A new technique for revealing images of hidden objects may one day allow pilots to peer（凝视，窥视） through fog and doctors to see more precisely¹ into the human body without surgery. Developed by Princeton engineers, the method relies on the surprising ability to clarify an image using rays of light that would typically make the image unrecognizable, such as those scattered² by clouds, human tissue or murky³（黑暗的，朦胧的） water.

In their experiments, the researchers restored an obscured（遮掩的） image into a clear pattern of numbers and lines. The process was akin⁴ to（近似） improving poor TV reception using the distorted, or "noisy," part of the broadcast signal.

"Normally, noise is considered a bad thing," said Jason Fleischer, an assistant professor of electrical engineering at Princeton. "But sometimes noise and signal can interact（互相影响，互相作用） , and the energy from the noise can be used to amplify⁵ the signal. For weak signals, such as distant or dark images, actually adding noise can improve their quality."

He said the ability to boost signals this way could potentially improve a broad range of signal technologies, including the sonograms（声波图） doctors use to visualize⁶ fetuses⁷（胎儿） and the radar⁸ systems pilots use to navigate⁹ through storms and turbulence¹⁰（骚乱，动荡） . The method also potentially could be applied¹¹ in technologies such as night vision goggles¹²（夜视镜） , inspection¹³ of underwater structures such as levies¹⁴（征费，课税） and bridge supports, and in steganography（速记式加密） , the practice of masking signals for security purposes.

The findings were reported online March 14 in Nature Photonics.

In their experiments, Fleischer and co-author Dmitry Dylov, an electrical engineering graduate student, passed a laser beam through a small piece of glass engraved¹⁵ with numbers and lines, similar to the charts used during eye exams. The beam carried the image of the numbers and lines to a receiver connected to a video monitor, which displayed the pattern.

The researchers then placed a translucent¹⁶（半透明的） piece of plastic similar to cellophane tape between the glass plate and the receiver. The tape-like material scattered the laser light before it arrived at the receiver, making the visual signal so noisy that the number and line pattern became indecipherable（难辨认的） on the monitor, similar to the way smoke or fog might obstruct¹⁷ a person's view.

The crucial portion of the experiment came when Fleischer and Dylov placed another object in the path of the laser beam. Just in front of the receiver, they mounted a crystal of strontium（锶） barium（钡） niobate（铌酸盐） (SBN), a material that belongs to a class of substances known as "nonlinear（非线性的） " for their ability to alter the behavior of light in strange ways. In this case, the nonlinear crystal mixed different parts of the picture, allowing signal and noise to interact.

By adjusting an electrical voltage across the piece of SBN, the researchers were able to tune¹⁸ in a clear image on the monitor. The SBN gathered the rays that had been scattered by the translucent plastic and used that energy to clarify the weak image of the lines and numbers.

"We used noise to feed signals," Dylov said. "It's as if you took a picture of a person in the dark, and we made the person brighter and the background darker so you could see them. The contrast makes the person stand out."

The technique, known as "stochastic（随机的，猜测的） resonance," only works for the right amount of noise, as too much can overwhelm（压倒，淹没） the signal. It has been observed in a variety of fields, ranging from neuroscience to energy harvesting, but never has been used this way for imaging.

Based on the results of their experiment, Fleischer and Dylov developed a new theory for how noisy signals move through nonlinear materials, which combines ideas from the fields of statistical¹⁹ physics, information theory and optics.

The research was funded by the National Science Foundation, the U.S. Department of Energy and the U.S. Air Force.

Their theory provides a general foundation for nonlinear communication that can be applied to a wide range of technologies. The researchers plan to incorporate（包含，吸收） other signal processing techniques to further improve the clarity of the images they generate and to apply the concepts they developed to biomedical imaging devices, including those that use sound and ultrasound instead of light.