, n])*Exp[I n phi], 
    1/2 < r < 1}, {HankelH1[r, n]*Exp[I n phi], r > 1}}]
u0[r_, phi_, k_] := Sum[I^(-n) BesselJ[n, r] Exp[I n phi], {k, -5, 5}];
u1[r_, phi_, n_] := 
 Sum[I^(-n) BesselJ[n, r] Exp[I n phi], {k, -5, 5}] + 
  Piecewise[{{BesselJ[1.5 r, n]*Exp[I n phi], 
     0 < r < 1/2}, {(BesselJ[3 r, n] + BesselY[3 r, n])*Exp[I n phi], 
     1/2 < r < 1}, {HankelH1[r, n]*Exp[I n phi], r > 1}}]

And I'd like to plot the level curves of the Real and Imaginary part in a Polar 3D system. How do I do this?

Thanks!

POSTED BY: Ser Man