Electron microscopy enables researchers to visualize tiny objects such as viruses, the fine structures of semiconductor devices, and even atoms arranged on a material surface. Focusing down the electron beam to the size of an atom is vital for achieving such high spatial resolution. However, when the electron beam passes through an electrostatic or magnetic lens, the rays of electrons exhibit different focal positions depending on the focusing angle and the beam spreads out at the focus. Correcting this “spherical aberration” is costly and complex, meaning that only a select few scientists and companies possess electron microscopes with atomic resolution.

Researchers from Tohoku University have proposed a new method to form an electron lens that uses a light field instead of the electrostatic and magnetic fields employed in conventional electron lenses. A ponderomotive force causes the electrons traveling in the light field to be repelled from regions of high optical intensity. Using this phenomenon, a doughnut-shaped light beam placed coaxially with an electron beam is expected to produce a lensing effect on the electron beam.

A conceptual illustration of the light-field electron lens. An electron beam (blue) receives the focusing force from a doughnut-shaped light beam (red) at the waist position of the light beam. The inset shows details of the waist area. ©Yuuki Uesugi et al.

The researches theoretically assessed the characteristics of the light-field electron lens formed using a typical doughnut-shaped light beam – known as a Bessel or Laguerre-Gaussian beam. From there, they obtained simple formula for focal length and spherical aberration coefficients which allowed them to determine rapidly the guiding parameters necessary for the actual electron lens design.

The formulas demonstrated that the light-field electron lens generates a “negative” spherical aberration which opposes the aberration of electrostatic and magnetic electron lenses. The combination of the conventional electron lens with a “positive” spherical aberration and a light-field electron lens that offset the aberration reduced the electron beams size to the atomic scale. This means that the light-field electron lens could be used as a spherical aberration corrector.

“The light-field electron lens has unique characteristics not seen in conventional electrostatic and magnetic electron lenses,” says Yuuki Uesugi, assistant professor at the Institute of Multidisciplinary Research for Advanced Materials at Tohoku University and lead author of the study. “The realization of light-based aberration corrector will significantly reduce installation costs for electron microscopes with atomic resolution, leading to their widespread use in diverse scientific and industrial fields,” adds Uesugi.

Looking ahead, Uesugi and colleagues are exploring ways for the practical application of next-generation electron microscopes using the light-field electron lens.

Results of electronic trajectory calculations. An electron objective lens with a spherical aberration of 1 nanometer was corrected using a light-field electronic lens with the negative spherical aberration. The beam radius at the focus (z = 0) was reduced from 1 nm to the atomic scale of 0.3 nm. ©Yuuki Uesugi et al.

Publication Details

“Properties of electron lenses produced by ponderomotive potential with Bessel and Laguerre-Gaussian beams”
Yuuki Uesugi, Yuichi Kozawa and Shunichi Sato
Journal of Optics
DOI: 10.1088/2040-8986/ac6524

▶ Tohoku University
▶ Japan Science and Technology Agency
▶ Laser Applied Material Science (SATO LABORATORY)