smart_lorentz_gauss 2.1.2
Provides functionalities to compute mixed LorentzGauss line shapes, also called ndimensional PseudoVoigt function.
Smart Lorentz Gauss #
What the package can do for you #
This package provides functionalities to compute an ndimensional mixed LorentzGauss line shape, also called an ndimensional PseudoVoigt function. Typically such functions occur in spectroscopic data originating from electromagnetic radiation. The function can for example be used for fitting or deconvolution of such data, or for simulating (computing) spectra, i.e. as a superposition of several shapes with different parameters.
Example #

The provided example can be directly executed via https://smart.specpad.bplaced.net/smart_lorentz_gauss/example.html. The result will be displayed in the browser.

Or, download the package and execute the file
example/example.html
in your browser.
The major API functionalities #
 class
LorentzGauss

The following example constructs a LorentzGauss shape with the given amplitude, center, width, and Gaussian fraction.
LorentzGauss lg = new LorentzGauss.fromPars(amplitude, [center], [width], [0.2]);

The following example computes the value of the above shape value at position x.
double val = lg.getValueAt(x]);

The following example computes an array of size NPOINTS containing a pure Lorentzian with amplitude 100. The maximum will be at index NPOINTS/4, and line width 20 points at half maximum height.
Float64List lor = LorentzGauss.array1D(NPOINTS, 100.0, NPOINTS~/4, 20, 0.0, null);

The methods
array1D
andarray2D
return an array or a matrix containing a 1D or 2D LorentzGauss function, respectively. 
The class
Spectrum2D
computes a sum of 2D LorentzGauss functions, a '2D spectrum' of such functions.
Related packages #
smart_arrays_base
: Basic functions for 1D and 2D arrays
smart_arrays_numerics
: Numerics with 1D and 2D arrays
smart_arrays_compress
: Compress 1D and 2D arrays to a smaller size.
smart_arrays_sample_data
: Computes 1D and 2D arrays containing sample data.
smart_arrays_dbstore
: Store 1D and 2D arrays along with metadata on the local device.
smart_arrays_plot_polyline
: Plot 1D arrays as polyline along with axes and more.
smart_arrays_peaks
: Detect peaks in 1D and 2D arrays.