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Simple stochastic model for optical tunneling.

A Ranfagni1, R Ruggeri, P Sandri

  • 1Istituto di Ricerca sulle Onde Eletromagnetiche Nello Carrara, CNR, Via Panciatichi 64, 50127 Firenze, Italy.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 23, 2002
PubMed
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A simple Brownian-motion model explains delay-time measurements in frustrated total reflection experiments across microwave and visible light. The model also describes ray trajectories within the tunneling region.

Area of Science:

  • Physics
  • Optics
  • Quantum Mechanics

Background:

  • Frustrated total reflection (FTR) experiments measure time delays in evanescent wave coupling.
  • Understanding wave propagation and tunneling in optical systems is crucial for various applications.

Purpose of the Study:

  • To develop a simple model for interpreting delay-time measurements in FTR experiments.
  • To describe the trajectories of light (rays) within the tunneling region of FTR setups.

Main Methods:

  • Derivation of a model based on Brownian motion.
  • Application of the model to analyze experimental data from microwave and visible FTR experiments.

Main Results:

  • The Brownian-motion-derived model successfully interprets delay-time measurements in FTR experiments.

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  • The model provides a plausible description of ray trajectories within the air gap (tunneling region) between paraffin prisms.
  • Conclusions:

    • A simplified Brownian-motion model offers a unified framework for understanding FTR delay times across different scales.
    • The model enhances the understanding of wave tunneling phenomena in optical systems.