# Fourier transform spectroscopy

1. Jun 9, 2009

### Chemistopher

Hey guys,

There is something I have known and applied for a long time, that the greater the length of an interferogram the greater the resolution of the resulting frequency-domain spectrum. But I've never fully understood why, I've always waved it off as something to do with the uncertainty principle because this is what I was told many years ago in secondary school. I've read around and I can't really find a good explanation.

It'd be great if somebody here knew. Thanks :)

Regards,

Chris.

2. Jun 9, 2009

It is also a general property of a function's Fourier transform to get thinner the wider the function gets even when they are not cut of at the ends, but this requires higher mathematics, I think it is linked to $$\ell^p$$-spaces