Experimental investigation of Wigner's reaction matrix for irregular graphs with absorption

Abstract

We use tetrahedral microwave networks consisting of coaxial cables and attenuators connected by T-joints to make an experimental study of Wigner's reaction K matrix for irregular graphs in the presence of absorption. From measurements of the scattering matrix S for each realization of the microwave network we obtain distributions of the imaginary and real parts of K. Our experimental results are in good agreement with theoretical predictions.

12 pages, 6 figures

References in corpus (2)

• Universal Statistics of the Scattering Coefficient of Chaotic Microwave Cavities
• Statistics of Impedance, Local Density of States, and Reflection in Quantum Chaotic Systems with Absorption

Cited by in corpus (3)

• Experimental and numerical investigation of the reflection coefficient and the distributions of Wigner's reaction matrix for irregular graphs with absorption
• Chaotic scattering with direct processes: A generalization of Poisson's kernel for non-unitary scattering matrices
• Experimental determination of the absorption strength in absorbing chaotic cavities