Returns a matrix containing a rough surface characterized by an RMS amplitude.
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Syntax |
Description |
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out= sroughness(x_span, y_span, sigma_rms, corr_x, corr_y, seed); |
Returns a matrix containing a rough surface characterized by an RMS amplitude ‘sigma_rms’ and correlation lengths ‘corr_x’ and ‘corr_y’. The roughness is generated by creating a random matrix of values in K space defined by ‘x_span’ and ‘y_span’. A Gaussian filter is applied to this matrix, then a Fourier transform is used to transform the matrix back to real space. Due to the way the Fourier transform is setup, the roughness will be periodic with period x, y span. This is convenient for some application, particularly when using periodic boundary conditions. The parameter ‘seed’ defined the random seed value used to generate the surface. |
Example
This is a simple example of a rough surface created with sroughness:
x_span = 400e-6; y_span = 400e-6; sigma_rms = 0.3; corr_length_x = 40e-6; corr_length_y = 40e-6; seed_process = 1; # calculate the number of points in x and y Nx = 100; Ny = 100; # initialize required variables x_wafer = linspace(-x_span/2,x_span/2,Nx); y_wafer = linspace(-y_span/2,y_span/2,Ny); neff_xy_wafer = sroughness( x_wafer, y_wafer, sigma_rms, corr_length_x, corr_length_y, seed_process ); image(x_wafer/1e-6, y_wafer/1e-6, neff_xy_wafer, "x (um)", "y(um)", "Rough surface");
See Also
List of commands , length , substring , findstring , replace , str2num , num2str , splitstring , lower , upper