2004/07/08 by Ulrich Kuhl, U. Kuhl, M. Martinez-Mares +5 · 2 citations
Mathematics · Physics and Astronomy · #Absorption (acoustics) #Atomic physics #Chaotic #Cold Atom Physics and Bose-Einstein Condensates #Combinatorics #Computer science #Coupling (piping) #Distribution (mathematics) #Eigenvalues and eigenvectors #Generalization #Geometry #Kernel (algebra) #Materials science #Mathematical analysis #Mathematics #Matrix (chemical analysis) #Microwave #Nonlinear Photonic Systems #Optics #Physics #Poisson distribution #Quantum chaos and dynamical systems #Quantum mechanics #Random matrix #Statistics #Symmetry (geometry) #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevlett.94.144101
published as PRL 94, 144101 (2005) · 4 pages, 4 figures
arxiv created 2004/07/08 · openalex publication_date 2005/04/13 · arxiv updated 2016/08/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We quantify the presence of direct processes in the S matrix of chaotic microwave cavities with absorption in the one-channel case. To this end the full distribution P(S)(S) of the S matrix, i.e., S=sqrt[R]e(itheta), is studied in cavities with time-reversal symmetry for different antenna coupling strengths T(a) or direct processes. The experimental results are compared with random-matrix calculations and with numerical simulations including absorption. The theoretical result is a generalization of the Poisson kernel. The experimental and the numerical distributions are in excellent agreement with theoretical predictions for all cases.