Register to reply

Just an integral...

by botee
Tags: correlation, fourier, integral
Share this thread:
Dec20-11, 11:45 AM
P: 12
Hi everyone! Could someone help me with evaluating the following integral?

[itex]\int_{2 \pi /L}^{\pi/l_0} \int_{2 \pi /L}^{\pi/l_0} \frac{\cos(k_x \Delta x)}{k_x^2 + k_y^2} dk_x dk_y [/itex]

I have a good reason to believe that it will end up with some
[itex] \frac{1}{2} \ln (\frac{L}{\Delta x})[/itex]
though this might just be some approximation of it, since
[itex] l_0 \ll L, \Delta x \ll L[/itex] .
Any help would be appreciated! Thank you!
Phys.Org News Partner Science news on
Experts defend operational earthquake forecasting, counter critiques
EU urged to convert TV frequencies to mobile broadband
Sierra Nevada freshwater runoff could drop 26 percent by 2100

Register to reply

Related Discussions
Integral equation with a derivative of the function inside the integral Calculus & Beyond Homework 5
Rewrite the integral as an equivalent iterated integral in the order Calculus & Beyond Homework 5
Using polar co-ord. to change double integral into single integral involving only r. Calculus & Beyond Homework 5
Is the ordinary integral a special case of the line integral? Calculus 3
Volume integral to spherical coords to contour integral Calculus & Beyond Homework 4