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
Experts defend operational earthquake forecasting, counter critiques
EU urged to convert TV frequencies to mobile broadband
Sierra Nevada freshwater runoff could drop 26 percent by 2100
mathman
#2
Apr20-10, 04:23 PM
Sci Advisor
P: 6,077
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