Skip to main content

Fresnel Equations

  • Reference work entry
  • First Online:
Computer Vision

Synonyms

Fresnel Conditions; Fresnel’s law; Light Transmission and Reflection Coefficients

Related Concepts

Polarized Light in Computer Vision; Polarizer;

Polarization

Definition

The four Fresnel equations express the reflection and transmission coefficients of light components whose electric-field vector is either parallel or perpendicular to the plane of incidence.

Background

Based on the theory of electromagnetism, the Fresnel equations express the reflection and transmission coefficients of light that hits an interface between two media. This entry introduces amplitude reflectivity, amplitude transmissivity, intensity reflectivity, and intensity transmissivity.

Theory

Figure 1 illustrates a light ray that hits the interface between two materials, the refractive indices of which are denoted by n1 and n2, respectively. Part of the light is reflected from the interface, while another part penetrates the surface and refracts as it enters the second material. The plane including the...

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 649.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 899.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Born M, Wolf E (1974) Principles of optics. Pergamon, New York

    Google Scholar 

  2. Hecht E (2002) Optics. Pearson, San Francisco

    Google Scholar 

  3. Miyazaki D (2005) Shape estimation of transparent objects by using polarization analyses. PhD thesis, The University of Tokyo

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer Science+Business Media New York

About this entry

Cite this entry

Miyazaki, D. (2014). Fresnel Equations. In: Ikeuchi, K. (eds) Computer Vision. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-31439-6_569

Download citation

Publish with us

Policies and ethics