BosonicGaussianFit1D

class BosonicGaussianFit1D(rawData)

Bases: FitData1D

Bosonic Gaussian function fit for one-dimensional data.

Fits a bosonic Gaussian function that accounts for Bose-Einstein statistics to experimental data. Uses a Bose function approximation applied to a Gaussian distribution.

• Formula: \(y = A\,\mathrm{Bose}(e^{-(x-x_0)^2/(2\sigma^2)};2.5) + C\)

• Coefficients: \(A\) (amplitude), \(x_0\) (center), \(\sigma\) (width), \(C\) (offset)

Example1:

% Fit bosonic Gaussian to experimental data
x = linspace(-5, 5, 100);
y = 2*boseFunctionApprox(exp(-(x-1).^2/0.5), 2.5) + 0.1*randn(size(x));
data = [x', y'];
bosonicFit = BosonicGaussianFit1D(data);
bosonicFit.do();
bosonicFit.plot();

Example2:

% Access fit parameters
bosonicFit = BosonicGaussianFit1D(data);
bosonicFit.do();
amplitude = bosonicFit.Coefficient(1);
center = bosonicFit.Coefficient(2);
sigma = bosonicFit.Coefficient(3);
offset = bosonicFit.Coefficient(4);

Constructor Summary

BosonicGaussianFit1D(rawData)

Constructor for BosonicGaussianFit1D class.

Parameters:

rawData (double array) – Input data as n x 2 matrix [x, y]

Method Summary

guessCoefficient()

Automatically estimate initial fit parameters from data.

Estimates amplitude, center, standard deviation, and offset based on data characteristics, similar to standard Gaussian fit.

setFormula()

Set the bosonic Gaussian fit formula.