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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.
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.
- 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.
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