how to draw gaussian curve

i have the value for FULL WIDTH AND HALF MAXIMUM and WAVELEGTH VALUE. using these things how can i plot the curve

Answer 1

[Ayush]

Hi,

It seems you are trying to make use of FULL WIDTH AND HALF MAXIMUM (FWHM) and wavelength values to obtain a Gaussian curve.

You can make use of the relation between "sigma" and "FWHM", which is given as:

sigma = FWHM / (2 * sqrt(2 * log(2)));

The sigma obtained can be used in the Gaussian curve formula along with the wavelength values. Refer to an example code below for a better understanding:

% Define the FWHM and central wavelength
FWHM = 10; % Replace with your actual FWHM value
central_wavelength = 500; % Replace with your actual wavelength value

% Calculate the standard deviation (sigma) from the FWHM
% The relationship between FWHM and sigma for a Gaussian function is:
% FWHM = 2 * sqrt(2 * log(2)) * sigma
sigma = FWHM / (2 * sqrt(2 * log(2)));

% Create a range of wavelength values around the central wavelength
wavelengths = linspace(central_wavelength - 3*FWHM, central_wavelength + 3*FWHM, 1000); % This is an example range and can be changed as per the requirements

% Calculate the Gaussian function values for those wavelengths

gaussian_values = (1 / (sigma * sqrt(2*pi))) * exp(-((wavelengths - central_wavelength).^2) / (2 * sigma^2));


% Plot the Gaussian curve
plot(wavelengths, gaussian_values);
title('Gaussian Curve');
xlabel('Wavelength');
ylabel('Intensity');
grid on;