Under full bright sunlight illumination, with the solar panels pointed directly at the sun, you're only looking at an electricity generation rate of between 15 and 20 watts with the best polycrystalline solar cells available today, assuming the solar cells cover an entire 1 square foot area. If the solar energy strikes the screen at an oblique (indirect) angle, the energy collection rate begins to fall of dramatically. Indoors, you'd be lucky to generate 1-2 watts.
I'm not saying this is a terrible idea. I'm just saying that best care scenario, it extends your battery life by maybe a minute.
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But how much power do you need to make this technology useful? iPhone has a 1400mAh battery and is rated at a talk time of 8 hours. Presuming that ran the battery to empty, the power usage during talking is 3.7v @ 0.175A per hour, or 0.6Watts ( W = VA ). Actually, it would have to be a little less than this as Li batteries are never run down to 0%.
iPhone is 11.5x6.1 cm so a total surface area of 70cm2. A solar panel under the LCD screen isn't going to cover that whole area - maybe more like 50cm2. A 50cm2 solar cell of 12% efficiency under 'standard test conditions' has a peak output of around 0.6Watts, i.e. it would be generating power at the same rate that it's used.
Now, with 'Standard Test Conditions' being defined as 'midday, US summer time with the solar panels pointing directly at the sun', you're not going to get that kind of power generated whilst inside or with your iPhone held up to your ear. But it does suggest that if you were sitting outside during the daytime listening to music, you could leave your iPhone face upwards and be generating power faster than it's being used. iPhone also has a 250 hour standby time - power usage of about 20mWatts - a solar cell and a few of hours of sunlight every day could extend that indefinitely.