Metamaterials and the Wave Nature of Things

The cool thing about nanoscience is that the size of a material can determine its material properties, which happens in part because energy levels are affected by size at small enough length scales. But another factor can be how the size of incident waves, such as light, compares to the size of the material. Imagine green light, with its 530 nm wavelength, striking something that’s less than 100 nm in size. Does the wave nature of the light have an effect? Or, perhaps more intriguingly, imagine green light striking a surface with blobs spaced 530 nm apart. What happens when the blob spacing is similar to the wavelength of the light?

This question is at the heart of the field of metamaterials, which are materials designed with periodic structure to create properties not found in nature. These properties come from the interaction of feature size with the wave nature of light or other natural phenomena. The periodic structure could be alternating one material with another, or even interleaving different shapes. For example, the split-ring resonator shown below can be repeated in an array to create a metamaterial.

The yellow parts are metal, patterned in almost but not quite complete rings, with one ring contained inside the other. In a split-ring resonator, any magnetic field passing through the rings induces rotating currents in the metal, which themselves induce an opposing field. Creating many small split-ring resonators and spacing them microns apart was used in 2006 to create an invisibility cloak  that bends microwave radiation around the cloaked object. Microwaves were used because their wavelength is considerably longer than that of visible light, but researchers are working on smaller split-ring resonators and other methods to cloak objects from visible light.

While there’s no naturally occurring metamaterial that cloaks objects from visible light, I should mention that there are things you’ve probably seen in nature where nanoscale features manipulate light. Butterfly wings, bird feathers,  beetle wing-cases, nacreous shells, and even some plants and berries have structural color. A surface with structural color, like the peacock feathers below, has small periodic features that selectively reflect certain wavelengths of light. (This is different from a pigmented surface which selectively absorbs light.) In some way, when we tune metamaterial properties, we’re following in nature’s footsteps!

Metamaterials can also be developed to control sound waves. Because sound is a compressive wave travelling through various media, like air, a metamaterial with a periodically changing density can redirect sound waves or even block the transmission of sound at certain wavelengths (frequencies). Conversely, materials can be made which preferentially allow some frequencies of sound through, like a filter for the sound you want to hear. This is useful for tuning the sonic landscape, both in casual and industrial settings.

Seismic waves are even larger in wavelength, but as we see every time a severe earthquake strikes an inhabited area, the control of seismic waves might be a great societal good. The same principles that guide researchers in designing materials to redirect sonic waves are being examined to see if seismic wave reflectors might be able to shield human settlements from quake damage in the future.

Metamaterials, which come in an astounding diversity of forms, use periodicity to manipulate light, sound, and even seismic activity! And it all comes from the fact that so many natural phenomena are waves, with characteristic wavelengths and thus a sensitivity to periodic structures at that scale.

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5 responses to “Metamaterials and the Wave Nature of Things

  1. At the wave level of thinking about light interacting with a material, your explanation of metamaterials makes sense. What happens as the intensity of the incoming light is reduced and photons are hitting the material not en masse but a few at a time? Is there a metamaterial equivalent of Young’s double slit experiment? If so, what would the results be and why?

    • Each individual photon is itself an electromagnetic wave, a little packet of energy with a characteristic wavelength. It’s a particle, yes, but with an oscillating nature. Thus individual photons interact with optical metamaterials the same way that a steady stream of photons does. Good point to clarify though, that even with quantization it’s extremely important that particles are also waves.

      • Can an individual photon interact with more than one split ring device? If so, how should I think about that interaction of two devices with one photon? How does the interaction change as I move the split ring devices farther apart so that a single photon is not ‘big’ enough to simultaneously cover both devices?

  2. Pingback: Light, Scattering, and Why the Sky is Blue | letstalkaboutscience

  3. Pingback: Topic Index | letstalkaboutscience

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