From 714b17c2072f11d618e6f6bf9288d02d31a90176 Mon Sep 17 00:00:00 2001 From: Jan Benda Date: Mon, 3 Mar 2025 18:01:42 +0100 Subject: [PATCH] Revert "fixed chi2 denominator (added sqrt)" This reverts commit 3e42267b203aa913fe0a6a06062df91e5bc408aa. --- susceptibility1.tex | 3 +-- 1 file changed, 1 insertion(+), 2 deletions(-) diff --git a/susceptibility1.tex b/susceptibility1.tex index 3d9254a..30b6c01 100644 --- a/susceptibility1.tex +++ b/susceptibility1.tex @@ -685,9 +685,8 @@ describes nonlinear interactions that generate responses at the sum and differen The second-order susceptibility \begin{equation} \label{eq:susceptibility} - \chi_{2}(\omega_{1}, \omega_{2}) = \frac{S_{xss} (\omega_{1},\omega_{2})}{2\sqrt{S_{ss} (\omega_{1}) S_{ss} (\omega_{2})}} + \chi_{2}(\omega_{1}, \omega_{2}) = \frac{S_{xss} (\omega_{1},\omega_{2})}{2S_{ss} (\omega_{1}) S_{ss} (\omega_{2})} \end{equation} -\note{is the denominator right? What is the unit?} normalizes the second-order cross-spectrum by the spectral power at the two stimulus frequencies. % Applying the Fourier transform this can be rewritten resulting in: % \begin{equation}