- #1
I<3NickTesla
- 12
- 0
In my diffraction notes, this integral comes up on the page about Babinet's principle:
[itex]\int ^{y=\infty}_{y=-\infty} \int ^{x=\infty}_{x=-\infty} exp(-i(px+qy)) dx dy = \delta (p,q)[/itex]
I'm not sure how this integral is derived as carrying out the integration and putting in the limits seems to give infinity, is it something to do with the completeness relation?
A screenshot of the slide is attached
[itex]\int ^{y=\infty}_{y=-\infty} \int ^{x=\infty}_{x=-\infty} exp(-i(px+qy)) dx dy = \delta (p,q)[/itex]
I'm not sure how this integral is derived as carrying out the integration and putting in the limits seems to give infinity, is it something to do with the completeness relation?
A screenshot of the slide is attached