Help getting started with this integral

  • Thread starter CuppoJava
  • Start date
  • #1
24
0

Main Question or Discussion Point

Hello everyone,

I'm having trouble understanding how to evaluate this integral. I am not sure whether there is a closed form solution.

[itex]\int_{-\infty}^\infty e^{-j\sqrt{x^2+a^2}} e^{-jkx} dx[/itex]

I am trying to express a polar wave as a summation of plane waves, and this integral drops out when solving for the amplitudes of the plane waves. Thanks very much for your help. A link to a reference, or the necessary techniques would be very helpful.

-Patrick
 

Answers and Replies

  • #2
798
34
Hi !

Did you first check if the integral is convergent or not ?
If not, are you sure that the given integral has a physical meaning ?
(I think that the integral is not convergent).
 
  • #3
798
34
A typo in your integral ?
 

Attachments

Related Threads for: Help getting started with this integral

  • Last Post
Replies
1
Views
1K
Replies
1
Views
2K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
5
Views
1K
Replies
3
Views
629
  • Last Post
Replies
3
Views
2K
Top