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industrial-strength data visualization 581Figure C.11 The visual program on the left produces visualization of the electric potential ona 2-D plane containing a capacitor. Colors represent different potential values.from that simulation is used in the DX visualization of the electric potential in aplane containing a finite parallel-plate capacitor (Figure C.11). The visual programLaplace.net1 shown on the left creates the visualization, with the module AutoColorcoloring each point in the plane according to its potential value.Another way to visualize the same potential field is to plot the potential as theheight of a 3-D surface, with the addition of the surface’s color being determinedby the value of the potential. The visual program Laplace.net_2 on the left in FigureC.12 produces the visualization on the right. The module RubberSheet createsthe 3-D surface from potential data. The range of colors can be changed, as well asthe opacity of the surface, through the use of the Colormap and Color modules. TheColorBar module is also included to show how the value of the potential is mappedto each color in the plot.C.5.4 Sample 4: Vector Field PlotsVisualization of the scalar field V (x, y) required us to display one number at eachpoint in a plane. A visualization of the vector electric field E(x, y)=− ⃗ ∇V requiresus to display three numbers at each point. In addition to it being more work tovisualize a vector field, the increased complexity of the visualization may make thephysics less clear even if the mathematics is more interesting. This is for you, andyour mind’s eye, to decide.−101COPYRIGHT 2008, PRINCET O N UNIVE R S I T Y P R E S SEVALUATION COPY ONLY. NOT FOR USE IN COURSES.ALLpup_06.04 — 2008/2/15 — Page 581