- #1
Dixanadu
- 254
- 2
THIS HOMEWORK PROBLEM WAS SUBMITTED TO THE WRONG FORUM, AND THERE IS NO TEMPLATE.
Hey guys,
So here's the issue I'm faced with. I need to integrate the following by parts (twice):
[itex]\int d^{3}y\, e^{ik(\hat{n}_{0}-\hat{n})\cdot\vec{y}}\left[ \nabla\times\nabla\times\hat{\epsilon}_{0} \right][/itex]
And I have absolutely no clue how to approach this. The result I'm meant to reach is proportional to
[itex]\int d^{3}y\, e^{ik(\hat{n}_{0}-\hat{n})\cdot\vec{y}} \hat{n}\times\hat{n}\times\hat{\epsilon}_{0}[/itex]
The hats denote unit vectors I believe.
I don't know how to integrate by parts an expression involving the curl operator...can someone help please?
Thanks!
So here's the issue I'm faced with. I need to integrate the following by parts (twice):
[itex]\int d^{3}y\, e^{ik(\hat{n}_{0}-\hat{n})\cdot\vec{y}}\left[ \nabla\times\nabla\times\hat{\epsilon}_{0} \right][/itex]
And I have absolutely no clue how to approach this. The result I'm meant to reach is proportional to
[itex]\int d^{3}y\, e^{ik(\hat{n}_{0}-\hat{n})\cdot\vec{y}} \hat{n}\times\hat{n}\times\hat{\epsilon}_{0}[/itex]
The hats denote unit vectors I believe.
I don't know how to integrate by parts an expression involving the curl operator...can someone help please?
Thanks!