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Distribution of zeros of the<i>S</i>-matrix of chaotic cavities with localized losses and coherent perfect absorption: non-perturbative results
We employ the Random Matrix Theory framework to calculate the density of zeroes of an $M$-channel scattering matrix describing a chaotic cavity with a single localized absorber embedded in it. Our approach extends beyond the weak-coupling limit of the cavity with the channels and applies for any absorption strength. Importantly …