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FWHM of a gaussian function

by peterjaybee
Tags: function, fwhm, gaussian
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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?
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mathman
#2
Apr20-10, 04:23 PM
Sci Advisor
P: 6,059
Write x = kA and compute k=(-ln(.5)/π)1/2

Your Gaussian looks funny.


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