A material that scatters and absorbs light, making it difficult for signals to pass through clearly.A turbid medium is a material that scatters and absorbs light, making it difficult for signals to pass through clearly. Examples include biological tissue, fog, milk, and even the interstellar medium. In such media, photons undergo multiple scattering events, randomizing their directions and causing images to become blurry or completely obscured. This poses a major challenge for applications like medical imaging, optical communication, and astronomy, where one needs to see through or transmit information across such materials.
The study of light scattering in turbid media began in the 19th century with Lord Rayleigh's explanation of why the sky is blue, and John Tyndall's experiments on colloidal suspensions. The modern theory of multiple scattering was developed in the mid-20th century, with contributions from Hendrik van de Hulst and others.
When light enters a turbid medium, it interacts with particles or density fluctuations that have a different refractive index than the surrounding material. Each interaction scatters the photon in a new direction, and the cumulative effect is a random walk. The mean free path—the average distance a photon travels between scattering events—determines how quickly the light becomes diffuse. For thick media, the light can be modeled as a diffusion process, where the intensity spreads out like heat. However, recent advances in wavefront shaping and adaptive optics allow one to pre-compensate for the scattering, focusing light through or even inside the medium.
Turbid media are central to biomedical optics, where techniques like diffuse optical tomography use scattered light to image tissue, and in atmospheric science for understanding light propagation through clouds and aerosols.
The opacity of a turbid medium can sometimes be overcome by using 'scattering lens' techniques, where the random speckle pattern is measured and then inverted to create a focus—effectively turning the scattering material into a lens.

