Nonlinear Wave Chaos: Statistics of Second Harmonic Fields
arXiv:1706.04715 · doi:10.1063/1.4986499
Abstract
Concepts from the field of wave chaos have been shown to successfully predict the statistical properties of linear electromagnetic fields in electrically large enclosures. The Random Coupling Model (RCM) describes these properties by incorporating both universal features described by Random Matrix Theory and the system-specific features of particular system realizations. In an effort to extend this approach to the nonlinear domain, we add an active nonlinear frequency-doubling circuit to an otherwise linear wave chaotic system, and we measure the statistical properties of the resulting second harmonic fields. We develop an RCM-based model of this system as two linear chaotic cavities coupled by means of a nonlinear transfer function. The harmonic field strengths are predicted to be the product of two statistical quantities and the nonlinearity characteristics. Statistical results from measurement-based calculation, RCM-based simulation, and direct experimental measurements are compared and show good agreement over many decades of power.
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Cited by in corpus (4)
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- Wave scattering properties of multiple weakly-coupled complex systems
- Scattering Statistics in Nonlinear Wave Chaotic Systems
- Time Domain Generalization of the Random Coupling Model and Experimental Verification in a Complex Scattering System