FWHM of a gaussian function


by peterjaybee
Tags: function, fwhm, gaussian
peterjaybee
peterjaybee is offline
#1
Apr20-10, 11:32 AM
P: 62
Hi,

I have a gaussian of the form
[tex]exp[-\frac{\pi*x^{2}}{A^2}][/tex].

I know that the FWHM=0.939A, but I cannot prove it.

I Let [tex]exp[-\frac{\pi*x^{2}}{A^2}=0.5[/tex] (i.e. the half maximum part)

taking natural logs I get rid of the exponential, but then which bit represents the full width?
Phys.Org News Partner Science news on Phys.org
NASA's space station Robonaut finally getting legs
Free the seed: OSSI nurtures growing plants without patent barriers
Going nuts? Turkey looks to pistachios to heat new eco-city
mathman
mathman is offline
#2
Apr20-10, 04:23 PM
Sci Advisor
P: 5,937
Write x = kA and compute k=(-ln(.5)/π)1/2

Your Gaussian looks funny.


Register to reply

Related Discussions
Plotting Gaussian Function by using MATLAB Math & Science Software 0
Integration Involving a Gaussian Function Calculus & Beyond Homework 3
FT of the Gaussian function Calculus 11
Gaussian Function General Math 5
Function of a random gaussian variable Introductory Physics Homework 1