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Linked Electric and Magnetic Fields for Source-Free Maxwell Equations

This Demonstration shows the electric and magnetic field lines (in red and blue) of localized, time-dependent, finite-energy, rational solutions (in

, and

) of the source-free Maxwell equations that can be interpreted as classical (nonquantum) photons. For all times, any pair of electric and magnetic field lines is linked.

Contributed by: Michael Trott
From: The Mathematica GuideBook for Programming, second edition by Michael Trott (© Springer, 2008).

Show Initialization Code

(31 lines omitted)

For details, see

W. T. M. Irvine and D. Bouwmeester, "Linked and Knotted Beams of Light," Nature Physics, 4(9), 2008 pp. 716–720.

The explicit forms of the fields are

Maxwell Equations (ScienceWorld)

The Mathematica GuideBook for Programming (Wolfram Library Archive)

"Linked Electric and Magnetic Fields for Source-Free Maxwell Equations" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/LinkedElectricAndMagneticFieldsForSourceFreeMaxwellEquations/

Contributed by: Michael Trott

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