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Energy-flux pattern in the goos-Hanchen effect

Lai1, Kwok, Loo

  • 1Department of Physics, The Chinese University of Hong Kong, Shatin, Hong Kong, China.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|December 2, 2000
PubMed
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This study analyzes wave beam fields and energy flux in the Goos-Hanchen effect. It reveals that evanescent wave flux lines have identical shapes but opposite directions for positive and negative beam shifts.

Area of Science:

  • Optics
  • Wave phenomena
  • Electromagnetism

Background:

  • The Goos-Hanchen effect describes the lateral displacement of a light beam upon reflection.
  • Understanding energy flow in optical phenomena is crucial for applications.

Purpose of the Study:

  • To analytically and numerically investigate the two-dimensional wave beam fields and energy flux in the Goos-Hanchen effect.
  • To examine the behavior of time-averaged Poynting vector and flux lines for both positive and negative reflected beam shifts.

Main Methods:

  • Analytical calculations of the time-averaged Poynting vector.
  • Numerical simulations of wave beam fields and energy flux.
  • Analysis of flux line behavior for different wave polarizations and transverse field profiles (e.g., Gaussian).

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Main Results:

  • Flux lines for evanescent waves exhibit the same shape but opposite directions for positive and negative beam shifts.
  • For a Gaussian profile, these flux lines are parabolic.
  • Flux lines connect between the two media at the interface.
  • A negative shift results in flux line loops near the interface.

Conclusions:

  • The study provides a detailed understanding of energy transfer mechanisms in the Goos-Hanchen effect.
  • The findings highlight the distinct energy flux patterns associated with positive and negative beam shifts.
  • This research contributes to the fundamental knowledge of wave propagation and reflection phenomena.