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James Clerk Maxwell

Equations developed by renowned mathematician and physicist James Clerk Maxwell have helped to reveal how crystals can be manipulated to produce a distinctive form of light wave.

The phenomena – recently named Dyakonov-Voigt waves – could have a range of useful applications, such as improving biosensors used to screen blood samples or developing fibre optic circuits that transfer data more efficiently.

Wave discovery

Scientists and engineers from the University of Edinburgh and Pennsylvania State University made the discovery by analysing how light – which travels in the form of waves – interacts with certain naturally occurring or man-made crystals.

They found that Dyakonov-Voigt waves are produced at a specific region – known as an interface – where the crystals meet another material, such as oil or water.

These waves can be produced only using certain types of crystal whose optical properties depend on the direction in which light passes through them, researchers say.

Original equations

The team identified the waves’ unique properties using mathematical models that incorporated equations developed by James Clerk Maxwell. Since the mid-1800s, research on how light interacts with crystals has built on the work of Maxwell, who studied at the University of Edinburgh from the age of 16.

Dyakonov-Voigt waves, named after two leading scientists, diminish as they move away from the interface – a process called decay – and travel only in a single direction, the team found. Other types of so-called surface waves decay more quickly and travel in multiple directions.

The study, published in Proceedings of the Royal Society A, was funded by the Engineering and Physical Sciences Research Council and the US National Science Foundation.

Journal Reference:

  1. Tom G. Mackay, Chenzhang Zhou, Akhlesh Lakhtakia. Dyakonov–Voigt surface wavesProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2019; 475 (2228): 20190317 DOI: 10.1098/rspa.2019.0317

Labels: James Clerk Maxwell,Saturn,light wave,Edinburgh

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