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Using rays better. IV. Theory for refraction and reflection.

G W Forbes1

  • 1Department of Physics, Macquarie University, Sydney, NSW, Australia. forbes@physics.mq.edu.au

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
|October 5, 2001
PubMed
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A novel ray-based method models optical interfaces by expressing wave fields as ray contributions. This approach ensures standard Fresnel coefficients apply universally, even with complex interface geometries.

Area of Science:

  • Optics
  • Mathematical Physics

Background:

  • Modeling optical interfaces is crucial for understanding light-matter interactions.
  • Existing methods may struggle with complex interface geometries and refractive index gradients.

Purpose of the Study:

  • To extend a ray-based method for accurate modeling of optical interfaces.
  • To demonstrate the universal applicability of Fresnel coefficients within this new framework.

Main Methods:

  • Expressing wave fields and their derivatives as superpositions of flexible-width ray contributions.
  • Introducing a family of surfaces to smoothly connect and analyze interfaces.
  • Applying standard Fresnel coefficients on a ray-by-ray basis.

Main Results:

Related Experiment Videos

  • The extended ray-based method successfully models optical interfaces.
  • Standard Fresnel coefficients are shown to be universally applicable, even at caustics.
  • Surface curvature and refractive index gradients affect only higher-order asymptotic corrections.

    • Conclusions:

    • The new ray-based method provides a robust framework for optical interface analysis.
    • It offers access to higher-order asymptotic corrections previously difficult to obtain.
    • This method simplifies the modeling of complex optical phenomena.