I understand the concept of matter waves. Light has wave-particle duality; it has both wave-like (electromagnetic wave) and particle-like (photons) properties. Similarly, according to de Broglie, all particles (electrons, protons, etc.) have a wave-like property, with their momentum (where momentum = mass x velocity) related to their de Broglie wavelength through the equation:(adsbygoogle = window.adsbygoogle || []).push({});

[itex]\lambda = \frac{h}{p}[/itex]

Photonic crystals affect the motion of electrons. Electromagnetic waves can be propagated through a photonic crystal lattice structure, and through considering the frequencies of these electomagnetic waves at points within the Brillouin zone, it is possible to compose graphs showing the respective electronic band gaps.

What I don't get is how photonic crystals are analogous for matter waves?

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# Matter Wave Analogies

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