Fourier analysis

  • Thread starter hanson
  • Start date
319
0
Hi all.
I am learning a numerical method that involves Fourier transform.
As far as I know, I think Fourier transform is tool to find the frequency spectrum of a signal.
And the usual form shall be
"Integrate from negtive infinity to positive infinity, f(x)*exp(i*w*x)dx"

However, when i search this in wikipedia, it is defined with (w-wo), where wo is the central frequency.

http://en.wikipedia.org/wiki/Split-step_method

I don't really know what this definition is doing and what changes it would bring.

Why is it necessary to do so?

Please help.
 

fresh_42

Mentor
Insights Author
2018 Award
11,564
8,018
Second, it is necessary to Fourier transform back and forth because the linear step is made in the frequency domain while the nonlinear step is made in the time domain. An example of usage of this method is in the field of light pulse propagation in optical fibers, where the interaction of linear and nonlinear mechanisms makes it difficult to find general analytical solutions. However, the split-step method provides a numerical solution to the problem.
 

Want to reply to this thread?

"Fourier analysis" You must log in or register to reply here.

Related Threads for: Fourier analysis

Replies
2
Views
2K
Replies
1
Views
1K
Replies
1
Views
599
Replies
3
Views
581
Replies
1
Views
1K
Replies
1
Views
605
  • Posted
Replies
7
Views
693

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving

Hot Threads

Top