pyoculus.toybox.cylindrical_toybox.A_gaussian

pyoculus.toybox.cylindrical_toybox.A_gaussian(rr: array, R: float, Z: float, mu: float, sigma: float, m: int, n: int, phase_poloidal: float = 0.0, phase_toroidal: float = 0.0, A: float = 1.0, B: float = 1.0) → Array

Holonomous component of the vector potential \(A\) for the Gaussian distributed perturbation.

Parameters:

• rr (array) – Position vector in cylindrical coordinates.

• R (float) – R coordinate of the center of the Gaussian distribution.

• Z (float) – Z coordinate of the center of the Gaussian distribution.

• mu (float) – Mean of the Gaussian distribution.

• sigma (float) – Standard deviation of the Gaussian distribution.

• m (int) – Poloidal mode number.

• n (int) – Toroidal mode number.

• phase_poloidal (float) – Poloidal phase of the perturbation.

• phase_toroidal (float) – Toroidal phase of the perturbation.

• A (float) – Scaling factor for the R coordinate.

• B (float) – Scaling factor for the Z coordinate.

Returns:

\(A\) field at position rr.

Return type:

array