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Related Concept Videos

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Mathematically, the motion of a wave can be studied using a wavefunction. Consider a string oscillating up and down in simple harmonic motion, having a period T. The wave on the string is sinusoidal and is translated in the positive x-direction as time progresses. Sine is a function of the angle θ, oscillating between +A and −A and repeating every 2π radians. To construct a wave model, the ratio of the angle θ and the position x is considered.
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The simplest mechanical waves are associated with simple harmonic motion and repeat themselves for several cycles. These simple harmonic waves can be modeled using a combination of sine and cosine functions. Consider a simplified surface water wave that moves across the water's surface. Unlike complex ocean waves, in surface water waves, water moves vertically, oscillating up and down, whereas the disturbance of the wave moves horizontally through the medium. If a seagull is floating on the...
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Updated: Jan 19, 2026

Measurements of Waves in a Wind-wave Tank Under Steady and Time-varying Wind Forcing
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Dyakonov-Voigt surface waves.

Tom G Mackay1,2, Chenzhang Zhou2, Akhlesh Lakhtakia2

  • 1School of Mathematics and Maxwell Institute for Mathematical Sciences, University of Edinburgh, Edinburgh EH9 3FD, UK.

Proceedings. Mathematical, Physical, and Engineering Sciences
|September 20, 2019
PubMed
Summary
This summary is machine-generated.

Researchers discovered new Dyakonov-Voigt surface waves at dielectric interfaces. These waves exhibit unique linear-exponential decay and analytical properties, differing from traditional Dyakonov surface waves.

Keywords:
Dyakonov surface wavesVoigt wavessingular optics

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Area of Science:

  • Physics
  • Materials Science
  • Electromagnetism

Background:

  • Planar interfaces between dielectric media can support surface waves.
  • Dyakonov surface waves exist under specific material parameter constraints.

Purpose of the Study:

  • To investigate electromagnetic surface waves at the interface of isotropic and uniaxial non-dissipative dielectric media.
  • To identify new types of surface waves beyond the known Dyakonov surface waves.

Main Methods:

  • Theoretical analysis of electromagnetic wave propagation at a planar dielectric interface.
  • Examination of constitutive parameters and boundary conditions for wave guidance.

Main Results:

  • A new type of surface wave, termed Dyakonov-Voigt (DV) surface waves, was identified.
  • DV surface waves exhibit a unique field decay profile (linear-exponential) in the anisotropic medium.
  • Unlike Dyakonov surface waves, DV surface wave properties like wavenumber can be determined analytically.
  • DV surface waves propagate unidirectionally within each interface quadrant.

Conclusions:

  • The study expands the understanding of surface wave phenomena at dielectric interfaces.
  • Dyakonov-Voigt surface waves represent a distinct class of surface-bound electromagnetic modes.
  • The analytical tractability and directional propagation of DV waves offer potential for novel applications.