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interptri

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Interpolates a data set from a triangular to a rectilinear grid. The data can be complex.

 

This function is typically used for resampling data evaluated originally in a finite element mesh (monitor data from DEVICE, for example) to a new rectilinear grid.

 

Supported Product: FDTD, MODE, DEVICE, INTERCONNECT

 

Syntax

Description

out = interptri(tri, vtx,u, xi, yi,extrap_val);

Does a triangular to rectilinear grid interpolation of a function and outputs a PxQ array of interpolated values, z(xi,yi).

u is existing data of the finite element mesh (size Nx1)

xi and yi are arrays with length P and Q, respectively. They specify the points where u is to be sampled on the rectilinear mesh, in the x-direction and y-direction

tri is the connectivity array, Mx3, containing row entries that index the three vertices of M triangles. Taken from the simulation region

vtx is a matrix with the vertices of the triangular mesh, Nx2, containing row entries of (x,y) pairs. Taken from the simulation region

extrap_val(optional): if an interpolation point is outside of the finite element mesh, the point will be assigned this value (default is Inf)

 

Example

This is an example of a script for DEVICE that will resample charge "n" on a rectilinear grid. The example assumes that a simulation has been run in DEVICE with multiple bias voltages. The simulation domain is in the XZ plane. The script will select the charge data for the first bias voltage and resample the charge information on the XZ plane to a new rectilinear grid defined by xrect and zrect. This is just to show how the interptri command will get used. It will not actually plot the results unless you try a similar set of commands with a simulation that has already been run.

# Read the charge data

 

N = getdata("CHARGE","charge","n");        # The dimension of N is [L, 1, bb, 1].

                                                           # "L" is the number of vertices, "bb" is the number of bias points.

 

temp = size(N);

L = temp(1); # get the length of N (this is basically the number of vertices).

 

vtx = getdata("CHARGE","charge","vertices"); # dimension is [L, 3]. It stores the x, y, z coordinates of all the vertices.

 

tri = getdata("CHARGE","charge","elements");        # dimension is [ee, 3]. It stores the index of the 3 vertices for all elements. 

                                                                 # "ee" is the total number of triangular elements.

 

# Set the array with the x coordinates of the new rectilinear grid:

 

xmin = -.1e-6;

xmax = .1e-6;

xstep = .001e-6;

 

xrect = xmin:xstep:xmax;

 

# Set the array with the z coordinates of the new rectilinear grid:

 

zmin = -0.8e-6;

zmax = 0;

zstep = .001e-6;

 

zrect = zmin:zstep:zmax; 

 

# Prepare the N array to be used in the interptri command. N should have a dimension of L x 1.

 

N = pinch(N); # Removing singleton dimensions.

N = pinch(N(1:L,1)); # Getting data for just one bias voltage (the first one).

 

# Prepare the vtx array to be used in the interptri command. vtx should have a dimension of L x 2.

 

vtx = vtx(1:L,[1,3]); # getting only x and z axis information (removing the y data).

 

# Creating the rectilinear data using interptri

 

N_rect = interptri(tri,vtx,N,xrect,zrect); 

 

# Plot data

 

image(xrect,zrect,N_rect);

 

See Also

quadtri, interptet, quadtet

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