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Seeing through materials

By developing a fast algorithm to map out the paths light takes through yogurt, researchers aim to someday see through skin.

Laser focuses light through yogurt Enlarge
Moussa N'Gom, EECS Assistant Research Scientist, demonstrates the use of a laser to focus light through a platelet of yogurt. Photo: Joseph Xu

With yogurt and crushed glass, University of Michigan researchers have taken a step toward using visible light to image inside the body. Their method for focusing light through these materials is much faster and simpler than today’s dominant approach.

Dense structures like bone show up clearly in x-rays, but softer tissues like organs and tumors are difficult to make out. That is because x-rays are strongly deflected by bones, while they cut straight through soft tissue. Visible light, on the other hand, is deflected by soft tissue. Until recently, this has made seeing through skin with visible light a non-starter—while light can get through, it’s scattered every which way. At the same time, visible light would be safer for diagnostic imaging than higher-energy x-rays.

“Light comes in, it hits a molecule, hits another, hits another, does something really crazy, and exits this way,” said Moussa N’Gom, an assistant research scientist in electrical engineering and computer science and first author on the paper in Scientific Reports, explaining the challenge of predicting the paths of individual light rays.

By understanding exactly how a patch of skin scatters the light, researchers hope to carefully pattern light beams so that they focus inside the body—a first step toward seeing into it.

Light comes in, it hits a molecule, hits another, does something really crazy, and exits this way.

Moussa N’Gom, EECS

In their experiments, the researchers spelled “MICHIGAN” with a beam of light shone through yogurt and crushed glass. They chose those materials because they scatter light strongly and serve as good models for skin. Their demonstration, reminiscent of writing a name with a flashlight, shows that they can take a single, quick scan of the material and focus through it at many points—as they would need to do if imaging tissue inside the body.

An improvement on today’s approach

The field of imaging objects through materials, from layers of paint to eggshells and even mouse skulls, has made great strides in the last decade. The typical “holographic” method untangles the scattering pattern by looking at how the light waves interfere with each other: This gives information about how different rays were delayed on their way through the material.

This method is very precise, said N’Gom, but it is slow. To speed things up, researchers typically figure out just enough of the scattering pattern to focus on a particular point. To focus on a different point, the material has to be scanned again. This would slow the process of measuring the size or texture of a tumor, for example.

“Our method is significantly faster and more convenient because we use a single set of measurements to generate all these points, and we don’t have to rescan,” said N’Gom.

As is typical for focusing-through-materials experiments, the researchers used a spatial light modulator to produce patterns of light. If you shone a laser through frosted glass, it would enter at a point on one side, at a particular angle, and then leave the other side through many points, in different directions. By combining a screen with an array of mirrors, a spatial light modulator can do the reverse, sending light to a surface at many points, at many angles, so that these rays converge on a point on the other side of the material.

They set up the spatial light modulator to shine in hundreds of different patterns (461 in all). But rather than analyzing the paths of individual light rays emerging from the other side, N’Gom’s team measured the brightness: how much light made it out.

They developed an algorithm to trawl through the incoming light patterns and outgoing brightness measurements, using the information to build up a mathematical representation of the material’s scattering pattern, called the transmission matrix.

Image Enlarge
Michigan, spelled out in 157 points. The images of each point of focus were layered on top of each other to produce the video. Credit: Michigan Wavefront Shaping, University of Michigan

“Previous techniques, instead, used complex so-called holographic setups to extract the necessary information,” said Raj Rao Nadakuditi, an associate professor of electrical engineering and computer science and senior author on the paper. “We were able to achieve the same through simple brightness measurements and as a result operate much faster.”

Using the transmission matrix, N’Gom’s team could figure out exactly how to set the spatial light modulator to get a bright spot at any point on the other side of the ground glass or yogurt.

In the yogurt, there was a time limit on how long the map was good—just a few minutes. It was enough time for N’Gom and his colleagues to spell “MICHIGAN” in 157 shots.

First images possible within five years

In skin, the time constraints are much tighter—they would need a new map about every millisecond. Even so, with state-of-the-art electronics, N’Gom thinks their algorithm could run that fast.

Another challenge in seeing through skin is that they wouldn’t be able to position a detector beneath it to measure the brightness of the light. For this, N’Gom said that researchers are using ultrasound to detect heating in the target tissue— a measure of how much light is getting through.

Finally, with the light focused inside, an imaging device would still need to focus the light coming back out of the skin. For this, they could essentially run the pattern of light back through the transmission matrix to deduce where the reflection was coming from.

Considering recent progress and ongoing studies in focusing light through translucent materials, N’Gom anticipates that we may see the first visible light images taken through skin within the next five years.

This study, titled “Controlling light transmission through highly scattering media using semi-definite programming as a phase retrieval computation method,” was published today in Scientific Reports.

The work was supported by the Defense Advanced Research Projects Agency. Other researchers on the project were Miao-Bin Lien and Nooshin M. Estakhri, graduate students in electrical engineering and computer science, Eric Michielssen, the Louise Ganiard Johnson Professor of Engineering and a professor of electrical engineering and computer science; and Theodore Norris, the Gerard A. Mourou Collegiate Professor of Electrical Engineering and Computer Science.