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Solution to causality paradox upon total reflection in optical planar waveguide.

Xiangmin Liu1, Zhuangqi Cao, Pengfei Zhu

  • 1Department of Physics, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai 200240, China. liuxy424@sjtu.edu.cn

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 21, 2006
PubMed
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The Goos-Hänchen time, an additional delay in light reflection, truly exists. It combines with group delay time, resolving causality paradoxes in optical waveguides and plasma mirrors.

Area of Science:

  • Optics
  • Waveguide Theory
  • Plasma Physics

Background:

  • A recent dispute questions the existence of an additional time delay associated with the Goos-Hänchen shift.
  • Understanding time delays in optical phenomena is crucial for precise light manipulation.

Purpose of the Study:

  • To investigate and confirm the existence of the Goos-Hänchen time.
  • To analyze the components contributing to the total time delay in optical waveguides.
  • To resolve the causality paradox in total reflection scenarios.

Main Methods:

  • Analysis of light propagation in an optical planar waveguide.
  • Application of the zigzag-ray model.
  • Utilizing electromagnetic theory.

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Main Results:

  • The Goos-Hänchen time is demonstrated to exist.
  • Total time delay equals the sum of group delay time and Goos-Hänchen time.
  • A negative Goos-Hänchen shift resolves the causality paradox for TM waves on plasma mirrors.

Conclusions:

  • The Goos-Hänchen time is a real physical phenomenon.
  • The total time delay in total reflection is a composite of group and Goos-Hänchen delays.
  • Consideration of Goos-Hänchen shift is essential for understanding causality in optical reflections.