Register to reply

FWHM of a gaussian function

by peterjaybee
Tags: function, fwhm, gaussian
Share this thread:
peterjaybee
#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
'Smart material' chin strap harvests energy from chewing
King Richard III died painfully on battlefield
Capturing ancient Maya sites from both a rat's and a 'bat's eye view'
mathman
#2
Apr20-10, 04:23 PM
Sci Advisor
P: 6,106
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