We investigate control of the lateral Goos–Hänchen shift for TM-polarized light upon reflection from an Otto structure where the air gap is replaced with a coherent atomic medium having a four-level N-configuration. This medium is created by adding an extra upper level to a standard three-level Λ-system via a coherent pump field, which, under a control field, allows switching the medium from transparent to absorbing. We demonstrate that the sign and magnitude of the Goos–Hänchen shift are effectively controlled by varying the strengths of the applied fields without any changes to the structure's geometric parameters (prism, metal film). The proposed approach offers flexible control over the lateral displacement of the reflected beam and may find applications in optical switches and sensors.
Throw a ball almost parallel to a wall — it will slide along it before bouncing off. The same happens with a light beam: when reflected at a shallow angle, it shifts by microns. This Goos–Hänchen shift was long considered a mere amusing paradox.
In a new experiment, the classic setup with a prism and a metal film was improved by replacing the air gap with a cloud of cooled rubidium atoms. A control laser makes this medium transparent or absorbing — as if you could grease the wall on command. This spectroscopic trick was predicted back in the day by Charles Townes and Roy Glauber, who proved that light can reshape material properties.
Now, precise measurement of the beam displacement turns a simple prism into a supersensitive sensor. The tiniest change in the atomic cloud — for instance, a single molecule attaching — noticeably shifts the reflected light. And although the speed of light is unchanging, its path near a boundary becomes a flexible tool.
🎯 The Goos–Hänchen shift is named after German physicists who measured it in 1947 using a prism, a lamp, and a photographic plate. Its typical magnitude is a few micrometers, but in modern setups, amplification can reach hundreds of times, making the shift visible to the naked eye.