smart_lorentz_gauss 2.1.1

Provides functionalities to compute mixed Lorentz-Gauss line shapes, also called n-dimensional Pseudo-Voigt function.

Smart Lorentz Gauss

What the package can do for you

This package provides functionalities to compute an n-dimensional mixed Lorentz-Gauss line shape, also called an n-dimensional Pseudo-Voigt function. Typically such functions occur in spectroscopic data originating from electro-magnetic 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

1. 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]);

2. The following example computes the value of the above shape value at position x.

   double val = lg.getValueAt(x]);

3. 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);

4. The methods array1D and array2D return an array or a matrix containing a 1D or 2D Lorentz-Gauss function, respectively.

5. The class Spectrum2D computes a sum of 2D Lorentz-Gauss 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.

smart_arrays_contour_finder: Contours the three-dimensional surface represented by the values f(x,y) of a matrix.

smart_arrays_lmfit: Fits (x, y) data given as arrays to a specified model function using the Levenberg-Marquardt algorithm.

smart_signal_processing: Fourier transform and more.

smart_dialogs: Easy-to-use dialogs in Web applications