VectorScale

VectorScale
is an option to VectorPlot, ListVectorPlot, and related functions that determines the length and arrowhead size of field vectors that are drawn.

DetailsDetails

  • The following settings can be given for VectorScale:
  • Automaticautomatic setting based on the location of field vectors
    Large,Medium, Small, Tinyscale field vectors to be large, medium, etc.
    {unitlen,aratio,sfun}use explicit specification of field vector scale
  • With the explicit specification VectorScale->{unitlen, aratio, sfun} each field vector is constrained to fit in a vector box oriented in the direction of the field, centered at the location of the vector.
  • The unitlen is given as a fraction of the diagonal of the overall bounding box and is used as a local scale for vector boxes, aratio is the aspect ratio for vector boxes, sfun is a scaling function that determines the width of vector boxes.
  • The following settings can be used for unitlen:
  • sunit scale to use, given as a fraction of the diagonal of the overall bounding box
    Large,Medium,Small,Tinysymbolic unit lengths
  • The following settings can be used for aratio:
  • rabsolute aspect ratio relative to unitlen
    Scaled[r]relative aspect ratio for each vector box
    Automaticcorrespond to Scaled[1] in 2D and Scaled[0.6] in 3D
  • The following settings can be used for sfun:
  • Noneall vector boxes are unitlen wide
    funca function of x, y, fx, fy, Norm[{fx, fy}]
    Automaticuse Norm[{fx, fy}]
  • When using an explicit sfun, positive values are automatically scaled to lie between 0 and 1. For other values the vector is not drawn.

ExamplesExamplesopen allclose all

Basic Examples (3)Basic Examples (3)

Use symbolic names to control the size of vectors:

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Specify the relative size of vectors as a fraction of the diagonal of the plot range:

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With the vector scaling function set to None, then all vectors have the same size:

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