Recent content by David92

Thank you blue leaf for pointing me towards the shifting property of Fourier transforms, and vela you are certainly right I just didn't notice. This does save some time! As for the shifting property I still have a few questions about it, is the below true? ∫ X(t-τ) eiω't dt = ∫ X(u) eiω'(u+τ)...

Homework Statement The problem is from an optics text, however I believe the problem to be a mathematical one. I'm trying to take the Fourier transform of P(t) = ε0∫ X(t-τ)E(τ) dτ which should equal P(ω) = ε0X(ω)E(ω) where ε0 is a constant X is the susceptibility E is the...

Oh wow you are right I was overthinking it. Thinking in terms of even and odd functions really helped, thanks!

Homework Statement [/B] So I can't get from line (53) to line (54) I do not understand how interchanging the variables will cause the imaginary part to disappearThe Attempt at a Solution I'm not sure where to start I know exp(ix) = cos(x) +isin(x) And the only way i see cos(x) coming out is...