Recent content by big_gie

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    Kramers-Kronig relations for the wavenumber

    Hi all, I am wandering if I can apply the Kramers-Kronig (KK) relations to the complex wavenumber k(ω) = k'(ω) + i k"(ω). I have a measurement that easily gives me k'(ω) for a certain range of frequencies, but where k"(ω) is unreliable. I would like to use KK to find k" from k'. According...
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    Triple Integration: Transform Equation to Spherical Coordinates

    Hi Defennder, thanks for your reply. Yes, d^3x' is indeed dx'~dy'~dz': a volume element. The integration is over infinity. \vec{x'} is the integration variable. It is a position vector (x',y',z'). Maybe I'll explain more the problem... The integral is the electric field at...
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    Triple Integration: Transform Equation to Spherical Coordinates

    Homework Statement Transform the equation from cartesians coordinates to spherical coordinates. Homework Equations \int_\infty\int_\infty\int_\infty exp\left\{ \frac{-\left| \vec{x'}-\vec{x}_0 \right|^2}{2 \sigma} \right\} \frac{\left( \vec{x} - \vec{x'} \right)}{\left| \vec{x} -...
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