Shedding light on Anderson localization

Diffusion of light in a disordered, cloudy medium at intervals of one nanosecond (= billionth of a second). After approximately four nanoseconds, the light can no longer spread any further in the medium.

December 20, 2012

Waves do not spread in a disordered medium if there is less than one wavelength between two defects. Physicists from the universities of Zurich and Constance have now proved Nobel Prize winner Philip W. Anderson’s theory directly for the first time using the diffusion of light in a cloudy medium.

Light cannot spread in a straight line in a cloudy medium like milk because the many droplets of fat divert the light as defects. If the disorder – the concentration of defects – exceeds a certain level, the waves are no longer able to spread in a cloudy medium at all. Philip. W. Anderson was the first to describe this transition to a localized wave in 1958, which is why it is also referred to as Anderson localization. Until now, however, Anderson localization had never been observed. For the first time, physicists from the universities of Zurich and Constance have now demonstrated the Anderson localization of light directly in an experiment. As their article published in the science journal Nature Photonics reveals, the Anderson localization of light only occurs in much cloudier media than milk – in other words, only if there is only about one wavelength between two defects.

Light propagation followed closely to a billionth of a second
For their study, the team examined the diffusion of light in a very strongly scattering medium. “In order to make the diffusion of the light and thus Anderson localization visible, pictures had to be taken at an interval of less than a billionth of a second,” says Christof Aegerter, explaining the technical challenges of the project. Based on these high-resolution images, the researchers were able to show that in the case of Anderson localization light is no longer able to spread any further in the medium after around four billionths of a second (or nanoseconds).

Until now, it was very difficult to calculate certain characteristics of localized states, such as how large the critical concentration of the defects is. “Thanks to our experimental data, the theory will gain new impetus and be able to be refined further,” Aegerter is convinced.

The Anderson localization of waves is a general phenomenon that occurs in all waves with a heavy scattering and is also of practical importance: It describes, among other things, the transition between a conductor and an isolator.

Literature:
T. Sperling, W. Bührer, C. M. Aegerter, G. Maret. Direct determination of the transition to localization of light in three dimensions. Nature Photonics. DOI: 10.1038/NPHOTON.2012.313