Britannica AI Icon
Adding us as a Preferred Source tells Google you trust our content, so our articles show up more often in your Google Search, Discover feed, and AI Overviews.
verifiedCite
While every effort has been made to follow citation style rules, there may be some discrepancies. Please refer to the appropriate style manual or other sources if you have any questions.
Select Citation Style
Feedback
Corrections? Updates? Omissions? Let us know if you have suggestions to improve this article (requires login).
Thank you for your feedback

Our editors will review what you’ve submitted and determine whether to revise the article.

Poynting vector, quantity describing the magnitude and direction of the flow of energy in electromagnetic waves. It is named for English physicist John Henry Poynting, who introduced it in 1884.

The Poynting vector S is defined as to be equal to the cross product (1/μ)E × B, where μ is the magnetic permeability of the medium through which the radiation passes, E is the electric field, and B is the magnetic field. Applying the definition of cross product and the knowledge that the electric and magnetic fields are perpendicular to each other gives the magnitude S of the Poynting vector as (1/μ)EB, where E and B are, respectively, the magnitudes of the vectors E and B. The direction of the vector product S is perpendicular to the plane determined by the vectors E and B. For a traveling electromagnetic wave, the Poynting vector points in the direction of the propagation of the wave. The Poynting vector describes a power per unit area, and therefore its units are watts per square meter.

The Editors of Encyclopaedia Britannica This article was most recently revised and updated by Erik Gregersen.