Hyperlens crystal can image 360 times smaller than infrared wavelength down to 30 nanometers

hexagonal boron nitride (hBN) is a natural crystal with hyperlensing properties. The best previously reported resolution using hBN was an object about 36 times smaller than the infrared wavelength used: about the size of the smallest bacteria. The new paper describes improvements in the quality of the crystal that enhance its potential imaging capability by about a factor of ten.

Above – New hyperlens crystal is capable of resolving details as small as a virus on the surface of living cells. The atomic structure of the hexagonal boron nitride crystal is shown in the cutout. (Keith Wood / Vanderbilt)

The researchers achieved this enhancement by making hBN crystals using isotopically purified boron. Natural boron contains two isotopes that differ in weight by about 10 percent, a combination that significantly degrades the crystal’s optical properties in the infrared.

The researchers calculate that a lens made from their purified crystal can in principle capture images of objects as small as 30 nanometers in size. To put this in perspective, there are 25 million nanometers in an inch and human hair ranges from 80,000 to 100,000 nanometers in diameter. A human red blood cell is about 9,000 nanometers and viruses range from 20 to 400 nanometers.

Over the years, scientists have developed many instruments capable of producing images with nanoscale resolution, such as electron-based and atomic-force microscopes. However, they are incompatible with living organisms: either they operate under a high vacuum, expose samples to harmful levels of radiation, require lethal sample preparation techniques like freeze drying or remove samples from their natural, solution-based environment.

The primary reason for developing hyperlenses is the prospect that they can provide such highly detailed images of living cells in their natural environments using low-energy light that does not harm them. In addition, using infrared light to perform the imaging can also provide spectroscopic information about the objects it images, providing a means to ‘fingerprint’ the material. These capabilities could have a significant impact on biological and medical science. The technology also has potential applications in communications and nanoscale optical components.

The physics of hyperlenses is quite complex. The level of detail that optical microscopes can image is limited by the wavelength of light and the index of refraction of the lens material. When combined with the factors of lens aperture, distance from the object to the lens and the refractive index of the object under observation, this translates to a typical optical limit of about one half the wavelength used for imaging. At the infrared wavelengths used in this experiment, this “diffraction limit” is about 3,250 nanometers. This limit can be surpassed by using hBN due to its ability to support surface phonon polaritons, hybrid particles made up of photons of light coupling with vibrating, charged atoms in a crystal that have wavelengths much shorter than the incident light.

In the past, the problem with using polaritons in this fashion has been the rapidity with which they dissipate. By using hBN crystals made from 99 percent isotopically pure boron, the researchers have measured a dramatic reduction in optical losses compared to natural crystals, increasing the polariton’s lifetime three-fold, which allows them to travel triple the distance. This improvement translates into a significant improvement in imaging resolution. The researchers’ theoretical analysis suggests that another factor of ten improvement is possible.

“Currently, we have been testing very small flakes of purified hBN,” said Caldwell. “We think that we will see even further improvements with larger crystals.”

Nature Materials – Ultralow-loss polaritons in isotopically pure boron nitride. Dec 11, 2017. Alexander J. Giles, Siyuan Dai, Igor Vurgaftman, Timothy Hoffman, Song Liu, Lucas Lindsay, Chase T. Ellis, Nathanael Assefa, Ioannis Chatzakis, Thomas L. Reinecke, Joseph G. Tischler, Michael M. Fogler, J. H. Edgar, D. N. Basov and Joshua D. Caldwell

Abstract
Conventional optical components are limited to size scales much larger than the wavelength of light, as changes to the amplitude, phase and polarization of the electromagnetic fields are accrued gradually along an optical path. However, advances in nanophotonics have produced ultrathin, so-called ‘flat’ optical components that beget abrupt changes in these properties over distances significantly shorter than the free-space wavelength. Although high optical losses still plague many approaches, phonon polariton (PhP) materials have demonstrated long lifetimes for sub-diffractional modes in comparison to plasmon-polariton-based nanophotonics. We experimentally observe a threefold improvement in polariton lifetime through isotopic enrichment of hexagonal boron nitride (hBN). Commensurate increases in the polariton propagation length are demonstrated via direct imaging of polaritonic standing waves by means of infrared nano-optics. Our results provide the foundation for a materials-growth-directed approach aimed at realizing the loss control necessary for the development of PhP-based nanophotonic devices.

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