This study investigates the spatial distribution of electric susceptibility in a medium influenced by a trifoil knot (optical knot) topology. Analyzing the real and imaginary parts of susceptibility reveals structured patterns in absorption (0.015 \(\%\) maximum, minimizing to 0 within \(-3.5\lambda \le x\le 3.5\lambda\) and \(-3.5\lambda \le y\le 3.5\lambda\) ) and refractive properties (maximum refractive response of 0.0117 \(\%\) at \(x/\lambda\) = 0 and \(y/\lambda\) = 0). The results demonstrate transitions from high absorption to minimal-loss states and significant refractive behavior, with dispersion peaks reaching 0.00011703. Notably, imaginary susceptibility (Im \(\chi\) ) ranges from -7.58 \(\times 10^{-6}\) to 1.20 \(\times 10^{-5}\) , indicating potential applications in quantum optics, nonlinear media, and optical switching/filtering.
