The film exhibits a surface reflection of just 0.23 per cent, much lower than the iPhone's surface reflection of 4.4 per cent, for example.
Reflection is the major reason it is difficult to read a phone screen in bright sunlight, as the strong light reflecting off the screen's surface washes out the display.
"Using our flexible anti-reflection film on smartphones and tablets will make the screen bright and sharp, even when viewed outside," said Shin-Tson Wu from the University of Central Florida in the US.
The new film contains tiny uniform dimples, each about 100 nanometres in diameter (about one-thousandth of the width of a human hair).
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The coating can also be used with flexible display applications such as phones with screens that fold like a book, which are expected to hit the market as soon as next year.
Many of today's smartphones use a sensor to detect bright ambient light and then boost the screen's brightness level enough to overcome the strong surface reflection.
Looking for a simpler approach to improve screen readability outside, the researchers turned to nature.
The eyes of moths are covered with a pattern of antireflective nanostructures that allow moths to see in the dark and prevent eye reflections that might be seen by predators.
The researchers developed a fabrication technique that uses self-assembled nanospheres to form a precise template that can be used to create the moth-eye-like structure on a coating.
Tests of the film after optimisation showed that when viewed in sunlight, glass covered with the new film exhibited a more than four-fold improvement in contrast ratio - the difference between the brightest white and darkest black.
When viewed in the shade, glass with the new film showed about a ten-fold improvement in contrast ratio. The researchers also used standard industrial procedures to test its flexibility as well as its anti-scratch and self-cleaning capabilities.
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