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We studied correlations in microwave cavity resonance frequencies with antennas. Results show spectral properties shift from singular to semi-Poisson statistics as frequency increases, matching theoretical models.

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Area of Science:

  • Physics
  • Microwave Engineering
  • Quantum Chaos

Background:

  • Resonance frequencies in microwave cavities are sensitive to perturbations.
  • Previous studies focused mainly on nearest-neighbor spacing distributions.
  • Understanding spectral properties reveals underlying statistical mechanics.

Purpose of the Study:

  • Investigate short- and long-range correlations in resonance frequency fluctuations.
  • Analyze spectral properties of microwave cavities with antenna perturbations.
  • Explore the transition of spectral statistics with increasing frequency.

Main Methods:

  • Experimental investigation of flat, rectangular microwave cavities.
  • Inclusion of antennas as pointlike perturbations.
  • Analysis of statistical measures for long-range correlations and power spectra.

Main Results:

  • Observed spectral properties exhibit features of singular statistics.
  • Demonstrated a transition to semi-Poisson statistics with increasing microwave frequency.
  • Experimental data align well with a theoretical model for billiards with zero-range perturbations.

Conclusions:

  • The spectral properties of perturbed microwave cavities display complex statistical behaviors.
  • Frequency-dependent statistical transitions are experimentally verified.
  • The findings support the applicability of theoretical models to complex physical systems.