I wanna be Destin.

nsaspook

Joined Aug 27, 2009
16,338
This is a really, really cool visualization of the Fourier Series (even more cool beginning at 5:30):
Very cool!

This method of using phasors (spinning wave pointers) is at the heart of Feynman's path integral (The Sum over Paths Theory) QM solution but instead of simple harmonic oscillators he used quantum amplitudes.
 
Last edited:

nsaspook

Joined Aug 27, 2009
16,338
Beautiful! ... question, is there a 3D technique of the fourier series?
Yes, there are n-dimensional Fourier Transforms using vectors/matrices. Normally for the semiconductor applications I'm familiar with we use Reciprocal space instead of 'Real' space via a Fourier transform for things like X-ray inspection of dosing levels that look at damage to the crystal lattice from ion beams or other processes. I don't GROK the math behind it, only the results.
https://www.tcd.ie/Physics/study/current/undergraduate/lecture-notes/py3p03/Lecture4_2014.pdf

Another 2-D Fourier Series animation.
 
Last edited:

cmartinez

Joined Jan 17, 2007
8,783
Yes, there are n-dimensional Fourier Transforms using vectors/matrices. Normally for the semiconductor applications I'm familiar with we use Reciprocal space instead of 'Real' space via a Fourier transform for things like X-ray inspection of dosing levels that look at damage to the crystal lattice from ion beams or other processes. I don't GROK the math behind it, only the results.
https://www.tcd.ie/Physics/study/current/undergraduate/lecture-notes/py3p03/Lecture4_2014.pdf

Another 2-D Fourier Series animation.
Emoji Smiley-50.png ... now I'm blown away ... many thanks!
 

wayneh

Joined Sep 9, 2010
18,117
Wow! I'm absolutely stunned!
I'm not. I like cat videos as much as the next person but I have always been suspicious of, and steered clear of, Facebook and Twitter and everything else you might call social media. (AAC forums excepted.) I can't really point to any one thing, but social media always seemed to me vaguely scammy and unclean like a bus station washroom. I don't want to hang around with the general public. To some degree I guess that makes me a bigot. I can live with that.
 
Top