Converting Partial Differential Equations to Frequency Domain

[Radel]

Hello All,

I would like to convert a partial diff equation in time domain into frequency domain, however there is a term of the form:
Re(∇(E1.E2*) exp(j[ω][/0]t))
where E1 and E2 are the magnitudes of the electric field and [ω][/0] is the angular frequency.

Can someone please help me to solve this.

Thanks for your help!

 

[Simon Bridge]

Lets see if I understand you so far.
You have $$f(t) = \Re\left[ \nabla (E_1E_2^\star ) e^{j\omega_0 t}\right]$$ ... and you want to find $F(\omega)$ using a Fourier transform? Is that correct?

Where do you encounter difficulty? (Please show your best attempt.)