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Vector plot of magnetization

Posted 5 months ago

I would like to see the change of Magnetic Field of Polar-Anisotropic by changing magnetization definition.

The below magnetization image is R= cos(3phi), φ=sin(3phi),z=0 in FEM software (equation maybe fault) in cylindrical cordinate.

Can Mathematica make these vector image to understand magnetization?
(FEM is not needed. It is OK by simple vector calculation)

Reference
https://www.muratasoftware.com/en/products/examples/gau030/

enter image description here

POSTED BY: Shinsuke Okayasu
6 Replies

This is a way:

VectorPlot3D[RotationMatrix[Pi/3, {0, 0, 1}] . {x, y, z},
 {x, -1, 1}, {y, -1, 1}, {z, -1, 1} ]
POSTED BY: Gianluca Gorni

Sorry I mean trigonometric functions.

To make polar anisotropic, I would like to change the direction by each position by using trigonometric function.

POSTED BY: Shinsuke Okayasu

What is a triangle function?

POSTED BY: Gianluca Gorni

Thanks for your comment

I will use 3D Vector Plot. I am straggling how to input triangle function as vector plot definition.

enter image description here

POSTED BY: Shinsuke Okayasu

You may consider StreamPlot3D. VectorPlot3D, SliceVectorPlot3D.

POSTED BY: Gianluca Gorni

I would like to see the change of magnetization by direction definition.

I think below image is definition by R=cos(3Phi), Phi=sin(3Phi),Z=0 (cylindrical coordinate) in FEM software.

Can Mathematica visualize this vector combination? I would like to see the direction change by changing R, Phi, Z.

enter image description here

Reference https://www.muratasoftware.com/en/products/examples/gau030/

POSTED BY: Shinsuke Okayasu
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